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Journal articles on the topic 'Finite element method. Fracture mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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1

Reddy, R. M., and B. N. Rao. "Stochastic fracture mechanics by fractal finite element method." Computer Methods in Applied Mechanics and Engineering 198, no. 3-4 (2008): 459–74. http://dx.doi.org/10.1016/j.cma.2008.08.014.

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2

Liebowitz, H., and E. T. Moyer. "Finite element methods in fracture mechanics." Computers & Structures 31, no. 1 (1989): 1–9. http://dx.doi.org/10.1016/0045-7949(89)90160-0.

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3

HUBNER, ANDRÉ RAFAEL, MATEUS MEIRA GARCIA, RODRIGO ALVES VIEIRA MAIA, DANIEL GASPARIN, CHARLES LEONARDO ISRAEL, and LEANDRO DE FREITAS SPINELLI. "MECHANICAL BEHAVIOR OF THORACOLUMBAR CORONAL SPLIT FRACTURES: FINITE ELEMENT ANALYSIS." Coluna/Columna 19, no. 3 (2020): 205–8. http://dx.doi.org/10.1590/s1808-185120201903223027.

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ABSTRACT Objective To analyze the behavior of thoracolumbar fractures of the coronal split type using the finite element method. Methods Two comparative studies were conducted through simulation of coronal split fractures in a finite model in which the first lumbar vertebra (L1) was considered to be fractured. In the first case, the fracture line was considered to have occurred in the middle of the vertebral body (50%), while in the second model, the fracture line occurred in the anterior quarter of the vertebral body (25%). The maximum von Mises stress values were compared, as well as the axi

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4

Sun, Zhicheng, Ean Tat Ooi, and Chongmin Song. "Finite fracture mechanics analysis using the scaled boundary finite element method." Engineering Fracture Mechanics 134 (January 2015): 330–53. http://dx.doi.org/10.1016/j.engfracmech.2014.12.002.

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5

Duflot, Marc. "The extended finite element method in thermoelastic fracture mechanics." International Journal for Numerical Methods in Engineering 74, no. 5 (2008): 827–47. http://dx.doi.org/10.1002/nme.2197.

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6

Vu-Bac, N., H. Nguyen-Xuan, L. Chen, et al. "A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics." Journal of Applied Mathematics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/978026.

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This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with imp

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7

Cen, Yi. "Extended Finite Element Method for Fracture Mechanics and Mesh Refinement Controlled by Density Function." Key Engineering Materials 525-526 (November 2012): 413–16. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.413.

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This paper discusses the combination of element enrichment by mesh refinement controlled by density function with the extended finite element method and its application in fracture mechanics. Extended finite element method (XFEM) is an effective numerical method for solving discontinuity problems in the finite element work frame. A numerical example of fracture mechanics is analyzed at the end of this paper to show the application of the above method.

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8

Banks-Sills, Leslie. "Application of the Finite Element Method to Linear Elastic Fracture Mechanics." Applied Mechanics Reviews 44, no. 10 (1991): 447–61. http://dx.doi.org/10.1115/1.3119488.

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Use of the finite element method to treat two and three-dimensional linear elastic fracture mechanics problems is becoming common place. In general, the behavior of the displacement field in ordinary elements is at most quadratic or cubic, so that the stress field is at most linear or quadratic. On the other hand, the stresses in the neighborhood of a crack tip in a linear elastic material have been shown to be square root singular. Hence, the problem begins by properly modeling the stresses in the region adjacent to the crack tip with finite elements. To this end, quarter-point, singular, iso

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9

Reynolds, R. R., K. Kokini, and G. Chen. "The Mechanics of the Interface Crack Using the Finite Element Method." Journal of Engineering Materials and Technology 112, no. 1 (1990): 38–43. http://dx.doi.org/10.1115/1.2903184.

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The interface crack between two dissimilar materials subjected to a tension load was analyzed using the finite element method in order to study the “open” and “closed” crack tip formulations of this problem. It was shown that these two formulations can be modelled by the absence or presence of interface elements along the crack faces with a very fine mesh. The fracture parameters (k and G) were calculated using crack flank displacements and extrapolation of the interfacial stresses to the crack tip. It was shown that even if the mesh is not fine enough to detect crack closing, the fracture par

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10

Truong, Thien Tich, and Bang Kim Tran. "APPLICATION OF QUARTER-POINT SINGULAR ELEMENT IN FINITE ELEMENT METHOD TO SIMULATION OF CRACK TIP BEHAVIOR." Science and Technology Development Journal 13, no. 2 (2010): 5–13. http://dx.doi.org/10.32508/stdj.v13i2.2113.

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Fracture mechanics is a new branch in engineering. The development of modern mathematical background with different numerical methods has supported fracture mechanics to solve many complex fracture problems in practice effectively. This article introduces the application of quarter - point singular element in finite element method to simulate crack tip behavior in two dimensional problems. The ANSYS and FRANC2D programs are used to compute stress intensity factor, simulate the stress and displacement fields near crack tip and simulate crack propagation. The calculation results are compared wit

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11

Chang-New, Chen. "Nonlinear fracture assessment by using the finite element method." Engineering Fracture Mechanics 46, no. 1 (1993): 57–77. http://dx.doi.org/10.1016/0013-7944(93)90304-b.

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12

Kumar, Ajay, Pankaj Shitole, Rajesh Ghosh, Rajeev Kumar, and Arpan Gupta. "Experimental and numerical comparisons between finite element method, element-free Galerkin method, and extended finite element method predicted stress intensity factor and energy release rate of cortical bone considering anisotropic bone modelling." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 233, no. 8 (2019): 823–38. http://dx.doi.org/10.1177/0954411919853918.

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Stress intensity factor and energy release rate are important parameters to understand the fracture behaviour of bone. The objective of this study is to predict stress intensity factor and energy release rate using finite element method, element-free Galerkin method, and extended finite element method and compare these results with the experimentally determined values. For experimental purpose, 20 longitudinally and transversely fractured single-edge notched bend specimens were prepared and tested according to ASTM standard. All specimens were tested using the universal testing machine. For nu

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13

Roshankhah, Shahrzad, Arman K. Nejad, Orlando Teran, and Kami Mohammadi. "Modelling the variation in the behaviour of pre-fractured rocks subjected to hydraulic fracturing with permeability of the rock matrix using finite-discrete element method." E3S Web of Conferences 205 (2020): 08001. http://dx.doi.org/10.1051/e3sconf/202020508001.

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In this study, we present the results of two-dimensional numerical simulations for the effects of rock matrix permeability on the behaviour of hydraulic fractures in intact and pre-fractured rocks. The simulations are performed using the Finite-Discrete Element Method (FDEM). In this method, the deformation and fluid pressure fields within the porous rock blocks, pre-existing fracture network, and hydraulically induced fractures are calculated through a fully coupled hydromechanical scheme. Furthermore, new fractures can initiate in crack elements located between each pair of finite elements a

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14

YAGAWA, Genki. "Recent Topics on Three-Dimensional Finite Element Method for Fracture Mechanics." Journal of the Society of Mechanical Engineers 88, no. 799 (1985): 589–95. http://dx.doi.org/10.1299/jsmemag.88.799_589.

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15

Yagawa, G., and Y. Takahashi. "Some applications of the finite element method to nonlinear fracture mechanics." Computer Methods in Applied Mechanics and Engineering 51, no. 1-3 (1985): 51–69. http://dx.doi.org/10.1016/0045-7825(85)90027-1.

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16

Sukumar, N., J. E. Dolbow, and N. Moës. "Extended finite element method in computational fracture mechanics: a retrospective examination." International Journal of Fracture 196, no. 1-2 (2015): 189–206. http://dx.doi.org/10.1007/s10704-015-0064-8.

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17

Bazhenov, V. A., M. O. Vabishchevich, I. I. Solodei, and E. A. Chepurnaya. "Semianalytic Finite-Element Method in Dynamic Problems of Linear Fracture Mechanics." International Applied Mechanics 54, no. 5 (2018): 519–30. http://dx.doi.org/10.1007/s10778-018-0904-0.

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18

Tanaka, S., H. Okada, S. Okazawa, and M. Fujikubo. "Fracture mechanics analysis using the wavelet Galerkin method and extended finite element method." International Journal for Numerical Methods in Engineering 93, no. 10 (2012): 1082–108. http://dx.doi.org/10.1002/nme.4433.

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19

Kwon, Young W. "Fracture analysis of plate bending using the finite element method." International Journal of Fracture 35, no. 4 (1987): R79—R81. http://dx.doi.org/10.1007/bf00276364.

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20

Rahman, Sharif. "Probabilistic fracture mechanics: J-estimation and finite element methods." Engineering Fracture Mechanics 68, no. 1 (2001): 107–25. http://dx.doi.org/10.1016/s0013-7944(00)00092-8.

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21

NISHIOKA, Toshihisa, Ryuichi MURAKAMI, and Satoshi MATSUO. "Moving Finite-Element Simulation of Fast Curving Fracture Using Automatic Element-Control Method." Transactions of the Japan Society of Mechanical Engineers Series A 57, no. 541 (1991): 2070–77. http://dx.doi.org/10.1299/kikaia.57.2070.

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22

Feng, S. Z., S. P. A. Bordas, X. Han, G. Wang, and Z. X. Li. "A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics." Acta Mechanica 230, no. 7 (2019): 2385–98. http://dx.doi.org/10.1007/s00707-019-02386-y.

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23

Molatefi, H., S. Najafian, and H. Mozafari. "Fracture mechanics of planetary gear set by using extended finite element method-linear elastic fracture mechanics approach." Australian Journal of Mechanical Engineering 13, no. 2 (2015): 87–96. http://dx.doi.org/10.7158/m13-077.2015.13.2.

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24

Wang, Shui Lin, Xia Ting Feng, Yu Yong Jiao, Xiu Run Ge, and Chun Guang Li. "Manifold Method and Its Applications for Modeling Fracturing in Solids." Key Engineering Materials 306-308 (March 2006): 511–16. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.511.

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A numerical technique based on using manifold elements in finite element method, for modeling propagation of arbitrary cracks in solids, is described. When the region with crack(s)is subjected to external loading and the crack(s) starts to extend, the crack growth may intersect boundaries of nearby finite elements. Those intersected finite elements are replaced by manifold elements. The technique, by which the initial finite element mesh can be kept unchanged during the processes of crack propagation, is called manifold elements in finite element method. The crack growth is governed by the the

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25

Ampla, Rafailia, Angelo V. Vasiliadis, and Konstantinos Katakalos. "Numerical Simulation of the Posterior Malleolus Fracture with the Finite Element Method." Journal of Functional Biomaterials 11, no. 1 (2020): 14. http://dx.doi.org/10.3390/jfb11010014.

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The high demand for biodegradable implants in bone fracture fixations has dramatically increased the use of polymers for biomedical applications as well. However, the replacement of stainless steel and titanium screws by biodegradable materials represents one of the most critical aspects of biomechanics. In this study, the mechanical behavior of polycaprolactone (PCL) in tension and compression is examined. Driven by the advanced technology of computational mechanics, the fixation of the posterior malleolus fracture has been designed and analyzed. The core idea depicts the static analysis of s

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26

Knight, Earl E., Esteban Rougier, Zhou Lei, et al. "HOSS: an implementation of the combined finite-discrete element method." Computational Particle Mechanics 7, no. 5 (2020): 765–87. http://dx.doi.org/10.1007/s40571-020-00349-y.

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Abstract Nearly thirty years since its inception, the combined finite-discrete element method (FDEM) has made remarkable strides in becoming a mainstream analysis tool within the field of Computational Mechanics. FDEM was developed to effectively “bridge the gap” between two disparate Computational Mechanics approaches known as the finite and discrete element methods. At Los Alamos National Laboratory (LANL) researchers developed the Hybrid Optimization Software Suite (HOSS) as a hybrid multi-physics platform, based on FDEM, for the simulation of solid material behavior complemented with the l

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27

Vasovic, Ivana, Stevan Maksimovic, Dragi Stamenkovic, Slobodan Stupar, Mirko Maksimovic, and Gordana Bakic. "Fracture mechanics analysis of damaged turbine rotor discs using finite element method." Thermal Science 18, suppl.1 (2014): 107–12. http://dx.doi.org/10.2298/tsci121107176v.

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This paper presents evaluation fracture mechanics parameters in low pressure turbine components. Critical locations such as keyway and dovetail area are experiencing stress concentration leading to crack initiation. Stress intensity factors were evaluated using the J-Integral approach available within ANSYS software code. The finite element method allowed the prediction of the point of crack initiation and the crack propagation using the orientations of the maximum principal stresses. Special attention in this investigation is focused to develop analytic expressions for stress intensity factor

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28

He, Bo, and Hong Cai Zhang. "Fracture Mechanics Analysis of Functionally Graded Material Based on Finite Element Method." Applied Mechanics and Materials 195-196 (August 2012): 787–90. http://dx.doi.org/10.4028/www.scientific.net/amm.195-196.787.

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In this paper, the fracture problem of functionally graded material (FGM) was studied, and the shear modulus was assumed to be an exponential function. The influences of inhomogeneous parameter, crack size and crack angle on the stress intensity factors have been analyzed by the finite element method. The results indicated that the stress intensity factors of mode I decreased with the increasing of the crack angle, the stress intensity factors of mode II increased with the increasing of the crack angle, and the crack stress intensity factor of mode I and mode II decreased with the increasing o

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29

Lei, Zhou, Esteban Rougier, Earl E. Knight, Mengyan Zang, and Antonio Munjiza. "Impact Fracture and Fragmentation of Glass via the 3D Combined Finite-Discrete Element Method." Applied Sciences 11, no. 6 (2021): 2484. http://dx.doi.org/10.3390/app11062484.

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A driving technical concern for the automobile industry is their assurance that developed windshield products meet Federal safety standards. Besides conducting innumerable glass breakage experiments, product developers also have the option of utilizing numerical approaches that can provide further insight into glass impact breakage, fracture, and fragmentation. The combined finite-discrete element method (FDEM) is one such tool and was used in this study to investigate 3D impact glass fracture processes. To enable this analysis, a generalized traction-separation model, which defines the consti

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30

Adak, Dibyendu, ALN Pramod, Ean Tat Ooi, and Sundararajan Natarajan. "A combined virtual element method and the scaled boundary finite element method for linear elastic fracture mechanics." Engineering Analysis with Boundary Elements 113 (April 2020): 9–16. http://dx.doi.org/10.1016/j.enganabound.2019.12.008.

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31

Bai, Xiaoming, Xue Mi, Hai Xie, et al. "An Image-Based Double-Smoothing Cohesive Finite Element Framework for Particle-Reinforced Materials." Mathematics 8, no. 4 (2020): 543. http://dx.doi.org/10.3390/math8040543.

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In order to simulate the fracture process of particle-reinforced materials on the micro-scale, an image-based double-smoothing cohesive finite element framework is proposed in the present paper. Two separate smoothing processes are performed to reduce the noise in the digital image and eliminate the jagged elements in the finite element mesh. The main contribution of the present study is the proposed novel image-based cohesive finite element framework, and this method improved the quality of the meshes effectively. Meanwhile, the artificial resistance due to the jagged element is reduced with

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32

Giang, Nguyen Truong, and Ngo Huong Nhu. "Cast3M implementation of the extended finite element method for cohesive crack." Vietnam Journal of Mechanics 33, no. 1 (2011): 55–64. http://dx.doi.org/10.15625/0866-7136/33/1/38.

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In this paper, the finite element for cohesive crack for quasi-brittle materials is constructed by the displacement discontinuities in the element. The algorithm of construction and procedures for involving this finite element into code Cast3M are presented. The numerical calculations in fracture mechanics are presented to demonstrate the benefits of the proposed implementation.

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33

Wang, Yongliang, Yang Ju, and Yongming Yang. "Adaptive Finite Element-Discrete Element Analysis for Microseismic Modelling of Hydraulic Fracture Propagation of Perforation in Horizontal Well considering Pre-Existing Fractures." Shock and Vibration 2018 (2018): 1–14. http://dx.doi.org/10.1155/2018/2748408.

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Hydrofracturing technology of perforated horizontal well has been widely used to stimulate the tight hydrocarbon reservoirs for gas production. To predict the hydraulic fracture propagation, the microseismicity can be used to infer hydraulic fractures state; by the effective numerical methods, microseismic events can be addressed from changes of the computed stresses. In numerical models, due to the challenges in accurately representing the complex structure of naturally fractured reservoir, the interaction between hydraulic and pre-existing fractures has not yet been considered and handled sa

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34

Kaliske, Michael, Bastian Näser, and Christian Meiners. "Inelastic Fracture Mechanics for Tire Durability Simulations4." Tire Science and Technology 35, no. 3 (2007): 239–50. http://dx.doi.org/10.2346/1.2769363.

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Abstract A fully three-dimensional fracture mechanical approach is introduced which may serve as a basis for tire durability simulations utilizing the finite element method. The so-called material force approach is employed as an elegant alternative characterization of the energy release rate or the J-integral to describe discrete cracks. As a vector quantity, it even yields directional information. The method is applicable in the context of finite strains and nonlinear elasticity and inelasticity. Using the shown approach, a physical and efficient modeling of fracture sensitivity of tires is

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35

Nguyen-Vinh, H., I. Bakar, M. A. Msekh, et al. "Extended finite element method for dynamic fracture of piezo-electric materials." Engineering Fracture Mechanics 92 (September 2012): 19–31. http://dx.doi.org/10.1016/j.engfracmech.2012.04.025.

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36

Huynh, Hai D., Phuong Tran, Xiaoying Zhuang, and H. Nguyen-Xuan. "An extended polygonal finite element method for large deformation fracture analysis." Engineering Fracture Mechanics 209 (March 2019): 344–68. http://dx.doi.org/10.1016/j.engfracmech.2019.01.024.

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37

Jiang, Wen, Benjamin W. Spencer, and John E. Dolbow. "Ceramic nuclear fuel fracture modeling with the extended finite element method." Engineering Fracture Mechanics 223 (January 2020): 106713. http://dx.doi.org/10.1016/j.engfracmech.2019.106713.

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38

Mathukumar, S., VA Nagarajan, and A. Radhakrishnan. "Analysis and validation of femur bone data using finite element method under static load condition." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 16 (2019): 5547–55. http://dx.doi.org/10.1177/0954406219856028.

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Humans face bone fracture when they unfortunately met an accident, which requires timely medical attention for healing and repairing the fractured bone; otherwise that paralyzes their life. 3D modeling technique with computational method is very helpful at the side of doctors for healing and repairing the damaged bones. Fractional bone healing is one of the natural processes, which regain the mechanical reliability of the bone to a limited level of failures. The relationship between the biology and mechanics has introduced a new branch namely biomechanics. Various biomechanics models were used

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39

Hu, Shaowei, and Brian Moran. "Cracking analysis of fracture mechanics by the finite element method of lines (FEMOL)." Acta Mechanica Sinica 21, no. 5 (2005): 495–502. http://dx.doi.org/10.1007/s10409-005-0059-1.

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40

Zhu, Shi Fan, Yang Cao, Chun Huan Guo, and Feng Chun Jiang. "An Experimental-Numerical Hybrid Method to Determine Dynamic Elastic-Plastic Fracture Toughness." Key Engineering Materials 577-578 (September 2013): 517–20. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.517.

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The dynamic fracture behavior of 7075-T6 aluminum alloy was studied by finite element method to simulate a cracked three-point bending specimen loaded by stress wave loading. In order to determine the elastic-plastic dynamic fracture toughness using quasi-static fracture mechanics theory, the nominal load measured by Hopkinson pressure bar loaded fracture testing system was input into a finite element program to calculate the loading point displacement, and then this displacement was employed to obtain the load-displacement field in the vicinity of the crack tip without the inertia effect, the

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41

Sun, Shanhui, Meihua Zhou, Wei Lu, and Afshin Davarpanah. "Application of Symmetry Law in Numerical Modeling of Hydraulic Fracturing by Finite Element Method." Symmetry 12, no. 7 (2020): 1122. http://dx.doi.org/10.3390/sym12071122.

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In this paper, influential parameters on the hydraulic fracturing processes in porous media were investigated. Besides, the simultaneous stimulation of solids, fluids and fractures geomechanical equations were numerically analyzed as a developed 3D model. To do this, the Abacus software was used as a multi-objective program to solve the physical-mechanical symmetry law governing equations, according to the finite element method. Two different layers, A (3104–2984 m) and B (4216–4326 m), are considered in the model. According to the result of this study, the maximum fracture opening length in t

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42

Chidgzey, S. R., J. Trevelyan, and A. J. Deeks. "Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics." Computers & Structures 86, no. 11-12 (2008): 1198–203. http://dx.doi.org/10.1016/j.compstruc.2007.11.007.

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43

Alshoaibi, Abdulnaser M., and Yahya Ali Fageehi. "Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method." Metals 11, no. 1 (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 bot

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44

Yang, Zhenjun. "Application of scaled boundary finite element method in static and dynamic fracture problems." Acta Mechanica Sinica 22, no. 3 (2006): 243–56. http://dx.doi.org/10.1007/s10409-006-0110-x.

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45

Guo, Hui, Jiantao Li, Yuan Gao, et al. "A Finite Element Study on the Treatment of Thoracolumbar Fracture with a New Spinal Fixation System." BioMed Research International 2021 (April 10, 2021): 1–9. http://dx.doi.org/10.1155/2021/8872514.

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Objective. In this study, the mechanical properties of the new spinal fixation system (NSFS) in the treatment of thoracolumbar fractures were evaluated by the finite element analysis method, so as to provide a mechanical theoretical basis for the later biomechanical experiments and clinical experiments. Methods. T12-L2 bone model was constructed to simulate L1 vertebral fracture, and three models of internal fixation systems were established on the basis of universal spinal system (USS): Model A: posterior short-segment fixation including the fractured vertebra (PSFFV); Model B: short-segment

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46

OKADA, Hiroshi, Sayaka ENDOH, and Masanori KIKUCHI. "Application of S-Version Finite Element Method to Two Dimensional Fracture Mechanics Problems." Transactions of the Japan Society of Mechanical Engineers Series A 71, no. 704 (2005): 677–84. http://dx.doi.org/10.1299/kikaia.71.677.

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47

Shen, Yongxing, and Adrian Lew. "An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics." International Journal for Numerical Methods in Engineering 82, no. 6 (2009): 716–55. http://dx.doi.org/10.1002/nme.2781.

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48

OKADA, Hiroshi, Sayaka ENDOH, and Masanori KIKUCHI. "Application of s-Version Finite Element Method to Two-Dimensional Fracture Mechanics Problems." Journal of Solid Mechanics and Materials Engineering 1, no. 5 (2007): 699–710. http://dx.doi.org/10.1299/jmmp.1.699.

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49

GRASA, J., J. A. BEA, J. F. RODRIGUEZ, and M. DOBLARE. "The perturbation method and the extended finite element method. An application to fracture mechanics problems." Fatigue Fracture of Engineering Materials and Structures 29, no. 8 (2006): 581–87. http://dx.doi.org/10.1111/j.1460-2695.2006.01028.x.

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50

Syngellakis, Stavros, and Jiang Wei Wu. "Nonlinear Viscoelastic Fracture Mechanics Using Boundary Elements." Key Engineering Materials 454 (December 2010): 137–48. http://dx.doi.org/10.4028/www.scientific.net/kem.454.137.

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The boundary element methodology is applied to the fracture mechanics of non-linear viscoelastic solids. The adopted non-linear model is based on the ‘free volume’ concept, which is introduced into the relaxation moduli entering the linear viscoelastic relations through a time shift depending on the volumetric strain. Nonlinearity generates an irreducible domain integral into the original boundary integral equation governing the behaviour of linear viscoelastic solids. This necessitates the evaluation of domain strains, which relies on a non-standard differentiation of an integral with a stron

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