Relevant bibliographies by topics / Diagram of fracture strain

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Diagram of fracture strain'

Author: Grafiati
Published: 28 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Diagram of fracture strain"

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Vilotic, Dragisa, Sergei Alexandrov, Aljosa Ivanisevic, and Mladomir Milutinovic. "Reducibility of Stress-Based Workability Diagram to Strain-Based Workability Diagram." International Journal of Applied Mechanics 08, no. 02 (March 2016): 1650022. http://dx.doi.org/10.1142/s1758825116500228.

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The strain-based and stress-based workability diagrams are often used to predict the initiation of ductile fracture in metal forming. The strain-based workability diagram is restricted to free surface fracture and postulates that the initiation of fracture is independent of the strain path. It is shown in the present paper that under these conditions the strain-based workability diagram is identical to the stress-based workability diagram. Using an available stress-based workability diagram the strain-based workability diagram is found in a much larger domain in the space of two in-surface principal strains as compared to the typical domain covered by standard tests used to determine strain-based workability diagrams. Two feasible tests are designed to determine the complete strain-based workability diagram.
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Budden, P. J. "Failure assessment diagram methods for strain-based fracture." Engineering Fracture Mechanics 73, no. 5 (March 2006): 537–52. http://dx.doi.org/10.1016/j.engfracmech.2005.09.008.

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Lomunov, A. K., T. N. Yuzhina, L. Kruszka, and W. W. Chen. "DEFORMING AND FRACTURE OF LINDEN AND PINE UNDER INTENSIVE DYNAMIC IMPACTS." Problems of strenght and plasticity 82, no. 1 (2020): 43–51. http://dx.doi.org/10.32326/1814-9146-2020-82-1-43-51.

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The paper presents the results of dynamic tests under compression of two wood species: linden and pine under loading along and across the fibers. Dynamic tests were carried out using the modified Kolsky method with the realization of multi-cycle loading of the sample during one test. As a result, strain diagrams were obtained for uniaxial stress state taking into account additional loading cycles The use of the multi-cycle loading mode made it possible to obtain a significantly greater degree of the sample deformation than with traditional single-cycle loading. To create a pulse load, a gas gun was used. According to the experimental results, dynamic deformation diagrams were obtained, as well as ultimate strength and deformation characteristics, fracture energy for linden and pine were determined depending on the cutting angle of the samples and the strain rate. A strong anisotropy of the properties of the tested materials is observed: the samples have the greatest strength when a load is applied along the fibers, and the least - across the fibers. A positive effect of the strain rate is noted. The module of the load branch is non-linear and, as a rule, is smaller than the module of the unload branch (while maintaining the integrity of the sample). The nature of the deformation and fracture of the samples strongly depends on the angle of cutting-out. At cutting angle across the fibers, the deformation diagram after reaching a certain threshold value is close to an ideally plastic diagram. At cutting angle along the fibers, the initial portion of the diagrams is close to linear, i.e. elastic deformation takes place. However, after reaching a certain value (“yield strength”), the diagram becomes nonlinear. This kind of behavior takes place in those experiments in which the destruction of the samples occurs. For both wood species, there is a significant excess of energy absorption by samples cut and tested along the fibers, compared with samples cut and tested across the fibers.
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Mironov, Vladimir I., Olga A. Lukashuk, and Ivan S. Kamantsev. "Experimental Study of Strain-Softening Stage in Materials." Materials Science Forum 946 (February 2019): 276–81. http://dx.doi.org/10.4028/www.scientific.net/msf.946.276.

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Physical theory of reliability is based on research into degradation processes of various origins which take place in a material of a stressed construction. Experimental evaluation of parameters carried out for such processes is a practically important problem by itself. One of the approaches to solving this problem is related to the studies into the stage of material softening due to deformation. This paper analyzes the issues of experimental validation of material softening properties in terms of a phenomenological approach to the problem of structural fracture. Results of deformation analysis for the “machine – model specimen” system, using catastrophe theory are used to form requirements for carrying out experiments which investigate the softening stage of materials. The success of such experiments – which should include recording a branch descending to zero on a computer diagram – is possible when small specimen, made from structurally heterogeneous materials, are strained in a sufficiently rigid testing machine. Thus, the conditions for manifestation of the softening stage connect properties of the material with properties of the load-applying system. Therefore, the material's limiting state – preceding the fractured – also depends on the conditions of loading, and the criteria of that fracture would be nonlocal. In consideration of the results of diagrams plotted from various bases for deformation measurement, a necessity of utilizing local material characteristics for calculation purposes is discussed. As an example of using the complete diagrams for determining kinetics of material degradation from external load, the results of specimen testing, which follows a cyclic training, are cited.
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Li, Fei-Fan, Gang Fang, and Ling-Yun Qian. "Forming limit analysis of Mg-2Zn-1.2Al-0.2Ca-0.2RE alloy sheet using ductile fracture models." International Journal of Damage Mechanics 29, no. 8 (June 9, 2019): 1181–98. http://dx.doi.org/10.1177/1056789519855763.

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This work was aimed to experimentally and theoretically investigate the formability of a new magnesium alloy sheet at room temperature. The fracture forming limit diagram was predicted by MMC3 and DF2014 models, where the non-linear strain path effect was taken into account by means of damage accumulation law. In order to obtain the instantaneous values of the stress triaxiality and the Lode parameter during the deformation process, strains tracked by digital image correlation technique were transformed into stresses based on the constitutive equations. The fracture forming limit diagram predicted by the fracture models was compared with the forming limits obtained by ball punch deformation tests. The prediction errors were evaluated by the accumulative damage values, which verified the advantages of ductile fracture models in predicting the forming limits of the magnesium alloy sheets.
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Mohamed, M. Jinnah Sheik, and N. Selvakumar. "Studies on Formability Behaviour of Aluminium Alloy Sheets with Ceramic Nanocoatings." Advanced Materials Research 984-985 (July 2014): 482–87. http://dx.doi.org/10.4028/www.scientific.net/amr.984-985.482.

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Forming limit diagram presents limit strains for different linear strain paths. In other words it indicates localized formability of sheet metals under different proportional loading and is considered a powerful tool for trouble shooting in sheet-metal forming industries. In this study in-plane and out-of-plane forming limit diagrams were determined for aluminum 5052. In the experimental works, all specimens were prepared in the rolling direction and annealed before testing. Forming up to fracture was carried out on INSTRON UTM with a tensile force of 1N. The sheet samples were subjected to tension-compression state of strain by varying the notch sizes of the samples. FLD was drawn by plotting the minor strain in abscissa and corresponding major strain in ordinate and by drawing a curve which separates the safe region from the unsafe region.
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Park, Namsu, Hoon Huh, and Jeong Whan Yoon. "Anisotropic fracture forming limit diagram considering non-directionality of the equi-biaxial fracture strain." International Journal of Solids and Structures 151 (October 2018): 181–94. http://dx.doi.org/10.1016/j.ijsolstr.2018.01.009.

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Lyamina, Elena, Alexander Pirumov, and Yeong Maw Hwang. "An Approach for Predicting the Initiation of Ductile Fracture in Plane Strain Rolling." Key Engineering Materials 827 (December 2019): 379–84. http://dx.doi.org/10.4028/www.scientific.net/kem.827.379.

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The paper extends Orowan’s method to the prediction of ductile fracture in plane strain rolling. In general, any uncoupled ductile fracture criterion can be used in conjunction with the solution found. However, the present paper focuses on a ductile fracture criterion based on the workability diagram. It is assumed that the initiation of fracture occurs at the axis of symmetry.
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Qian, Z., Guang Ye, Erik Schlangen, and Klaas van Breugel. "3D Lattice Fracture Model: Application to Cement Paste at Microscale." Key Engineering Materials 452-453 (November 2010): 65–68. http://dx.doi.org/10.4028/www.scientific.net/kem.452-453.65.

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The fracture processes in cement paste at microscale are simulated by the 3D lattice fracture model based on the microstructure of hydrating cement paste. The uniaxial tensile test simulation is carried out to obtain the load-displacement diagram and microcracks propagation for a Portland cement paste specimen in the size of 100×100×100 µm3 at the degree of hydration 69%. The Young's modulus, tensile strength, strain at peak load and fracture energy are computed on the basis of the load-displacement diagram.
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Kovar, Martin, and Marek Foglar. "Design and Evaluation of the Method of Parameterization of the Force-Deflection Diagram of FRC." Advanced Materials Research 1106 (June 2015): 98–101. http://dx.doi.org/10.4028/www.scientific.net/amr.1106.98.

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Fiber-reinforced concrete (FRC) has mechanical properties that enhance its suitability for use in structures subjected to high strain rates, e.g. blast or impact loading. The fracture energy value is the decisive material characteristic for assessing the damage to concrete structures due to loadings with high strain rates. An analytical description of the force-deflection diagram of FRC can be a very efficient instrument for making a preliminary estimate of the fracture and mechanical properties of FRC. On the basis of our experiments and experiments from other authors, a tool for an analytical description of the force-deflection diagram for various strength classes, fiber types, etc. is proposed and evaluated.
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Dissertations / Theses on the topic "Diagram of fracture strain"

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Dubravec, Kristián. "Elastoplastická analýza napětí a deformace a stanovení lomových parametrů při tahovém namáhání těles s koncentrátory napětí." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-443729.

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The aim of this thesis is the construction of a diagram of fracture strain for high strength steel OCHN3MFA and its application for the estimation of fracture toughness of this material. The first part of the thesis contains the necessary theoretical framework for numerical modelling of tensile tests of various specimens - smooth specimen, specimen with a notch and specimen with a circumferential crack, it describes the influence of triaxiality on the fracture of bodies and the possibilities of construction of the diagram of fracture strain. Subsequently, a numerical model of these specimens is created using the finite element method (FEM). A non-linear, elastoplastic calculation is performed. Fracture is identified by means of comparing the true stress versus the strain obtained from tests with the finite element analysis results. Stress–strain states of specimens at the moment of fracture are obtained from a numerical model. A diagram of fracture strain is constructed, and it is used to estimate the fracture toughness of a cracked body. Finally, a local approach, which uses the diagram of fracture strain, and a classical approach of fracture mechanics, especially the stress intensity factor, are compared.
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Zhou, Qing 1964. "Analysis of plane strain necking and fracture in strain hardening materials." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/11636.

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Mahmood, K. "Influence of strain rate on oxide fracture." Thesis, Cranfield University, 1988. http://dspace.lib.cranfield.ac.uk/handle/1826/11358.

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The ability of metals and alloys to form and retain protective oxide scales is crucial to their stability at elevated temperatures for extended times. Hence the identification of factors that promote or limit the integrity of oxides on high temperature materials has been the subject of intensive investigations. In the present study the mechanical properties of this chromiwm.-rkh scale on 304 stainless steel foil has been investigated in relation to the deformation rates in the substrate. It was shown that heavy cold working (up to 90%) delays the onset of breakaway oxidation and results in a very adherent scale. The cracking behaviour of the scale was found to be strain rate and temperature dependent under slow strain rate conditions when the substrate deforms by creep. No strain rate dependence was observed over the temperature range 700-900°C when faster strain rates (> 10- S sec -1) were applied. The transition between these two responses was found to vary only slightly with temperature between S.Ox10- S sec- 1 and 7.Sx10- S sec -1 ,increasing as the temperature is raised. A new method has been described for determining the fracture behaviour of oxide scale by estimating the composite defect size. From a knowledge of the onset of scale cracking, determined in Sl(U usi ng (h~ acoustic emission technique, it was possible to correlate the measured intercrack spacing with the fracture toughness from which the tensile properties of the scale can be evaluated.
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Alinaghian, Yaser. "The Effect of Pre-strain and Strain Path Changes on Ductile Fracture." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/23917.

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Industrial metal forming operations generally require several deformation steps in order to create the final product. The mechanical behavior of materials undergoing strain path changes can be very different from those deformed in a given direction to fracture. The work presented here employed laser drilled model materials to better understand the effect of pre-strains and strain path changes on void growth and linkage leading to fracture is studied. The experimental results show that increasing pre-strain results in faster void growth which was justified in terms work hardening rate in the sample. Scanning electron microscope images revealed that the ductility of the sample decreased with increasing pre-strain but only slightly compared to the large decrease in far field strain at failure. This suggests that pre-strain affects strain localization significantly and to a lesser extent the ductility. Finally a finite element model has been built to predict the linkage between voids.
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Moore, Andrew J. "Strain analysis using ESPI applied to fracture mechanics." Thesis, Loughborough University, 1993. https://dspace.lboro.ac.uk/2134/11889.

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Electronic speckle pattern interferometry (ESPI) has become an established technique for surface deformation studies. However, difficulties remain in the practical use of ESPI, primarily because results require skilled and time-consuming interpretation. The work reported here has enabled automated acquisition and processing of ESPI displacement data. Further processing has enabled the components of surface strain and stress to be, determined automatically. Such measurements are of great importance for experimental fracture mechanics studies, a quantitative approach to measuring the severity of defects in a loaded structure. Having established the importance of experimental optical methods in fracture mechanics, and the particular advantages of ESPI, a study has been undertaken to determine whether ESPI can be used for quantitative fracture mechanics measurements. Automated analysis for in-plane displacement measurements with ESPI was achieved by the phase-stepping technique. Numerical differentiation of the displacement data allowed surface strain to be evaluated. The accuracy of such measurements was investigated, particularly with regard to speckle noise inherent in the data. Speckle noise limits the accuracy of all measurements, and a practical threshold for displacement and strain of ±0.03~m and ±6~strain was found. From these considerations, two new phase-stepping algorithms have been proposed for ESPI. The first offers improved accuracy by the way it eliminates speckle noise; the second has allowed phase-stepping of ESPI addition fringes for the first time. · In the past ESPI has been restricted to uniaxial measurements. A new interferometer design enabled displacement to be measured along two axes simultaneously: extension to three-dimensional sensitivity is discussed. Automated displacement and strain measurements, recorded with the dual-sensitivity interferometer, are presented for a cantilever loaded at its free end.
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Millereau, Pierre Michel. "Large Strain and Fracture of Multiple Network Elastomers." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066082/document.

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Durant ce travail, nous avons étudié les propriétés mécaniques et de fracture d'élastomères à réseaux multiples synthétisés par des étapes successives de gonflement/polymérisation inspirées de l'architecture moléculaire développée par Gong pour les doubles réseaux hydrogels. Une méthode de synthèse plus versatile a été utilisée pour varier de façon continue le pré-étirement isotrope du premier réseau λ0, qui contrôle le module d'Young et le durcissement. Dans le cas d'une dilution importante du premier réseau (<10%), une scission moléculaire apparaît à grande déformation dans le réseau pré-étiré sans rompre le matériau. Le taux de dilution contrôle la quantité d’endommagement et donc la pente de la courbe contrainte-déformation. Finalement, pour les systèmes les plus dilués (<3%), une striction est observée au-dessus d’un seuil de contrainte. Changer le taux de réticulant du premier réseau ou les monomères utilisés ont conduit par ailleurs à l’obtention de comportements mécaniques similaires. L’énergie de fracture Γ est une fonction croissante de λ0. Des techniques de visualisation locale comme la Corrélation d’Image Numérique et l’intégration de molécules méchanoluminescentes ont été utilisées pour décrire une zone d’endommagement en tête de fissure dont la taille augmente avec λ0. Enfin, le mécanisme de renforcement des élastomères à réseaux multiples a pu être partiellement décrit dans le contexte du modèle de Brown sur les doubles réseaux
We investigated systematically the mechanical and fracture properties of multiple network elastomers synthesized by successive swelling/polymerization steps inspired by the molecular architecture of Gong’s double network gels. A more versatile synthesis method was used to vary continuously the isotropic degree of prestretching λ0 of the first network resulting in a wider range of mechanical behaviours, where λ0 controls the Young’s modulus at small strain and the strain hardening at large strain. If the first network is diluted enough (<10%) molecular bond breakage occurs in this prestretched network at high strain while avoiding sample failure. The degree of dilution controls the amount of damage and therefore the slope of the stress-strain curve. Finally, for the most diluted systems (<3%), a yield stress and a necking phenomenon was observed. Changing the degree of crosslinking of the first network or the monomers used led to the same qualitative mechanical behaviour. The fracture energy Γ was shown to be an increasing function of λ0 however different regimes could be distinguished with macroscopic fracture occurring before or after bulk damage was detected. Visualisation techniques such as Digital Image Correlation and embedded mechanoluminescent molecules were used to map a damage zone in front of the crack tip, the size of which increased with λ0. Finally, the toughening mechanism of the multiple network elastomers could be understood in a nearly quantitative way within the framework of Brown's model of fracture of double network gels
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Fung, Kam-sang. "Fatigue crack propagation with strain energy density approach /." [Hong Kong] : University of Hong Kong, 1989. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12827204.

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Martinsen, Vegard. "Micromechanical Modelling of Strain Localization and Fracture in Aluminium." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for konstruksjonsteknikk, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-18812.

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Aluminium is often treated as a homogeneous material. However, when investigated on a microscopic scale, a granular structure is observed. The mechanical properties of the constituents, together with the distribution of stresses and strains, determines the fracture toughness of the material.The objective of this master thesis was to investigate strain localization and fracture in aluminium on a microscopic scale. Relevant literature regarding fracture mechanisms was studied in order to determine which parameters influence the fracture toughness of aluminium. The distribution of effective plastic strain together with the stress triaxiality ratio is thought to give a prediction of the initiation of ductile fracture.A study of the microstructure of aluminium has been carried out. The aim of this study was to gain understanding of the mechanisms leading to the formation of a precipitate free zone (PFZ) near the grain boundary. Also the relation between the mechanical properties of the PFZ and the grain interior was studied. The literature study uncovered that the PFZ is expected to have a low yield stress and a high work hardening rate compared to the grain interior. A simplified numerical model representing a heterogeneous microstructure was developed. The aim of this model was to investigate the effect of certain parameters on the distribution of stresses and strains. The yield stress and work hardening rate of the PFZ as well as the global stress triaxiality, were all variables in a parameter study. A clear tendency of strain concentration in the PFZ was observed, which is consistent with the literature. For low global stress triaxiality, the PFZ oriented at an angle with respect to the external load was found to be the most likely location for initiation of intergranular fracture. Increasing the yield stress and work hardening rate of the PFZ was found to favor transgranular fracture.Due to long computational time, avoiding crystal plasticity analyses is of interest. Whether a material model using isotropic plasticity is able to give the same results as the crystal plasticity model has been investigated. The difference between the average effective plastic strain in the grain interior and in the PFZ was found to be lower using crystal plasticity than when using isotropic plasticity. Using crystal plasticity, the maximum effective plastic strain was found to be dependent of the crystallographic orientations of the grains. However, a more extensive study is required before conclusions regarding the consistency of the results are drawn.
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Dabboussi, Wael. "High strain rate deformation and fracture of engineering materials." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=79224.

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Containment structures for aircraft engines must withstand impacts of failed engine components, which may be traveling at extremely high velocities. Therefore, the design of such structures requires a thorough knowledge of material behaviour at high rates of deformation. It is well known that at strain rates above 102 s-1, the yield stress of metals may be significantly different than at quasi-static rates. In addition, material fracture under dynamic loading can also differ from that at slower rates due to manifestation of different failure mechanisms. The purpose of this study was to gain an understanding and determine the constitutive behaviour and failure criteria for several metals used in the aerospace industry; specifically Aluminium (6061-T6), Titanium (Ti-6Al-4V) and Stainless Steel (Nitronic 33). An extensive procedure for determining the constitutive response and ductility limits of those materials, at quasi-static and dynamic strain rates, was developed relying on laboratory experiments and computational simulations. The Johnson-Cook constitutive model coupled with a critical equivalent plastic strain failure criterion was used in simulating the material. Results of the different tests and simulations indicated the success of the modeling process for the 6061-T6 and Ti-6Al-4V, however considerable discrepancies were observed when simulating the behaviour of Nitronic 33 using the Johnson-Cook model. The multiplicative nature of the model, and the high strain hardening of this material were among the reasons the Johnson-Cook is unable to represent the material when simulating events with high strain and high strain rates such as punching.
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Vijayakumar, Vinod. "Stress/strain environments in healing human tibial fractures." Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275202.

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Books on the topic "Diagram of fracture strain"

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Berger, John R. Study of static and dynamic fracture using strain measurements. Boulder, Colo: U.S. Dept. of Commerce, National Institute of Standards and Technology, 1990.

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Martínez Pañeda, Emilio. Strain Gradient Plasticity-Based Modeling of Damage and Fracture. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-63384-8.

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Berger, John R. Study of static and dynamic fracture using strain measurements. Boulder, Colo: U.S. Dept. of Commerce, National Institute of Standards and Technology, 1990.

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Kitamura, Takayuki. A nonlinear high temperature fracture mechanics basis for strainrange partitioning. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990.

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Kitamura, Takayuki. A nonlinear high temperature fracture mechanics basis for strainrange partitioning. Cleveland, Ohio: Lewis Research Center, 1989.

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Wong, Louis Man Chu. Effect of formation on local strain fields and fracture of paper. Ottawa: National Library of Canada, 1995.

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Tejchman, Jacek. Simulations of strain localization in plain and reinforced concrete with enhanced continuum models. Gdańsk: Wydawn. Politechniki Gdańskiej, 2010.

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Wong, A. K. On the application of the strain energy density theory in predicting crack initiation and angle of growth. Melbourne, Australia: Aeronautical Research Laboratories, 1986.

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Whyatt, J. K. Numerical exploration of shear-fracture-related rock bursts using a strain-softening constitutive law. Washington: U.S. Dept. of the Interior, Bureau of Mines, 1991.

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W, Dally James, ed. Experimental solid mechanics. Knoxville, Tenn: College House Enterprises, 2010.

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Book chapters on the topic "Diagram of fracture strain"

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Gooch, Jan W. "Stress–Strain Diagram." In Encyclopedic Dictionary of Polymers, 705. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_11286.

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Papadopoulos, George A. "The Elastic Strain Energy Density." In Fracture Mechanics, 207–12. London: Springer London, 1993. http://dx.doi.org/10.1007/978-1-4471-1992-0_5.

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Aifantis, E. C. "Strain gradient interpretation of size effects." In Fracture Scaling, 299–314. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4659-3_16.

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Gdoutos, Emmanuel E. "Strain Energy Density Failure Criterion: Mixed-Mode Crack Growth." In Fracture Mechanics, 195–238. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8158-5_7.

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Gdoutos, Emmanuel E. "Strain Energy Density Failure Criterion: Mixed-Mode Crack Growth." In Fracture Mechanics, 215–57. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35098-7_7.

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Alderliesten, René. "Stress and Strain." In Fatigue and Fracture of Fibre Metal Laminates, 59–76. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56227-8_4.

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Mughrabi, Hael. "Cyclic Strain Localization in Fatigued Metals." In Physical Aspects of Fracture, 271–81. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0656-9_20.

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Gdoutos, E. E. "Strain energy density failure criterion." In Fracture Mechanics Criteria and Applications, 195–229. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1956-3_6.

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Stüwe, H. P. "Examples of Strain Localisation." In Localization and Fracture Phenomena in Inelastic Solids, 1–20. Vienna: Springer Vienna, 1998. http://dx.doi.org/10.1007/978-3-7091-2528-1_1.

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Rey, C., T. Hoc, and Ph Erieau. "Strain Localization in Single Crystals and Polycrystals." In Physical Aspects of Fracture, 225–41. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0656-9_17.

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Conference papers on the topic "Diagram of fracture strain"

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Budden, Peter J., and Michael C. Smith. "Numerical Validation of a Strain-Based Failure Assessment Diagram Approach to Fracture." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77377.

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The basic approaches in defect assessment procedures such as R6 consider the stresses on the section containing the flaw. Such approaches can be overly conservative and lead to unacceptably small estimates of limiting defect sizes for cases where the applied loads are due to displacements or strains well in excess of yield, when significant plastic relaxation of stress occurs. The potential for over-conservative assessments has led to a renewed interest in recent years in strain-based assessment methods, in both the power and pipeline industries. Significant levels of plastic strain can be imposed across the flawed section in some cases. Recently, the present author has published a general approach to strain-based fracture that uses a strain-based failure assessment diagram (SB-FAD). This includes a range of Options similar to that of the basic R6 approach. The present paper describes some validation of the SB-FAD approach based on elastic-plastic cracked-body finite element data for plates and cylinders.
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Watanabe, Shin-ichi, Koh-ichi Imamura, Osamu Watanabe, and Akihiro Matsuda. "Effect of Strain Amplitudes and Mean Strain Values on Fatigue Life at Elevated Temperature." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97867.

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This paper shows randomness effects of loading amplitude and mean value of displacement-controlled loading history for perforated plates made of SUS304 stainless steel at elevated temperature of 550°C. Under the random wave of strain amplitude, the fracture behavior at elevated temperature environment is clarified by measuring the load-deflection curve at all cycles. The data of experiments were evaluated by Miner’s rule, which has been established as an evaluation method for load variation problem. Number of cycles to fracture is compared to show the good agreement with the Best Fit Fatigue curve (BFF). Peak count method also was used in calculating frequency of the strain in order to evaluate Miner’s rule, and the local strain concentration is calculated based on Stress Redistribution Locus (SRL) method. The other object of this study is to evaluate effect of mean value of strain in loading diagram on fatigue life. The mean strain were used for the cases of R = −0.0, −0.2, −0.4, −0.8 and −1.0. The crack length is measured by using photographs with the CCD video camera at a constant frequency. From the measurement, it is found that the number of cycles to failure is reduced when the absolute of value of mean strain is decreased. And cracks develop at both sides around the hole, but the growth of each crack may not be symmetric. By using these inelastic strain amplitude and crack initiation cycle, the experimented results are shown at the present study.
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Vyas, N. S., Sidharth, and J. S. Rao. "A Fracture Mechanics Approach to Life Prediction of Turbine Blades." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-406.

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Emerging blade technologies are finding it increasingly essential to correlate blade vibrations to blade fatigue in order to asses the residual life of existing blading and for development of newer designs. In this paper an analytical code for Dynamic Stress Analysis and Fatigue Life Prediction of blades is presented. The life prediction algorithm is based on a combination method, which combines the local strain approach to predict the initiation life and fracture mechanics approach to predict the propagation life, to estimate the total fatigue life. The conventional stress based approach involving von Mises theory along with S-N-Mean stress diagram suffer from the drawback that they do not make allowance for the possibility of development of plastic strain zones, especially in cases of low cycle fatigue. In the present paper, strain life concepts are employed to analyse the crack initiation phenomenon. Dynamic and static stresses incurred by the blade form inputs to the life estimation algorithm. The modeling is done for a general tapered, twisted and asymmetric cross section blade mounted on a rotating disc at a stagger angle. Blade damping is nonlinear in nature and a numerical technique is employed for estimation of blade stresses under typical nozzle excitation. Critical cases of resonant conditions of blade operation are considered. Neuber’s rule is applied to the dynamic stresses to obtain the elasto-plastic strains and then the material hysteresis curve is used to iteratively solve for the plastic stress. Static stress effects are accounted for and crack initiation life is estimated by solving the strain life equation. Crack growth formulations are then applied to the initiated crack to analyse the propagation of crack leading to failure. The engineering approximations involved are stated and the algorithm is numerically demonstrated for typical conditions of blade operations.
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Huang, Y., Y. J. Wang, J. Cao, and M. Li. "Prediction of Forming Limit in Single Point Incremental Forming With the Ductile Fracture Criterion." In ASME 2007 International Manufacturing Science and Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/msec2007-31129.

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Many experiments have been conducted to investigate the forming limit in single point incremental forming (SPIF). The forming limit curve (FLC) generated from these experiments follows a linear line with a negative slope in the positive minor strain side of the forming limit diagram (FLD). It is also found that, in general, for the same material subjected to the SPIF process, the failure strain level greatly exceeds the traditional FLC based on theories of the plastic instability [Iseki and Kumon, 1994]. Currently, no theoretical work or no criterion was proposed to predict this FLC in the SPIF. In this paper, the criterion for the ductile fracture [Oyane, 1980] is introduced to try to predict the forming limit of the material in the SPIF. Based on the calculated stress and strain from the finite element simulation and the ductile fracture criterion, the fracture initiation site and the forming limit are predicted. The predicted results are compared with that from the SPIF experiment to verify the feasibility of the proposed method.
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Minami, Fumiyoshi, Mitsuru Ohata, Daisuke Watanabe, Satoshi Igi, Takahiro Kubo, and Nobuhisa Suzuki. "Crack Geometry Effect on Stress-Strain Fields for Crack Under Biaxial Loading." In 2008 7th International Pipeline Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ipc2008-64457.

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With increasing demand of high strength and high pressure pipelines in gas transmission industries, the fracture control design of pipelines has been driven primarily. This paper addresses the stress and strain fields for a crack in a wide plate component under biaxial loading, which simulates a large diameter pipe subjected to inner pressure coupled with axial loading. Three-dimensional FE-analyses are conducted. It was found that biaxial loading has a significant effect on the stress fields of through-thickness crack; the near crack-tip stress is elevated to a large extent by biaxial loading. By contrast, the stress field for a surface crack is not sensitive to biaxial loading, while the near crack-tip stress at the crack corner is increased locally by biaxial loading. The Weibull stress criterion was applied to discuss the biaxial loading effect on the brittle fracture strength of the wide plate. Ductile crack initiation properties are also discussed with two-parameter (plastic strain and stress triaxiality) diagram. The ductile damage is increased by biaxial loading for a through-thickness crack, whereas a surface crack has little effect of biaxial loading on the ductile damage.
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Jang, Youn-Young, Ju-Yeon Kang, Nam-Su Huh, Ik-Joong Kim, Cheol-Man Kim, and Young-Pyo Kim. "Predictions of Tensile Strain Capacity for Strain-Based Pipelines With a Circumferential and Internal Surface Flaw." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96480.

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Abstract Strain-based design assessment (SBDA) has been known for suitable assessment concept for pipelines subjected to displacement-controlled load and high plastic deformation rather than conventional stress-based design assessment. Tensile strain capacity (TSC) has been used for one of important factors to indicate limit state in strain-based design, so that it is main concern to predict accurate TSC to ensure the structural safety and integrity of pipelines. For the pipeline containing a flaw, especially a girth weld flaw, TSC based on fracture mechanics can be determined. Crack-tip opening displacement (CTOD) has been widely used for typical elastic-plastic fracture parameter, representing crack-driving force and crack-resistance curve, which are required to assess unstable crack propagation. The one of the main principles of crack assessment is that the definitions of crack-driving force and crack resistance curve should be coincident. However, there exist two kinds of the definitions of CTOD, which are based on 90° and original crack-tip concept, and these have been not unified in practical regions until now. Moreover, it is reported that the deviations of crack-resistance curve can occur in the same specimen and experiment, caused by the different definitions of CTOD. Therefore, CTOD solutions based on each of different definitions of CTOD should be highly required since inaccurate TSC would be assessed when using not the identical definition of that. In the present study, CTOD solutions of pipelines with a circumferential and internal surface flaw are suggested by using two kinds of definitions of CTOD based on 90° and original crack-tip concept. For this purpose, FE analyses were systematically carried out considering various pipe geometries and material properties. And single-edge notched tension (SENT) specimen was used for representing resistance curve of API X70/X65 material. Moreover, the effect of the choice of each CTOD definitions on TSC was investigated through crack-driving force diagram (CDFD) assessment.
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Oda, Kazuo, Mitsuyoshi Nakatani, Tomohiro Tanaka, Masamitsu Abe, Yasuhito Takashima, and Fumiyoshi Minami. "Evaluation of Bending Limit of 9Cr-1Mo-V Steel by Master Curve and Failure Assessment Diagram Method: Evaluation of Base Metal." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84944.

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We investigated the bending and rolling limit of 9Cr-1Mo-V steel plate used in pressure vessels for the purpose of improving its manufacturing efficiency. Hereafter in this report, the bending limit refers to bending by press or by roller. It includes acceptable crack size, temperature, introduced plastic strain and other factors. When fracture toughness tests of 9Cr-1Mo-V steel plate were performed at bending temperature in production, unstable fracture rarely occurred. Since fracture probability during the bending process seems to be low, it was not possible to evaluate aspects of the degree of safety factor for brittle fracture. To estimate the bending limit at high temperature where unstable fracture rarely occurs, a method was proposed for estimating fracture probability using master curve and failure assessment diagram (FAD). In order to verify the proposed method, loading tests simulating the bending process were performed. The bending limits obtained from the loading tests were in good agreement with the values predicted by the proposed method. In this study, guidelines such as required toughness value and bending temperature for preventing brittle fracture during the bending process of 9Cr-1Mo-V steel plate were investigated.
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Tronskar, Jens P., and Vebjørn Andresen. "Avoiding Local Brittle Zones in Offshore Pipeline Girth Welds for Reeling Installation Involving Large Plastic Strain." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11094.

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Pipelines for reeling are designed to tolerate the large plastic strain associated with the reeling installation process based on widely accepted strain based design principles for subsea pipelines as described in Det Norske Veritas (DNV) Offshore Pipeline Code OS-F101: 2012 [1]. Engineering Critical Assessment (ECA) to develop flaw acceptance criteria for automatic ultrasonic testing (AUT) for girth welds subject to large plastic strain shall according to DNV-OS-F101: 2012 [1] and DNV RP-F108 [2] be carried out in accordance with BS 7910 [3], at assessment Level 3B, with amendments and adjustments described in Appendix A of DNV-OS-F101 for strain-based loading. This is a tearing analysis using the material specific failure assessment diagram (FAD), the material stress-strain curve and the fracture resistance J-R curve (or CTOD-R curve) for the HAZ or WM. It is therefore essential that the pipeline girth welds exhibit maximum load behavior and large tearing capacity to enable development of workable and practical flaw acceptance criteria for the girth welds on the stalks. Welds in offshore structural steels are known from the early 80s introduction of low carbon-manganese micro-alloyed steels, to occasionally exhibit low fracture toughness associated with so-called local brittle zones (LBZ) in the HAZ. Similarly, in the 90s LBZs were found in pipeline seam welds welded at high arc energies. Presence of such microstructures may have a dramatic effect on the coarse grained HAZ CTOD fracture toughness properties causing unstable fracture in the CTOD tests and CTOD values below 0.1 mm at test temperatures of 0°C and below. Recently low CTOD critical fracture toughness values due to pop-ins and unstable fracture initiation in the HAZ have been experienced for pipeline girth welds for reeling and investigation confirmed these were caused by LBZs. This paper makes a comparison with the situation experienced earlier for welds in structural steels and pipeline seam welds, to understand the factors influencing the LBZ formation, and to show how such problems can be avoided. To avoid LBZs formation in the girth welds is imperative for reeling installation, where the large plastic strain associated with reeling installation affects every girth weld.
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Carlucci, Antonio, and Kamel Mcirdi. "Limit Plastic Collapse on Remaining Ligament of Flawed Welds for ECA Application." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-28800.

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Engineering Critical Assessments (ECAs) are routinely used to provide defect acceptance criteria for pipelines girth welds. The Failure Assessment Diagram (FAD) concept is the most widely used methodology for elastic-plastic fracture mechanics analysis of structural components and adopted by standards/documents including BS7910 [1], API579-1/ASME FFS-1 [2], R6 [3]. It is defined by two criterion Kr and Lr which describe the interaction between brittle fracture and fully ductile rupture: Kr measures the proximity to brittle fracture whereas Lr reflects the closeness to plastic collapse. The BS7910 FAD level 2B is the most employed for assessment of flaws under mechanical strain lower than 0.4%, the FAD associated is material-specific and it based on single toughness value obtained from CTOD test, the latter-on gives no information about the tearing initiation. The objective of this paper is to propose an approach for determination of the critical fracture toughness (associated to zero-tearing: JΔa=0). This approach is based on the comparison between the load-CMOD curve provided from a fracture toughness test to the one obtained by Finite Element Analysis (FEA). The goals is to propose a conservative guidance on how to identify a remote strain level below which it may be considered guaranteed the integrity of the remaining ligament.
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Rossillon, Fre´de´rique, and Yves Me´zie`re. "Analysis of Fracture Specimen Failure of Inconel 600: Elastic-Plastic Calculations and Thermo-Plastic Energy Fracture Parameter." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-25323.

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The integrity of structures exhibiting flaws in nuclear power plants, and in particular for class 1 components (pipes, vessels, internals), has to be assessed to meet safety criteria. Technical rules along with simplified assessment methods are available in various standards: ASME, RSE-M, RCC-MR, R6 etc…. They rely on conservative hypotheses and parameters (loading, material properties, failure diagram). They are developed using analytical or numerical approaches and are validated with adequate demonstrative experimental testing. In particular, RSE-M and RCC-MR codes include a large set of compendia for the calculation of the fracture parameter J, depending on component and defect geometries, loading and material characteristics. However, it is essential first to consider the type of failure that the structure is likely to undergo and then to apply the proper assessment methods with the criteria required by the safety rules. For structures made of a material with a high strain-hardening behavior combined with a large enough value of ductile tearing resistance, it is not so easy to identify properly the failure mode between ductile failure or plastic collapse. This paper deals with the fracture mechanical test on a specimen made on Inconel 600 up to the ultimate failure of the sample. Due to the high mechanical properties of this material, the determination of ductile fracture initiation and propagation is quite difficult. Nonetheless the tests were carried out on a Center Cracked specimen under Tension (CCT). A numerical analysis of this experiment is provided using Finite Element (FE) calculations. In this case, the small-scale-yielding hypothesis is not verified and a complex load path is observed. The classical fracture mechanics parameter J-integral is not relevant anymore. The use of an energy fracture parameter in thermo-plasticity, called GTP, seems to be a more adequate parameter to describe correctly the effect of the crack growth. Different models are evaluated and a comparison with more classical parameters in a Non-Linear Elastic (NLE) behavior is done.
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Reports on the topic "Diagram of fracture strain"

1

Wierzbicki, Tomasz. Effect of Strain Rate on Fracture Initiation. Fort Belvoir, VA: Defense Technical Information Center, March 2011. http://dx.doi.org/10.21236/ada544809.

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Miller, T. C. Modelling of Plane Strain Interfacial Fracture in Incompressible Materials. Fort Belvoir, VA: Defense Technical Information Center, May 1998. http://dx.doi.org/10.21236/ada409449.

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3

Berger, John R., and James W. Dally. Study of static and dynamic fracture using strain measurements. Gaithersburg, MD: National Institute of Standards and Technology, 1990. http://dx.doi.org/10.6028/nist.ir.3952.

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4

Rudnicki, J. W. Shear strain localization and fracture evolution in rock. Progress report, April 15, 1993--February 15, 1994. Office of Scientific and Technical Information (OSTI), March 1994. http://dx.doi.org/10.2172/10134863.

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Leedy, K., J. F. Stubbins, and D. Krus. Investigation of the influence of grain boundary chemistry, test temperatures, and strain rate on the fracture behavior of ITER copper alloys. Office of Scientific and Technical Information (OSTI), August 1997. http://dx.doi.org/10.2172/543211.

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Haggag, Fahmy M. Nondestructive and Localized Measurements of Stress-Strain Curves and Fracture Toughness of Ferritic Steels at Various Temperatures Using Innovative Stress-Strain Microprobe Technology. Final Report for Period 8/13/1996--06/16/1999. Office of Scientific and Technical Information (OSTI), October 1999. http://dx.doi.org/10.2172/769202.

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7

Holmquist, T. J. Strength and Fracture Characteristics of HY-80, HY-100, and HY-130 Steels Subjected to Various Strains, Strain Rates, Temperatures, and Pressures. Fort Belvoir, VA: Defense Technical Information Center, September 1987. http://dx.doi.org/10.21236/ada233061.

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Morgan, Michael J. 2014 Accomplishments-Tritium aging studies on stainless steel: Fracture toughness properties of forged stainless steels-Effect of hydrogen, forging strain rate, and forging temperature. Office of Scientific and Technical Information (OSTI), February 2015. http://dx.doi.org/10.2172/1170524.

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Sparks, Paul, Jesse Sherburn, William Heard, and Brett Williams. Penetration modeling of ultra‐high performance concrete using multiscale meshfree methods. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41963.

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Terminal ballistics of concrete is of extreme importance to the military and civil communities. Over the past few decades, ultra‐high performance concrete (UHPC) has been developed for various applications in the design of protective structures because UHPC has an enhanced ballistic resistance over conventional strength concrete. Developing predictive numerical models of UHPC subjected to penetration is critical in understanding the material's enhanced performance. This study employs the advanced fundamental concrete (AFC) model, and it runs inside the reproducing kernel particle method (RKPM)‐based code known as the nonlinear meshfree analysis program (NMAP). NMAP is advantageous for modeling impact and penetration problems that exhibit extreme deformation and material fragmentation. A comprehensive experimental study was conducted to characterize the UHPC. The investigation consisted of fracture toughness testing, the utilization of nondestructive microcomputed tomography analysis, and projectile penetration shots on the UHPC targets. To improve the accuracy of the model, a new scaled damage evolution law (SDEL) is employed within the microcrack informed damage model. During the homogenized macroscopic calculation, the corresponding microscopic cell needs to be dimensionally equivalent to the mesh dimension when the partial differential equation becomes ill posed and strain softening ensues. Results of numerical investigations will be compared with results of penetration experiments.
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STUDY ON MICROMECHANICAL FRACTURE MODELS OF STRUCTURAL STEEL AND ITS WELDS. The Hong Kong Institute of Steel Construction, June 2021. http://dx.doi.org/10.18057/ijasc.2021.17.2.2.

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Steel structures have been widely used in constructions due to their advantages of lightweight, high strength, short construction time and high recycling and reuse potential. Fracture failure in steel structures should be prevented to avoid collapse of the whole structures. Micromechanical fracture models can capture the fracture initiation mechanisms and therefore can be used to predict ductile fractures in steel. Twelve smooth round bars were carried out to obtain the material properties and 36 notched round bars were tested to calibrate the parameters of stress modified critical strain (SMCS) model and the void growth model (VGM) for structural steels (Q235B and Q345B) and the corresponding welds. Specimens were extracted from the base metal, the weld metal and the heat affected zone (HAZ) to investigate fracture behaviour in different parts of the welded joint. Scanning electron microscope (SEM) measurements were taken and finite element models were developed to calibrate the models. The test results and calibrated parameters are reported. Moreover, the calibrated models are applied to analyses the fracture behaviour of welded joints and their accuracy are validated. The calibrated and validated models can be used for further numerical fracture analysis in welded steel structures.
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