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Relevant bibliographies by topics / Quasistatic crack growth

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Academic literature on the topic 'Quasistatic crack growth'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Quasistatic crack growth"

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Nifagin, V. A., and M. A. Gundina. "QUASISTATIC STATIONARY GROWTH OF ELASTOPLASTICAL CRACK." Vestnik of Samara University. Natural Science Series 20, no. 7 (May 30, 2017): 85–95. http://dx.doi.org/10.18287/2541-7525-2014-20-7-85-95.

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The boundary value problem with relations to the theory of ﬂow with non- linear hardening in derivatives stress and strain tensors in the parameter loading is formulated to estimate local mechanical properties in the vicinity of crack tip of mode of loading for plane strain of elastic-plastic material at the stage of quasi-static growth. Complete solutions are obtained by the method of asymp- totic decompositions. The redistribution of stress and strain ﬁelds in the plastic region at quasi-static growing crack for the intermediate structure is investigat- ed. The form of plastic zones was found in the evolution of fracture process of material. We also obtained direct estimates of errors and diameters of con- vergence when dropping residues of series.

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Ronsin, O., and B. Perrin. "Dynamics of quasistatic directional crack growth." Physical Review E 58, no. 6 (December 1, 1998): 7878–86. http://dx.doi.org/10.1103/physreve.58.7878.

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Maso, Gianni Dal, Gilles A. Francfort, and Rodica Toader. "Quasistatic Crack Growth in Nonlinear Elasticity." Archive for Rational Mechanics and Analysis 176, no. 2 (February 21, 2005): 165–225. http://dx.doi.org/10.1007/s00205-004-0351-4.

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Friedrich, Manuel, and Francesco Solombrino. "Quasistatic crack growth in 2d-linearized elasticity." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35, no. 1 (January 2018): 27–64. http://dx.doi.org/10.1016/j.anihpc.2017.03.002.

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Wang, Fei, Yu’e Ma, Yanning Guo, and Wei Huang. "Studies on Quasi-Static and Fatigue Crack Propagation Behaviours in Friction Stir Welded Joints Using Peridynamic Theory." Advances in Materials Science and Engineering 2019 (October 31, 2019): 1–16. http://dx.doi.org/10.1155/2019/5105612.

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The friction stir welding (FSW) technology has been widely applied in aircraft structures. The heterogeneity of mechanical properties in weld and the hole in structure will lead the crack to turn. Peridynamics (PD) has inherent advantages in calculating crack turning. The peridynamic theory is applied to study the crack turning behaviour of FSW joints in this work. The compact tension (CT) samples with and without a hole are designed. The crack propagation testing under quasistatic and fatigue loads are performed. The peridynamic microplastic model is used and a three-stage fatigue calculation model is developed to simulate the quasistatic fracture and the fatigue crack growth. The results predicted by the peridynamic models are compared with the experimental ones. The effects of welding direction on quasistatic and fatigue crack propagation behaviours are investigated and the effect of hole position on crack path geometry is also studied. It is shown that the crack turning in FSWed CT samples can be captured by the peridynamic microplastic and the three-stage fatigue calculation models. The peridynamic crack growth rates agree with the experimental results. For CT specimen without a hole, the crack turns into the weld zone where the material is softer. The effect of welding direction on crack growth rates is not obvious. For CT sample with a hole, the crack propagation direction has been mainly controlled by the hole location and the welding direction has a slight effect on crack path.

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Drugan, W. J. "On the Asymptotic Continuum Analysis of Quasistatic Elastic-Plastic Crack Growth and Related Problems." Journal of Applied Mechanics 52, no. 3 (September 1, 1985): 601–5. http://dx.doi.org/10.1115/1.3169107.

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The present work provides rigorous substantiation of certain crucial asymptotic expressions which constitute the basis of a number of previous near-tip analyses of quasistatic elastic-plastic crack growth. This is accomplished as part of an investigation of the general features of two-dimensional near-tip continuum fields for quasistatic elastic-plastic crack growth, under general unsteady conditions, for a broad class of constitutive behavior and crack loading conditions. The approach employed and results obtained are also applicable to a number of geometrically similar problems, such as the plane strain analysis of the continuum fields near the leading and trailing edges of a quasistatically moving distributed surface load.

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Lazzaroni, Giuliano. "Quasistatic crack growth in finite elasticity with Lipschitz data." Annali di Matematica Pura ed Applicata 190, no. 1 (April 21, 2010): 165–94. http://dx.doi.org/10.1007/s10231-010-0145-2.

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Dal Maso, Gianni, and Giuliano Lazzaroni. "Quasistatic crack growth in finite elasticity with non-interpenetration." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 27, no. 1 (January 2010): 257–90. http://dx.doi.org/10.1016/j.anihpc.2009.09.006.

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Kazarinov, Nikita, Vladimir Bratov, and Yuri V. Petrov. "Simulation of Dynamic Crack Propagation under Quasistatic Loading." Applied Mechanics and Materials 532 (February 2014): 337–41. http://dx.doi.org/10.4028/www.scientific.net/amm.532.337.

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Simulation of dynamic crack growth under quasistatic loading was performed using finite element method with embedded incubation time fracture criterion [. Experimental data, used for comparison was taken from [. ANSYS finite element software package was used in order to receive FEM solutions. The fracture criterion was implemented as an external procedure written in C++. The developed model is not using and trimming parameters. Only initial experimental conditions and material properties measured in separate experiments are used. Received dependencies for crack velocities as a function of time closely follow those observed in experiments by J.Finberg. Simulation results provide a possibility to conclude that the incubation time approach is an effective method to predict fracture initiation as well as crack propagation at various loading rates. Dependencies of an instant crack velocity on the current level of stress intensity factor received in this work for quasistatic loads and in [ for high-rate loads is discussed and compared to those experimentally observed by K. Ravi-Chandar and W.G. Knauss [ and J. Finberg [.

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GIACOMINI, ALESSANDRO, and MARCELLO PONSIGLIONE. "DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY." Mathematical Models and Methods in Applied Sciences 16, no. 01 (January 2006): 77–118. http://dx.doi.org/10.1142/s0218202506001066.

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We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed by Dal Maso, Francfort and Toader,14 which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is strictly convex, we also prove a convergence result for the deformations.

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Dissertations / Theses on the topic "Quasistatic crack growth"

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Lazzaroni, Giuliano. "Some results in the variational theory of crack growth." Doctoral thesis, SISSA, 2009. http://hdl.handle.net/20.500.11767/4621.

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Giacomini, Alessandro. "Asymptotic problems and approximation results in variational models of quasistatic crack growth." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4203.

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Book chapters on the topic "Quasistatic crack growth"

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Kanaun, Sergey. "Quasistatic crack growth in heterogeneous media." In Heterogeneous Media, 335–85. Elsevier, 2021. http://dx.doi.org/10.1016/b978-0-12-819880-3.00015-9.

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Conference papers on the topic "Quasistatic crack growth"

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Bhattacharya, Debdeep, Patrick Diehl, and Robert P. Lipton. "Peridynamics for Quasistatic Fracture Modeling." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-70793.

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Abstract Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the perspective of mechanics fracture should appear as an emergent phenomena generated by a continuum field theory eliminating the need for a supplemental kinetic relation describing crack growth. We develop a new fast method for modeling quasi-static fracture using peridynamics. We apply fixed point theory and model stable crack evolution for hard and soft loading. For soft loading we recover unstable fracture. For hard loading we recover stable crack growth. We show existence of quasistatic fracture solutions in the neighborhood of stable critical points for appropriately defined energies. The numerical method uses an analytic stiffness matrix for fast numerical implementation. A rigorous mathematical analysis shows that the method converges for load paths associated with soft and hard loading. For soft loading the crack becomes unstable shortly after the stress at the tip of the pre-crack reaches the material strength.

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Datta, Siddhant, Masoud Yekani Fard, and Aditi Chattopadhyay. "Fatigue Crack Growth Behavior of Hybrid Glass Fiber Laminates With Embedded Functionalized Carbon Nanotube Membranes." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66433.

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This study focusses on investigating the fatigue crack growth behavior in glass fiber laminates embedded with carbon nanotube membranes consisting of different functional groups. In addition to fatigue behavior, quasistatic tensile properties were analyzed to gain better insight into the mechanical properties of these hybrid glass fiber laminates. It was found that tensile strength of the laminates increased by embedding the carbon nanotube membranes but elastic moduli showed different trends with respect to the type of functionalization that was done on the embedded carbon nanotube membranes. Fatigue life was seen to considerably increase in the case of amine functionalized and pristine carbon nanotube membrane embedded GFRPs.

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Makhecha, Dhaval P., Rakesh K. Kapania, Eric R. Johnson, David A. Dillard, George C. Jacob, and J. Michael Starbuck. "Rate-Dependent Cohesive Zone Modeling of Unstable Crack Growth in an Epoxy Adhesive." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81317.

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This paper presents the development and numerical implementation of a rate dependent fracture model of an epoxy adhesive. Previous mode I fracture tests conducted under quasistatic, displacement controlled loading of an aluminum double cantilever beam (DCB) bonded with the epoxy exhibited unstable crack growth in the adhesive. Results from mode I fracture tests of compact tension specimens made from bulk adhesive at increasing cross head opening speeds are reported in this paper. The compact tension tests results showed a decreasing critical strain energy release rate with increasing cross head speed, with the critical energy release rate at 1 m/s cross head speed equal to about 20% of its quasi-static value. Two rate dependent cohesive zone models are formulated based on the compact tension test data. A cohesive de-cohesive relationship was postulated between the tractions acting across the crack faces and the opening displacement and opening velocity. These rate dependent cohesive zone models are implemented in a interface finite element to model discrete crack growth in the adhesive. The reaction force history from simulation of the DCB test is in good agreement with the test data using only the rate dependent interface element to model the adhesive.

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Hulton, Andrew W., and Paul V. Cavallaro. "Comparing Computational and Experimental Failure of Composites Using XFEM." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65232.

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Fiber reinforced polymer (FRP) composites have been used as a substitute for more conventional materials in a wide range of applications, including in the aerospace, defense, and auto industries. Due to the widespread availability of measurement techniques, experimental testing of composite materials has outpaced the computational modeling ability of such complicated materials. With advancements in computational physics-based modeling (PBM) such as the finite element method (FEM), strides can be made to reduce the efforts required in building and testing future composite structures. In this work, the extended finite element method (XFEM) is implemented to model fracture of composite materials under quasistatic loading. XFEM is applied to a three-dimensional (3D) computational model of a carbon fiber/epoxy composite cylinder, in half symmetry, that is subjected to lateral compression between two flat plates. Independent material properties are instituted for each composite layer, depending on individual layer orientation. The crack path produced by the analytical results is compared to experimental testing of lateral compression of a composite cylinder. Fracture site initiation and growth path are consistent in both the experimental and computational results.

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Perelmuter, M,. "CRITERION OF INTERFACIAL BRIDGED CRACKS INITIATION AND QUASISTATIC GROWTH." In International Workshop "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems" ; Mezhdunarodnaja konferencija "Perspektivnye materialy s ierarhicheskoj strukturoj dlja novyh tehnologij i nadezhnyh konstrukcij" ; VIII Vserossijskaja nauchno-prakticheskaja konferencija s mezhdunarodnym uchastiem, posvjashhennaja 50-letiju osnovanija Instituta himii nefti "Dobycha, podgotovka, transport nefti i gaza". Tomsk State University, 2019. http://dx.doi.org/10.17223/9785946218412/89.

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