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Journal articles on the topic 'Quasi static crack growth'

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Author: Grafiati

Published: 14 March 2023

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1

Pavelko, Vitalijs. "On the Crack Quasi-Static Growth." Key Engineering Materials 827 (December 2019): 312–17. http://dx.doi.org/10.4028/www.scientific.net/kem.827.312.

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The theoretical model of quasi-static crack growth in the elastic-plastic material under load variation in a wide range. Small-scale yielding is principal assumption and main restriction of proposed theory. The model of crack growth provides for continues and interrelated both the crack propagation and plastic deformation development. The nonlinear first-order differential equation describes the quasi-static process of crack growth. In dimensionless form this equation invariant in respect to geometrical configuration and material. The critical size of the plastic zone is proposed as the characteristics of material resistance which is directly connected with the fracture toughness, but more convenient in practical applications of invariant equation. The demonstration of solution is performed for the double cantilever beam that widely used as the standard (DCB) sample for measurement of the mode-I interlaminar fracture toughness. he short analysis of some properties of solution of the invariant equation and its application is done.

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2

Csomós, Zilia, and János Lukács. "Fatigue Crack Growth Tests on Glass Fibre Reinforced Polymer Matrix Composite." Materials Science Forum 473-474 (January 2005): 189–94. http://dx.doi.org/10.4028/www.scientific.net/msf.473-474.189.

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E-glass fibre reinforced polyester matrix composite was investigated, which was made by pullwinding process. Round three point bending (RTPB) specimens were tested under quasi-static and mode I cyclic loading conditions. Load vs. displacement (F-f), load vs. crack opening displacement (F-v) and crack opening displacement range vs. number of cycles (ΔCOD-N) curves were registered and analysed. Interfacial cracks were caused the final longitudinal fracture of the specimens under quasi-static and cyclic loading conditions.

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3

Almi, Stefano, Gianni Dal Maso, and Rodica Toader. "Quasi-static crack growth in hydraulic fracture." Nonlinear Analysis: Theory, Methods & Applications 109 (November 2014): 301–18. http://dx.doi.org/10.1016/j.na.2014.07.009.

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4

Goleniewski, G. "Quasi-static crack growth in viscoelastic materials." Journal of the Mechanics and Physics of Solids 38, no. 3 (January 1990): 361–78. http://dx.doi.org/10.1016/0022-5096(90)90004-n.

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5

Alshoaibi, Abdulnaser M., and Yahya Ali Fageehi. "Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method." Metals 11, no. 1 (January 6, 2021): 98. http://dx.doi.org/10.3390/met11010098.

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The finite element method (FEM) is a widely used technique in research, including but not restricted to the growth of cracks in engineering applications. However, failure to use fine meshes poses problems in modeling the singular stress field around the crack tip in the singular element region. This work aims at using the original source code program by Visual FORTRAN language to predict the crack propagation and fatigue lifetime using the adaptive dens mesh finite element method. This developed program involves the adaptive mesh generator according to the advancing front method as well as both the pre-processing and post-processing for the crack growth simulation under linear elastic fracture mechanics theory. The stress state at a crack tip is characterized by the stress intensity factor associated with the rate of crack growth. The quarter-point singular elements are constructed around the crack tip to accurately represent the singularity of this region. Under linear elastic fracture mechanics (LEFM) with an assumption in various configurations, the Paris law model was employed to evaluate mixed-mode fatigue life for two specimens under constant amplitude loading. The framework includes a progressive analysis of the stress intensity factors (SIFs), the direction of crack growth, and the estimation of fatigue life. The results of the analysis are consistent with other experimental and numerical studies in the literature for the prediction of the fatigue crack growth trajectories as well as the calculation of stress intensity factors.

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6

Schneider, Jens, and Jonas Hilcken. "Cyclical fatigue of annealed and of thermally tempered soda-lime-silica glass." MATEC Web of Conferences 165 (2018): 18003. http://dx.doi.org/10.1051/matecconf/201816518003.

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We present experimental and theoretical investigations on the cyclic fatigue of annealed and of thermally tempered soda-lime-silica glass. Static fatigue due to subcritical crack growth at micro cracks significantly decreases the macroscopic strength of soda-lime-silica glass and causes a time-dependent strength reduction. A subsequent thermal tempering process is typically used to induce residual surface compression stresses, which inhibit the crack growth of surface cracks, and corresponding bulk tension stresses. From the experimental results we show that the existing models for static fatigue used in linear elastic fracture mechanics can be used for the lifetime prediction of cyclically loaded annealed glass and thermally tempered glass, although the (static) crack growth exponent slightly decreases in cyclic loading. The equivalent duration of tensile stress at the crack tip of a micro crack governs the crack growths and not the number of cycles. The threshold for subcritical crack growth determined from the cyclic experiments was found to be in good agreement with data from literature. But unlike in strength tests with singular and quasi-static re-loading, it could be found that periodic loading with load free intervals does not lead to a strength increase by crack healing effects. Based on the results, an engineering design concept for cyclically loaded glass is presented.

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7

Judt, P., and Andreas Ricoeur. "Quasi-Static Simulation of Crack Growth in Elastic Materials Considering Internal Boundaries and Interfaces." Key Engineering Materials 525-526 (November 2012): 181–84. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.181.

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This work presents numerical methods used for predicting crack paths in technicalstructures based on the theory of linear elastic fracture mechanics. The FE-method is usedin combination with an efficient remeshing algorithm to simulate crack growth. A post pro-cessor providing loading parameters such as the J-integral and stress intensity factors (SIF) ispresented. Path-independent contour integrals are used to avoid special requirements concern-ing crack tip meshing and to enable efficient calculations for domains including interfaces andinternal boundaries. In particular, the interaction of cracks and internal boundaries and inter-faces is investigated. The simulation combines crack propagation within elastic bodies and atbi-material interfaces. The latter is based on a cohesive zone model. The presented numericalresults of crack paths are verified by experiments.

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8

Almi, Stefano. "Quasi-static hydraulic crack growth driven by Darcy’s law." Advances in Calculus of Variations 11, no. 2 (April 1, 2018): 161–91. http://dx.doi.org/10.1515/acv-2016-0029.

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AbstractIn the framework of rate independent processes, we present a variational model of quasi-static crack growth in hydraulic fracture. We first introduce the energy functional and study the equilibrium conditions of an unbounded linearly elastic body subject to a remote strain {\epsilon\in\mathbb{R}} and with a sufficiently regular crack Γ filled by a volume V of incompressible fluid. In particular, we are able to find the pressure p of the fluid inside the crack as a function of Γ, V, and ϵ. Then we study the problem of quasi-static evolution for our model, imposing that the fluid volume V and the fluid pressure p are related by Darcy’s law. We show the existence of such an evolution, and we prove that it satisfies a weak notion of the so-called Griffith’s criterion.

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9

Kwon, Young W., and Joshua H. Gordis. "Frequency Domain Structural Synthesis Applied to Quasi-Static Crack Growth Modeling." Shock and Vibration 16, no. 6 (2009): 637–46. http://dx.doi.org/10.1155/2009/978437.

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Quasi-static crack growth in a composite beam was modeled using the structural synthesis technique along with a finite element model. The considered crack was an interface crack in the shear mode (i.e. mode II), which occurs frequently in the scarf joint of composite structures. The analysis model was a composite beam with an edge crack at the midplane of the beam subjected to a three-point bending load. In the finite element model, beam finite elements with translational degrees of freedom only were used to model the crack conveniently. Then, frequency domain structural synthesis (substructure coupling) was applied to reduce the computational time associated with a repeated finite element calculation with crack growth. The quasi-static interface crack growth in a composite beam was predicted using the developed computational technique, and its result was compared to experimental data. The computational and experimental results agree well. In addition, the substructure-based synthesis technique showed the significantly improved computational efficiency when compared to the conventional full analysis.

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10

Watanabe, Masaaki. "Criteria of Dynamic Crack Initiation." Journal of Applied Mechanics 61, no. 1 (March 1, 1994): 221–23. http://dx.doi.org/10.1115/1.2901410.

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A criteria of dynamic crack initiation is proposed as Klcdyn=Klcσcdyn.σctq.s.tαS/2 for t≤tq.s., where Klcdyn. is the dynamic critical stress intensity factor for initiation and Klc, the static fracture toughness. σc and σcdyn. are critical stresses for a growth of microcracks generated at the tip of a crack, in quasi-static and dynamic loading conditions, respectively. tq.s. is the characteristic time of quasi-static growth of a crack and t is a loading time. αs is a positive number. This criteria is compared with various different experiments and found to be in qualitative agreement with them.

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11

Li, Jing Jing, Ya Fang Guo, Yue Sheng Wang, and Chang Hai Tian. "Experimental Research on Crack Propagation in U71Mn and U75V Rail Steels." Key Engineering Materials 324-325 (November 2006): 807–10. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.807.

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In this paper, the continuous in-situ observations of the fatigue crack growth in U71Mn and U75V rail steel are made by using the scanning electronic microscope (SEM). The microstructure patterns of cracks under the mode I fatigue loads and quasi-static loads are presented. The results indicate that the short fatigue crack growth in rail steel is a quasi-cleavage fracture. The ductility and the performance of fatigue resistance of U71Mn rail steel are better than those of U75V rail steel.

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12

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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13

Budarapu, Pattabhi R., Robert Gracie, Stéphane P. A. Bordas, and Timon Rabczuk. "An adaptive multiscale method for quasi-static crack growth." Computational Mechanics 53, no. 6 (December 3, 2013): 1129–48. http://dx.doi.org/10.1007/s00466-013-0952-6.

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14

Maso, Gianni Dal, and Chiara Zanini. "Quasi-static crack growth for a cohesive zone model with prescribed crack path." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 137, no. 2 (2007): 253–79. http://dx.doi.org/10.1017/s030821050500079x.

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In this paper we study the quasi-static crack growth for a cohesive zone model. We assume that the crack path is prescribed and we study the time evolution of the crack in the framework of the variational theory of rate-independent processes.

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15

Drugan, W. J. "Near-Tip Fields for Quasi-Static Crack Growth Along a Ductile-Brittle Interface." Journal of Applied Mechanics 58, no. 1 (March 1, 1991): 111–19. http://dx.doi.org/10.1115/1.2897136.

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As an analytical first study of the mechanics of ductile-brittle interfacial crack growth, I derive the stress and deformation fields near the tip of a crack that is growing quasi-statically along an interface joining material phases idealized as being rigid on one side and homogeneous, isotropic, elastic-ideally plastic on the other. Both the cases of antiplane strain and plane strain are treated, since it is some combination of these that pertains near an interface crack under general three-dimensional conditions. In the antiplane strain case, a family of solutions for the growing crack fields is found covering all admissible crack line shear stress ratios except for the case when the shearing is parallel to the crack; the Mode III homogeneous material solution is shown to be a limiting member of this family. Two distinct solution families are shown to exist for the growing crack fields in the plane strain case. One of these contains the Mode I homogeneous material solution and is characterized by large crack line stress triaxialities (up to 39 percent higher than that in homogeneous material solutions), while the other family has a limiting member that closely resembles (but is not identical to) the Mode II homogeneous material solution and is characterized by small and even negative crack line stress triaxialities. These solutions, which appear to constitute all possible that involve traction-free crack faces, are shown to cover large portions, but not the entire admissible range, of crack line near-tip shear/normal stress ratios (“mixities“).

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16

Su, Zheng Ming, Ru Yi He, Pai Chen Lin, Jong Ning Aoh, Yung Chuan Chiou, Kent Dong, Tony Tang, and Bob Huang. "Fatigue Behavior of Swept Spot Friction Welds in Lap-Shear Specimens of Alclad 2024-T3 Aluminum Sheets." Advanced Materials Research 579 (October 2012): 387–97. http://dx.doi.org/10.4028/www.scientific.net/amr.579.387.

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Failure modes of swept spot friction welds in lap-shear specimens of alclad 2024-T3 aluminum sheets are first investigated based on experimental observations. Optical and scanning electron micrographs of the welds before and after failure under quasi-static and cyclic loading conditions are examined. Experimental results show that the failure modes of the welds under quasi-static and cyclic loading conditions are quite different. Failure modes of swept spot friction welds depend considerably on the weld geometry, microstructure, and load amplitude. A fatigue crack growth model based on the paths of the dominant kinked fatigue cracks is developed to estimate the fatigue lives of the spot friction welds. The global and local stress intensity factors for finite kinked cracks, the stress intensity factors for finite transverse cracks, and the Paris law for fatigue crack propagation are used. The fatigue life estimations agree well with the experimental results.

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17

Pavelko, Igor, and Vitalijs Pavelko. "The crack quasi-static growth and analysis of interlaminar crack resistance of layered composite." MATEC Web of Conferences 349 (2021): 01005. http://dx.doi.org/10.1051/matecconf/202134901005.

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Using the model of quasi-static crack growth and test result of the double cantilever beam (DCB) sample of layred carbon/epoxy composite, the general regularities of the interlaminar crack resistance of mode 1 were studied. The main attention was focused on the variability of crack resistance associated, on the one hand, with the continuity of the fracture process, and, on the other hand, with the non-homogeneity of the material structure, which causes local random deviations from the average characteristics of the material.The dissipation energy rate (total crack resistance) and crack resistance function (R-curve) were extracted from test results and their properties analyzed.

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18

Pamnani, G., S. Bhattacharya, and S. Sanyal. "Analysis of Semipermeable Crack Growth in Piezoelectric Materials Using Extended Finite Element Method." International Journal of Applied Mechanics 09, no. 07 (October 2017): 1750106. http://dx.doi.org/10.1142/s175882511750106x.

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Piezoelectric materials possess special characteristics of electromechanical coupling behavior and thus have found numerous applications such as transducers, sensors, actuators. Fracture of piezoelectric materials has drawn substantial attention of the research community and is being widely investigated for predicting their failure. Most of the research on piezoelectric materials is based on impermeable crack conditions. In the present study semi-permeable crack boundary conditions has been analyzed using the extended finite element method (XFEM). Combined Mechanical and Electrical loading with quasi-static crack growth has been considered on a pre-cracked rectangular plate with crack at its edge and center. Stress intensity factors have been evaluated by interaction integral approach using the asymptotic crack tip fields. Effect of presence of minor cracks and holes have been analyzed on the intensity factors of semi-permeable major crack.

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19

Sisodia, SM, DJ Bull, AR George, EK Gamstedt, MN Mavrogordato, DT Fullwood, and SM Spearing. "The effects of voids in quasi-static indentation of resin-infused reinforced polymers." Journal of Composite Materials 53, no. 28-30 (June 25, 2019): 4399–410. http://dx.doi.org/10.1177/0021998319858024.

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The focus of this study is the influence of voids on the damage behaviour in quasi-static loading of resin-infused carbon fibre-reinforced polymers. Experimental results are presented for quasi-static loading in combination with high-resolution tomographic imaging and statistical analysis (homology of pores or voids and induced cracks). Three distinct mechanisms were observed to control delamination growth in the presence of sharp and blunt voids. Delamination cracks interact with the supporting yarns, especially in combination with air pockets trapped in the resin in the form of long, sharp voids. This resulted in crack growth that coalesces with delamination cracks from neighbouring yarn-voids during increased out-of-plane load–displacement, with almost no presence of intralaminar transverse cracks. This highlights the benefits and drawbacks of the supporting yarn during out-of-plane loading.

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20

Michel, B., Thomas Helfer, I. Ramière, and C. Esnoul. "3D Continuum Damage Approach for Simulation of Crack Initiation and Growth in Ceramic Materials." Key Engineering Materials 713 (September 2016): 155–58. http://dx.doi.org/10.4028/www.scientific.net/kem.713.155.

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This paper focuses on the numerical simulation of crack initiation and growth in ceramic materials. This work is devoted to nuclear fuel modelling under irradiation and more precisely to fuel pellet fragmentation assessment at macroscopic and microscopic scales. Simulation tools are developed in the framework of a cooperative program between the CEA, EDF and AREVA devoted to a unified fuel performance software environment called PLEIADES. A smeared crack model is proposed to have a continuous description of crack nucleation and growth at macroscopic scale. This unified description is based on crack extension process from the microscopic scale up to the macroscopic scale. In order to deal with unstable crack extension a specific algorithm is proposed to solve the quasi static nonlinear mechanical problem. A 3D application is presented to illustrate performances and robustness of the smeared crack approach to simulate crack extension in nuclear fuel ceramics. In this application with an internal pressure loading a new methodology is proposed in order to avoid convergence problem due to the indetermination of the quasi static formulation of a softening material equilibrium under Neumann boundary condition.

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21

Pandey, Vinod K., and Badri P. Patel. "Study of quasi-static crack growth in aluminum/alumina functionally graded material using crack gauge." Theoretical and Applied Fracture Mechanics 110 (December 2020): 102777. http://dx.doi.org/10.1016/j.tafmec.2020.102777.

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22

DAL MASO, G., and R. TOADER. "A MODEL FOR THE QUASI-STATIC GROWTH OF BRITTLE FRACTURES BASED ON LOCAL MINIMIZATION." Mathematical Models and Methods in Applied Sciences 12, no. 12 (December 2002): 1773–99. http://dx.doi.org/10.1142/s0218202502002331.

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We study a variant of the variational model for the quasi-static growth of brittle fractures proposed by Francfort and Marigo.9 The main feature of our model is that, in the discrete-time formulation, in each step we do not consider absolute minimizers of the energy, but, in a sense, we look for local minimizers which are sufficiently close to the approximate solution obtained in the previous step. This is done by introducing in the variational problem an additional term which penalizes the L2-distance between the approximate solutions at two consecutive times. We study the continuous-time version of this model, obtained by passing to the limit as the time step tends to zero, and show that it satisfies (for almost every time) some minimality conditions which are slightly different from those considered in Refs. 9 and 8, but are still enough to prove (under suitable regularity assumptions on the crack path) that the classical Griffith's criterion holds at the crack tips. We also prove that, if no initial crack is present and if the data of the problem are sufficiently smooth, no crack will develop in this model, provided the penalization term is large enough.

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23

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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24

Englund, Jonas. "A higher order scheme for two-dimensional quasi-static crack growth simulations." Computer Methods in Applied Mechanics and Engineering 196, no. 21-24 (April 2007): 2527–38. http://dx.doi.org/10.1016/j.cma.2007.01.007.

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25

Nourbakhshnia, N., and G. R. Liu. "A quasi-static crack growth simulation based on the singular ES-FEM." International Journal for Numerical Methods in Engineering 88, no. 5 (March 10, 2011): 473–92. http://dx.doi.org/10.1002/nme.3186.

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26

Sharma, S. M., A. K. Srivastava, and N. Aravas. "Higher order crack tip asymptotic solutions for quasi-static steady crack growth in nonlinear viscous solids." Journal of the Mechanics and Physics of Solids 42, no. 2 (February 1994): 159–79. http://dx.doi.org/10.1016/0022-5096(94)90007-8.

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27

Yasin Said, Mohamed, and Jianjun Chen. "Study on Defect Evolution of Steel Strip under High-speed Cold Rolling." Journal of Physics: Conference Series 2430, no. 1 (February 1, 2023): 012023. http://dx.doi.org/10.1088/1742-6596/2430/1/012023.

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Abstract In this paper the strain rate effect of the material was quantitatively tested by INSTRON tensile testing machine and Zwick/Roell HTM5020 high-speed tensile testing machine. The dimple size of the fracture surface of the tensile specimen was determined and analyzed by using the scanning electron microscope. Based on the Cowper-Symonds constitutive model, the parameters in the dynamic constitutive model and the true stress-strain curve under quasi-static condition were obtained by combining the results of quasi-static and dynamic tensile tests and the finite element numerical analyses. Considering the strain rate effect of the material the effects of cold rolling speed on the evolution of different types of defects were analyzed by the ANSYS/LS-DYNA dynamics code. The results show that with the increasing of crack length and decreasing of crack width, the critical rolling speed decreases. But if the crack length is less than 5 mm and the aspect ratio of crack length to crack width is larger than 5, the critical rolling speed of crack growth can be much large.

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28

Ungsuwarungsri, T., and W. G. Knauss. "A Nonlinear Analysis of an Equilibrium Craze: Part II—Simulations of Craze and Crack Growth." Journal of Applied Mechanics 55, no. 1 (March 1, 1988): 52–58. http://dx.doi.org/10.1115/1.3173660.

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In this study we investigate the effects of nonlinear fibril behavior on the mechanics of craze and crack growth. The effect of strain-softening cohesive material on crack stability is of particular interest and is examined via a craze and crack model developed in the first part of this work where the formulation and solution of the problem are discussed.1 In this second part, quasi-static growth of a craze with a central crack is analyzed for different nonlinear force-displacement (p-v) relations for the craze fibrils. A “critical crack tip opening displacement” (CTOD), or more precisely, “critical fibril extension” is employed as the criterion for fracture. The p-v relation is further assumed to be invariant with respect to the craze and crack lengths. The results are compared with the Dugdale model; the craze zone size and the energy dissipation rate approach asymptotic values in the limit of long cracks. The problem of craze growth from a precut crack under increasing far-field loading is then studied. In the case where the p-v relation is monotonically softening, the crack can start to grow in an unstable manner before the crack tip opening displacement reaches its critical value.

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Pastor, J. Y., J. LLorca, J. Planas, and M. Elices. "Stable Crack Growth in Ceramics at Ambient and Elevated Temperatures." Journal of Engineering Materials and Technology 115, no. 3 (July 1, 1993): 281–85. http://dx.doi.org/10.1115/1.2904219.

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Quasi-static, stable crack propagation tests in ceramics are presented. The tests are performed using a recently developed technique in which the crack mouth opening displacement (CMOD) is continuously monitored during the test by means of a laser extensometer, and this signal is employed to control a servo-hydraulic testing machine. The advantages of such tests to characterize the fracture behavior of ceramics at high temperature are described, and the technique is used to study the fracture behavior of an ytria-partially stabilized zirconia ceramic at ambient and elevated temperatures.

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30

Giacomini, Alessandro. "Size Effects on Quasi-Static Growth of Cracks." SIAM Journal on Mathematical Analysis 36, no. 6 (January 2005): 1887–928. http://dx.doi.org/10.1137/s0036141004439362.

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31

OKINAKA, Tomoo, Muneo HORI, and Kenji OGUNI. "EXPERIMENTAL AND NUMERICAL STUDIES ON THE CRACK GROWTH UNDER THE QUASI-STATIC LOADING." Doboku Gakkai Ronbunshuu A 65, no. 2 (2009): 321–34. http://dx.doi.org/10.2208/jsceja.65.321.

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32

OKINAKA, Tomoo. "Experimental and Numerical Study on Unstable Crack Growth under Quasi-Static Loading Condition." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 75, no. 757 (2009): 1193–201. http://dx.doi.org/10.1299/kikaia.75.1193.

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33

Gao, Y. C., and G. Rousselier. "Near tip quasi-static crack growth behavior in strain hardening and softening material." Theoretical and Applied Fracture Mechanics 20, no. 3 (July 1994): 149–55. http://dx.doi.org/10.1016/0167-8442(94)90010-8.

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34

Jin, Z. H., G. H. Paulino, and R. H. Dodds,. "Finite Element Investigation of Quasi-Static Crack Growth in Functionally Graded Materials Using a Novel Cohesive Zone Fracture Model." Journal of Applied Mechanics 69, no. 3 (May 1, 2002): 370–79. http://dx.doi.org/10.1115/1.1467092.

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This work studies mode I crack growth in ceramic/metal functionally graded materials (FGMs) using three-dimensional interface-cohesive elements based upon a new phenomenological cohesive fracture model. The local separation energies and peak tractions for the metal and ceramic constituents govern the cohesive fracture process. The model formulation introduces two cohesive gradation parameters to control the transition of fracture behavior between the constituents. Numerical values of volume fractions for the constituents specified at nodes of the finite element model set the spatial gradation of material properties with standard isoparametric interpolations inside interface elements and background solid elements to define pointwise material property values. The paper describes applications of the cohesive fracture model and computational scheme to analyze crack growth in compact tension, C(T), and single-edge notch bend, SE(B), specimens with material properties characteristic of a TiB/Ti FGM. Young’s modulus and Poisson’s ratio of the background solid material are determined using a self-consistent method (the background material remains linear elastic). The numerical studies demonstrate that the load to cause crack extension in the FGM compares to that for the metal and that crack growth response varies strongly with values of the cohesive gradation parameter for the metal. These results suggest the potential to calibrate the value of this parameter by matching the predicted and measured crack growth response in standard fracture mechanics specimens.

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Chow, C. L., and K. Y. Sze. "Effect of Elevated Temperatures on Characterization of Rubber Fracture." Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science 203, no. 3 (May 1989): 201–7. http://dx.doi.org/10.1243/pime_proc_1989_203_104_02.

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The recent emphasis on improving tyre structure integrity against premature failures has led to an increased effort to study fracture behaviour of different carbon black reinforced tyre compounds. Due to the general hysteretic nature of tyre materials, the overall working temperature of a tyre is elevated under service conditions. Relative merits in the characterization of crack initiation in a typical tyre compound using the conventional quasi-static energy and J-integral approaches were first examined. The quasi-static energy method has been applied to evaluate the fracture toughness of materials exhibiting either linear or non-linear elastic behaviour within the confines of the linear elastic energetic approach. Based on the ease of analysis and ability to make multiple measurements on a single specimen, the quasi-static energy approach is chosen to measure the fracture toughness of the tyre material at temperatures of 23, 37, 52, 62 and 73°C. The fracture toughness measured for the tyre material has been observed to be inversely proportional to the temperature elevation. The observation agrees with earlier investigations that the crack growth rate of rubbers under fatigue loading decreased with an increase in temperature in the test materials.

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36

YE. TELITCHEV, IGOR, and OLEG VINOGRADOV. "A METHOD FOR QUASI-STATIC ANALYSIS OF TOPOLOGICALLY VARIABLE LATTICE STRUCTURES." International Journal of Computational Methods 03, no. 01 (March 2006): 71–81. http://dx.doi.org/10.1142/s0219876206000813.

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The proposed time-independent quasi-static approach for simulations of lattice structures with imperfections is based on integration of the Inverse Broyden's Method suitable for finding the equilibrium state for a large system of atoms interacting through strongly nonlinear potentials and the Recursive Inverse Matrix Algorithm (RIMA) capable of updating the inverse matrix when topological changes (broken or new bonds between the atoms) take place. In this approach, the crystal structure is treated as a truss system while the forces between the atoms situated at the nodes are defined by the inter-atomic potentials. Since both the Broyden's and the RIMA algorithms deal with the inverse matrices of the structure their coupling makes the procedure computationally efficient. In addition, the method allows analysis of lattices subjected to mixed boundary conditions. The developed code was verified by the comparison with an alternative numerical procedure based on energy minimization technique. The model and the code developed were applied to the case of a 2D hexagonal lattice with the mode I crack embedded into the structure. For the cases considered, it was observed that the crack nucleation and growth were accompanied by the dislocation emission.

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37

Chen, Bing, Tiantang Yu, Sundararajan Natarajan, Qing Zhang, and Tinh Quoc Bui. "Three-dimensional dynamic and quasi-static crack growth by a hybrid XFEM-peridynamics approach." Engineering Fracture Mechanics 261 (February 2022): 108205. http://dx.doi.org/10.1016/j.engfracmech.2021.108205.

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Amaral, Lucas, Liaojun Yao, René Alderliesten, and Rinze Benedictus. "The relation between the strain energy release in fatigue and quasi-static crack growth." Engineering Fracture Mechanics 145 (August 2015): 86–97. http://dx.doi.org/10.1016/j.engfracmech.2015.07.018.

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39

Narasimhan, R., C. S. Venkatesha, and S. Sairam. "Quasi-static crack growth in materials displaying the Bauschinger effect—I. Steady-state analysis." International Journal of Solids and Structures 30, no. 5 (1993): 659–73. http://dx.doi.org/10.1016/0020-7683(93)90028-6.

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40

Zheng, An-xing, and Xian-qi Luo. "Numerical study of quasi-static crack growth problems based on extended finite element method." Journal of Shanghai Jiaotong University (Science) 19, no. 6 (October 3, 2014): 736–46. http://dx.doi.org/10.1007/s12204-014-1557-8.

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41

Pathak, Himanshu, Akhilendra Singh, Indra Vir Singh, and M. Brahmankar. "Three-dimensional stochastic quasi-static fatigue crack growth simulations using coupled FE-EFG approach." Computers & Structures 160 (November 2015): 1–19. http://dx.doi.org/10.1016/j.compstruc.2015.08.002.

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42

Heintz, P. "On the numerical modelling of quasi-static crack growth in linear elastic fracture mechanics." International Journal for Numerical Methods in Engineering 65, no. 2 (2005): 174–89. http://dx.doi.org/10.1002/nme.1445.

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43

Raina, Arun, and Christian Linder. "Modeling quasi-static crack growth with the embedded finite element method on multiple levels." PAMM 12, no. 1 (December 2012): 135–36. http://dx.doi.org/10.1002/pamm.201210058.

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44

Hansson, Per, and Solveig Melin. "The Effect of a Low Angle Grain Boundary on the Short Fatigue Crack Growth." Key Engineering Materials 465 (January 2011): 362–65. http://dx.doi.org/10.4028/www.scientific.net/kem.465.362.

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The influence on the fatigue crack growth behaviour of a short edge crack due to different configurations of a nearby located low angle grain boundary is investigated under quasi-static and plane strain conditions. The geometry is modelled by dislocation dipole elements in a boundary element approach, and the plasticity is modelled by discrete dislocations. The crack is assumed to grow in a single shear mechanism due to nucleation, glide and annihilation of dislocations in the material. It was found that the sign of the dislocations in the grain boundary, the distances between them and the placement of the dislocations in the grain boundary with respect to preferred slip plane directions, all strongly influenced the growth behaviour.

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Nakamura, T., and Z. Wang. "Simulations of Crack Propagation in Porous Materials." Journal of Applied Mechanics 68, no. 2 (July 26, 2000): 242–51. http://dx.doi.org/10.1115/1.1356029.

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Failure propagation behavior of thermally sprayed coatings containing many random pores is investigated. The porous coatings are subjected to either external mechanical loads or residual stresses generated by temperature changes. The failure growth criterion is governed by the critical energy release rate. In our finite element analysis, the cohesive model is used to separate element boundaries during crack propagation in the inhomogeneous materials. The accuracy of the cohesive elements for the quasi-static crack growth is closely evaluated by an error analysis. We have observed that the cohesive elements may artificially increase the model compliance and introduce numerical errors. In order to minimize such errors, the parameters for cohesive model must be chosen carefully. Their numerical convergence and stability conditions with an implicit time integration scheme are also examined. In the porous material analysis, crack propagation is simulated to characterize its unique failure process. It appears a crack tends to propagate along the shortest path between neighboring pores. In addition, crack/pore coalescence mechanism causes the apparent crack length to increase discontinuously. Under thermally loaded conditions, the residual stresses generated by material mismatch in multilayered coatings drive cracks to grow. Using the present crack propagation model, the critical temperature leading to the complete porous coating failure can be approximated.

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46

Busfield, J. J. C., K. Tsunoda, C. K. L. Davies, and A. G. Thomas. "Contributions of Time Dependent and Cyclic Crack Growth to the Crack Growth Behavior of Non Strain-Crystallizing Elastomers." Rubber Chemistry and Technology 75, no. 4 (September 1, 2002): 643–56. http://dx.doi.org/10.5254/1.3544991.

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Abstract Engineering components are observed to fail more rapidly under cyclic loading than under static loading. This reflects features of the underlying crack growth behavior. This behavior is characterized by the relation between the tearing energy, T, and the crack growth per cycle, dc/dn. The increment of crack growth during each cycle is shown here to result from the sum of time dependent and cyclic crack growth components. The time dependent component represents the crack growth behavior that would be present in a conventional constant T crack growth test. Under repeated stressing additional crack growth, termed the cyclic crack growth component, occurs. For a non-crystallizing elastomer, significant effects of frequency have been found on the cyclic crack growth behavior, reflecting the presence of this cyclic element of crack growth. The cyclic crack growth behavior over a wide range of frequencies was investigated for unfilled and swollen SBR materials. The time dependent crack growth component was calculated from constant T crack growth tests and the cyclic contribution derived from comparison with the observed cyclic growth. It is shown that decreasing the frequency or increasing the maximum tearing energy during a cycle results in the cyclic crack growth behavior being dominated by time dependent crack growth. Conversely at high frequency and at low tearing energy, cyclic crack growth is dominated by the cyclic crack growth component. A large effect of frequency on cyclic crack growth behavior was observed for highly swollen SBR. The cyclic crack growth behavior was dominated by the time dependent crack growth component over the entire range of tearing energy and/or crack growth rate. The origin of the cyclic component may be the formation/melting of quasi crystals at the crack tip, which is absent at fast crack growth rates in the unswollen SBR and is absent at all rates in the swollen SBR.

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47

Liu, Guangzhong, Zhenting Chen, and Jiahao Zhou. "Numerical Investigation on the Residual Ultimate Strength of Central-Cracked Stiffened Plates under Tensile and Bending Loads Using XFEM." Journal of Marine Science and Engineering 11, no. 2 (February 1, 2023): 302. http://dx.doi.org/10.3390/jmse11020302.

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The present paper aims to study the crack propagating behavior of a stiffened plate under tensile and bending displacement load loads. The extended finite element method (XFEM) is used to analyze the residual ultimate strength of stiffened plates with a central crack. The quasi-static crack growth process is simulated by software ABAQUS. The validity of the grid is validated by the plate with a central crack. The numerical method is validated by comparing the fatigue crack growth rate of the round compact tension specimen (RCT) results of the extended finite element with experiment values. Influential parameters, including the size of the stiffened plates, heights of the stiffeners is varied, and uniaxial tensile and four-point bending models are analyzed. The results show that ultimate strength is reduced by the action of tensile and bending loads. The bottom plate and stiffener are destroyed with crack propagation, successively. With the increase in stiffener height, the crack resistance will also increase, thus restraining the central crack growth of stiffened plates.

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48

Omprakash, S., and R. Narasimhan. "A Finite Element Analysis of Mode III Quasi-Static Crack Growth at a Ductile-Brittle Interface." Journal of Applied Mechanics 63, no. 1 (March 1, 1996): 204–9. http://dx.doi.org/10.1115/1.2787199.

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Steady-state quasi-static crack growth along a bimaterial interface is analyzed under Mode III, small-scale yielding conditions using a finite element procedure. The interface is formed by an elastic-plastic material and an elastic substrate. The top elastic-plastic material is assumed to obey the J2 incremental theory of plasticity. It undergoes isotropic hardening with either a bilinear uniaxial response or a power-law response. The results obtained from the full-field numerical analysis compare very well with the analytical asymptotic results obtained by Castan˜eda and Mataga (1991), which forms one of the first studies on this subject. The validity of the separable form for the asymptotic solution assumed in their analysis is investigated. The range of dominance of the asymptotic fields is examined. Field variations are obtained for a power-law hardening elastic-plastic material. It is seen that the stresses are lower for a stiffer substrate. The potential of the bimaterial system to sustain slow stable crack growth along the interface is studied. It is found that the above potential is larger if the elastic substrate is more rigid with respect to the elastic-plastic material.

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49

Huang, R., N. Sukumar, and J. H. Prévost. "Modeling quasi-static crack growth with the extended finite element method Part II: Numerical applications." International Journal of Solids and Structures 40, no. 26 (December 2003): 7539–52. http://dx.doi.org/10.1016/j.ijsolstr.2003.08.001.

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50

Sukumar, N., and J. H. Prévost. "Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation." International Journal of Solids and Structures 40, no. 26 (December 2003): 7513–37. http://dx.doi.org/10.1016/j.ijsolstr.2003.08.002.

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