Guan, Jinwei; Guo, Li An innovative bond-based peridynamic model for fracture analysis of orthotropic materials. (English) Zbl 07929179 Eur. J. Mech., A, Solids 108, Article ID 105414, 19 p. (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Fan; Bai, Ming; Duan, Qinglin A three-dimensional consistent ordinary state-based peridynamic formulation with high accuracy. (English) Zbl 07886282 Eng. Anal. Bound. Elem. 165, Article ID 105758, 15 p. (2024). MSC: 65-XX 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wolper, Joshuah; Garyfallogiannis, Konstantinos; Purohit, Prashant K.; Bassani, John L. Evaluating material point methods on problems involving free surfaces and strong gradients. (English) Zbl 07845186 Int. J. Numer. Methods Eng. 125, No. 6, Article ID e7414, 23 p. (2024). MSC: 74S99 74R10 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Lu; Wriggers, Peter; Huang, Yu-jie; Zhang, Hui; Xu, Shi-lang Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity. (English) Zbl 1539.74373 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116540, 21 p. (2024). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Fu, Xiaolong; Li, Zhiyuan; Rabczuk, Timon Bond-based nonlocal models by nonlocal operator method in symmetric support domain. (English) Zbl 1536.74006 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116230, 24 p. (2024). MSC: 74A45 74Bxx 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zhanfei; Yu, Tiantang; Hirshikesh; Natarajan, Sundararajan An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture. (English) Zbl 1538.74129 Comput. Math. Appl. 153, 1-19 (2024). MSC: 74R10 74S05 74A45 65N30 74S22 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yuechuan; Han, Fei; Li, Zhibin; Sun, Yunhou; Mei, Yong; Zhang, Ao Element-based coupling modeling of peridynamics and classical continuum mechanics for dynamic brittle fracture. (English) Zbl 1532.74007 Int. J. Numer. Methods Eng. 124, No. 24, 5574-5595 (2023). MSC: 74A70 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Faivre, Maxime; Martin, Alexandre; Massin, Patrick; Giot, Richard; Golfier, Fabrice On the use of a mass lumping technique compatible with a fully-coupled hydromechanical model for the case of strong discontinuities with the extended finite element method. (English) Zbl 1534.74073 Int. J. Numer. Methods Eng. 124, No. 24, 5405-5445 (2023). MSC: 74S05 74F10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Jinwei; Li, Wanjin; Yan, Xiaofeng; Guo, Li An incremental bond-based peridynamic method for elastoplastic problems. (English) Zbl 1535.74018 Int. J. Numer. Methods Eng. 124, No. 17, 3875-3902 (2023). MSC: 74A70 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Zhixin; Ni, Ruichen; Zhang, Xiong; Liu, Yan An explicit phase field material point method for modeling dynamic fracture problems. (English) Zbl 1530.74071 Int. J. Numer. Methods Eng. 124, No. 12, 2680-2708 (2023). MSC: 74R10 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Alebrahim, Reza; Marfia, Sonia A fast adaptive PD-FEM coupling model for predicting cohesive crack growth. (English) Zbl 1539.74411 Comput. Methods Appl. Mech. Eng. 410, Article ID 116034, 29 p. (2023). MSC: 74S05 74Rxx 74A45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Karthik, S.; Nasedkina, A.; Nasedkin, A.; Rajagopal, A. Framework and numerical algorithm for a phase field fracture model. (English) Zbl 1514.65173 East Asian J. Appl. Math. 13, No. 1, 162-176 (2023). MSC: 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Rakici, Semsi; Kim, Jinseok A discrete surface correction method for bond-based peridynamics. (English) Zbl 1521.74400 Eng. Anal. Bound. Elem. 151, 115-135 (2023). MSC: 74S60 65M75 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Tong-Rui; Aldakheel, Fadi; Aliabadi, M. H. Virtual element method for phase field modeling of dynamic fracture. (English) Zbl 1539.74452 Comput. Methods Appl. Mech. Eng. 411, Article ID 116050, 29 p. (2023). MSC: 74S05 74Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaolong; Hao, Zhiming On deformation and fracture of PBX simulant employing modified three-body potential peridynamics model with deformation-based failure criteria. (English) Zbl 1510.74006 Appl. Math. Modelling 115, 100-126 (2023). MSC: 74A70 × Cite Format Result Cite Review PDF Full Text: DOI
Harnish, Cale; Dalessandro, Luke; Matouš, Karel; Livescu, Daniel An adaptive wavelet method for nonlinear partial differential equations with applications to dynamic damage modeling. (English) Zbl 07660357 J. Comput. Phys. 479, Article ID 112002, 23 p. (2023). MSC: 74Rxx 65Mxx 74Sxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhijun; Jiang, Yao; Yang, Han; Cai, Zhen; Tong, Yuxin; Zhang, Fanyu Preconditioned numerical manifold method for linear elastic fractures. (English) Zbl 1539.74453 Comput. Methods Appl. Mech. Eng. 406, Article ID 115911, 29 p. (2023). MSC: 74S05 74A45 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Amirian, Benhour; Abali, Bilen Emek; Hogan, James David The study of diffuse interface propagation of dynamic failure in advanced ceramics using the phase-field approach. (English) Zbl 1539.74031 Comput. Methods Appl. Mech. Eng. 405, Article ID 115862, 18 p. (2023). MSC: 74A45 74H15 74R10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xiao, Guizhong; Wen, Longfei; Tian, Rong; Zhang, Dingguo Improved XFEM (IXFEM): 3D dynamic crack propagation under impact loading. (English) Zbl 1539.74488 Comput. Methods Appl. Mech. Eng. 405, Article ID 115844, 31 p. (2023). MSC: 74S05 65N30 74A45 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Qibang; Chen, Muhao; Skelton, Robert E. An extended ordinary state-based peridynamics for non-spherical horizons. (English) Zbl 1536.74013 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115712, 21 p. (2023). MSC: 74A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, Tao; Zaccariotto, Mirco; Fan, Xuanmei; Zhu, Qizhi; Schrefler, Bernhard A.; Galvanetto, Ugo A peridynamic differential operator-based scheme for the extended bond-based peridynamics and its application to fracture problems of brittle solids. (English) Zbl 1503.74010 Eur. J. Mech., A, Solids 97, Article ID 104853, 25 p. (2023). MSC: 74A70 74R10 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Latifaghili, Amir; Bybordiani, Milad; Erkmen, Recep Emre; Dias-da-Costa, Daniel An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interface problems. (English) Zbl 07767233 Int. J. Numer. Methods Eng. 123, No. 6, 1432-1455 (2022). MSC: 74Sxx 74Rxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuxiao; Javadi, Akbar A.; Fidelibus, Corrado Analysis of interaction of multiple cracks based on tip stress field using extended finite element method. (English) Zbl 1517.74084 J. Appl. Math. 2022, Article ID 1010174, 15 p. (2022). MSC: 74S05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
BaniHani, Suleiman M.; Al-Oqla, Faris M.; Hayajneh, Mohammad; Mutawe, Samer; Almomani, Thakir A new approach for dynamic crack propagation modeling based on meshless Galerkin method and visibility based criterion. (English) Zbl 1503.74098 Appl. Math. Modelling 107, 1-19 (2022). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Ankit, Ankit; Song, Chongmin; Eisenträger, Sascha; Zhang, Sen; Hamed, Ehab Dynamic non-local damage analysis using an octree pattern-based massively parallel explicit solver. (English) Zbl 1507.74364 Comput. Methods Appl. Mech. Eng. 400, Article ID 115598, 32 p. (2022). MSC: 74R05 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhijun; Zhang, Yimin; Jiang, Yao; Yang, Han; Yang, Yongtao Unfitted finite element method for fully coupled poroelasticity with stabilization. (English) Zbl 1507.74127 Comput. Methods Appl. Mech. Eng. 397, Article ID 115132, 31 p. (2022). MSC: 74F10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Labanda, Nicolás A.; Espath, Luis; Calo, Victor M. A spatio-temporal adaptive phase-field fracture method. (English) Zbl 1507.74393 Comput. Methods Appl. Mech. Eng. 392, Article ID 114675, 20 p. (2022). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Chun; Liu, Xinming; Lin, Qindong; Li, Shihai A simple particle-spring method for capturing the continuous-discontinuous processes of brittle materials. (English) Zbl 1521.74188 Eng. Anal. Bound. Elem. 139, 221-231 (2022). MSC: 74R05 × Cite Format Result Cite Review PDF Full Text: DOI
Shojaei, Arman; Hermann, Alexander; Cyron, Christian J.; Seleson, Pablo; Silling, Stewart A. A hybrid meshfree discretization to improve the numerical performance of peridynamic models. (English) Zbl 1507.74058 Comput. Methods Appl. Mech. Eng. 391, Article ID 114544, 33 p. (2022). MSC: 74A70 65N35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Poluektov, Michael; Figiel, Łukasz A cut finite-element method for fracture and contact problems in large-deformation solid mechanics. (English) Zbl 1507.74505 Comput. Methods Appl. Mech. Eng. 388, Article ID 114234, 25 p. (2022). MSC: 74S05 74M15 74R10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bybordiani, Milad; Latifaghili, Amir; Soares, Delfim jun.; Godinho, Luis; Dias-da-Costa, Daniel An XFEM multilayered heaviside enrichment for fracture propagation with reduced enhanced degrees of freedom. (English) Zbl 07865364 Int. J. Numer. Methods Eng. 122, No. 14, 3425-3447 (2021). MSC: 74Sxx 74Rxx 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Guangda; Chen, Jianbing Dynamic cracking simulation by the nonlocal macro-meso-scale damage model for isotropic materials. (English) Zbl 07863786 Int. J. Numer. Methods Eng. 122, No. 12, 3070-3099 (2021). MSC: 74Rxx 74Axx 74Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yongzheng; Ren, Huilong; Areias, Pedro; Zhuang, Xiaoying; Rabczuk, Timon Quasi-static and dynamic fracture modeling by the nonlocal operator method. (English) Zbl 1521.74201 Eng. Anal. Bound. Elem. 133, 120-137 (2021). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Boys, B.; Dodwell, T. J.; Hobbs, M.; Girolami, M. PeriPy – a high performance peridynamics package. (English) Zbl 1507.74052 Comput. Methods Appl. Mech. Eng. 386, Article ID 114085, 30 p. (2021). MSC: 74A70 74-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zhuang, Xiaoying; Ren, Huilong; Rabczuk, Timon Nonlocal operator method for dynamic brittle fracture based on an explicit phase field model. (English) Zbl 1486.74125 Eur. J. Mech., A, Solids 90, Article ID 104380, 14 p. (2021). MSC: 74R10 74A70 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhijun; Guan, Zhichun; Zhang, Peng; Sun, Cong; Liu, Feng; Lin, Shan Explicit edge-based smoothed numerical manifold method for transient dynamic modeling of two-dimensional stationary cracks. (English) Zbl 1521.74229 Eng. Anal. Bound. Elem. 128, 310-325 (2021). MSC: 74S05 65M60 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Butt, Sahir N.; Meschke, Günther Peridynamic analysis of dynamic fracture: influence of peridynamic horizon, dimensionality and specimen size. (English) Zbl 1467.74078 Comput. Mech. 67, No. 6, 1719-1745 (2021). MSC: 74R10 74A70 74K20 74S99 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bybordiani, Milad; Dias-da-Costa, Daniel A consistent finite element approach for dynamic crack propagation with explicit time integration. (English) Zbl 1506.74346 Comput. Methods Appl. Mech. Eng. 376, Article ID 113652, 26 p. (2021). MSC: 74R10 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Yang; Meng, Xianghui; Shen, Guozhe; Zheng, Guojun; Hu, Ping Isogeometric analysis of cracks with peridynamics. (English) Zbl 1506.74372 Comput. Methods Appl. Mech. Eng. 377, Article ID 113700, 27 p. (2021). MSC: 74R10 74A70 74S05 74S22 × Cite Format Result Cite Review PDF Full Text: DOI
Jameel, Azher; Harmain, G. A. Effect of material irregularities on fatigue crack growth by enriched techniques. (English) Zbl 07880983 Int. J. Comput. Methods Eng. Sci. Mech. 21, No. 3, 109-133 (2020). MSC: 74Sxx 74Rxx 74Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kun; Shen, Shui-Long; Zhou, Annan Dynamic brittle fracture with eigenerosion enhanced material point method. (English) Zbl 07863303 Int. J. Numer. Methods Eng. 121, No. 17, 3768-3794 (2020). MSC: 74Sxx 74Rxx 74Axx × Cite Format Result Cite Review PDF Full Text: DOI
Asareh, Iman; Song, Jeong-Hoon; Mullen, Robert L.; Qian, Yu A general mass lumping scheme for the variants of the extended finite element method. (English) Zbl 07843292 Int. J. Numer. Methods Eng. 121, No. 10, 2262-2284 (2020). MSC: 74Sxx 74Rxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Saxby, Ben A.; Hazel, Andrew L. Improving the modified XFEM for optimal high-order approximation. (English) Zbl 07843203 Int. J. Numer. Methods Eng. 121, No. 3, 411-433 (2020). MSC: 74Sxx 65Nxx 74Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Vlassis, Nikolaos N.; Ma, Ran; Sun, WaiChing Geometric deep learning for computational mechanics. I: Anisotropic hyperelasticity. (English) Zbl 1506.74504 Comput. Methods Appl. Mech. Eng. 371, Article ID 113299, 39 p. (2020). MSC: 74S99 68T05 65T50 74B20 74E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannakeas, Ilias N.; Papathanasiou, Theodosios K.; Fallah, Arash S.; Bahai, Hamid Coupling XFEM and peridynamics for brittle fracture simulation. II: Adaptive relocation strategy. (English) Zbl 1466.74043 Comput. Mech. 66, No. 3, 683-705 (2020). MSC: 74S05 74R10 74A70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Peng, Yu-Xiang; Zhang, A-Man; Ming, Fu-Ren A 3D meshfree crack propagation algorithm for the dynamic fracture in arbitrary curved shell. (English) Zbl 1442.74235 Comput. Methods Appl. Mech. Eng. 367, Article ID 113139, 27 p. (2020). MSC: 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Molnár, Gergely; Gravouil, Anthony; Seghir, Rian; Réthoré, Julien An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation. (English) Zbl 1442.74211 Comput. Methods Appl. Mech. Eng. 365, Article ID 113004, 26 p. (2020). MSC: 74R10 74C05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chen, Lin; Li, Bin; de Borst, René Energy conservation during remeshing in the analysis of dynamic fracture. (English) Zbl 1539.74366 Int. J. Numer. Methods Eng. 120, No. 4, 433-446 (2019). MSC: 74R10 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Geelen, Rudy J. M.; Liu, Yingjie; Hu, Tianchen; Tupek, Michael R.; Dolbow, John E. A phase-field formulation for dynamic cohesive fracture. (English) Zbl 1440.74359 Comput. Methods Appl. Mech. Eng. 348, 680-711 (2019). MSC: 74R10 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaonan; Kulkarni, Shank S.; Tabarraei, Alireza Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems. (English) Zbl 1440.74041 Comput. Methods Appl. Mech. Eng. 344, 251-275 (2019). MSC: 74A45 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tao; Ye, Xuan; Liu, Zhanli; Chu, Dongyang; Zhuang, Zhuo Modeling the dynamic and quasi-static compression-shear failure of brittle materials by explicit phase field method. (English) Zbl 1464.74160 Comput. Mech. 64, No. 6, 1537-1556 (2019). MSC: 74R20 74S20 74L10 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Z.; Feng, W. J.; Zhang, Ch.; Liu, J. X. The extended finite element method with novel crack-tip enrichment functions for dynamic fracture analysis of interfacial cracks in piezoelectric-piezomagnetic bi-layered structures. (English) Zbl 1465.74172 Comput. Mech. 64, No. 5, 1303-1319 (2019). MSC: 74S05 74R10 74F15 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guohua; Yang, Yongtao; Sun, Guanhua; Zheng, Hong A mass lumping scheme for the 10-node tetrahedral element. (English) Zbl 1464.74227 Eng. Anal. Bound. Elem. 106, 190-200 (2019). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshioka, Keita; Parisio, Francesco; Naumov, Dmitri; Lu, Renchao; Kolditz, Olaf; Nagel, Thomas Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing. (English) Zbl 1453.86010 GEM. Int. J. Geomath. 10, No. 1, Paper No. 13, 35 p. (2019). MSC: 86-08 86A20 74R99 74S05 74L10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Haodong; Wang, Qingsong; Zeng, W.; Liu, G. R.; Sun, Jinhua; He, Linghui; Bui, Tinh Quoc Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning. (English) Zbl 1470.74055 Eur. J. Mech., A, Solids 76, 208-223 (2019). MSC: 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Hong; Yang, Yongtao; Shi, Genhua Reformulation of dynamic crack propagation using the numerical manifold method. (English) Zbl 1464.74230 Eng. Anal. Bound. Elem. 105, 279-295 (2019). MSC: 74S05 74R10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Vinh Phu; Wu, Jian-Ying Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model. (English) Zbl 1440.74362 Comput. Methods Appl. Mech. Eng. 340, 1000-1022 (2018). MSC: 74R10 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Nikolić, Mijo; Do, Xuan Nam; Ibrahimbegovic, Adnan; Nikolić, Željana Crack propagation in dynamics by embedded strong discontinuity approach: enhanced solid versus discrete lattice model. (English) Zbl 1440.74363 Comput. Methods Appl. Mech. Eng. 340, 480-499 (2018). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Cheng, Zhenxing; Wang, Hu How to control the crack to propagate along the specified path feasibly? (English) Zbl 1440.74356 Comput. Methods Appl. Mech. Eng. 336, 554-577 (2018). MSC: 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bie, Y. H.; Cui, X. Y.; Li, Z. C. A coupling approach of state-based peridynamics with node-based smoothed finite element method. (English) Zbl 1439.74392 Comput. Methods Appl. Mech. Eng. 331, 675-700 (2018). MSC: 74S05 65M60 74A45 × Cite Format Result Cite Review PDF Full Text: DOI
Arriaga, Miguel; Waisman, Haim Multidimensional stability analysis of the phase-field method for fracture with a general degradation function and energy split. (English) Zbl 1461.74079 Comput. Mech. 61, No. 1-2, 181-205 (2018). MSC: 74R20 74H55 74H10 × Cite Format Result Cite Review PDF Full Text: DOI
Homel, Michael A.; Herbold, Eric B. Field-gradient partitioning for fracture and frictional contact in the material point method. (English) Zbl 07874333 Int. J. Numer. Methods Eng. 109, No. 7, 1013-1044 (2017). MSC: 74Sxx 74Rxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Hong; Yang, Yongtao On generation of lumped mass matrices in partition of unity based methods. (English) Zbl 07867242 Int. J. Numer. Methods Eng. 112, No. 8, 1040-1069 (2017). MSC: 74Sxx 65Mxx 74Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Engwer, Christian; Schumacher, Liesel A phase field approach to pressurized fractures using discontinuous Galerkin methods. (English) Zbl 1540.74124 Math. Comput. Simul. 137, 266-285 (2017). MSC: 74R10 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yongtao; Zheng, Hong; Sivaselvan, M. V. A rigorous and unified mass lumping scheme for higher-order elements. (English) Zbl 1439.65125 Comput. Methods Appl. Mech. Eng. 319, 491-514 (2017). MSC: 65M60 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon Dual-horizon peridynamics: a stable solution to varying horizons. (English) Zbl 1439.74030 Comput. Methods Appl. Mech. Eng. 318, 762-782 (2017). MSC: 74A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mossaiby, F.; Shojaei, A.; Zaccariotto, M.; Galvanetto, U. OpenCL implementation of a high performance 3D peridynamic model on graphics accelerators. (English) Zbl 1524.74004 Comput. Math. Appl. 74, No. 8, 1856-1870 (2017). MSC: 74-04 65Y05 65Y10 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. (English) Zbl 1365.65265 Int. J. Numer. Methods Eng. 110, No. 3, 203-226 (2017). MSC: 65N30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Cai, Yongchang; Rabczuk, Timon Dual-horizon peridynamics. (English) Zbl 07870047 Int. J. Numer. Methods Eng. 108, No. 12, 1451-1476 (2016). MSC: 74Sxx 74Rxx 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, J.; Bessa, M. A.; Oswald, J.; Liu, Z.; Belytschko, T. A method for modeling the transition of weak discontinuities to strong discontinuities: from interfaces to cracks. (English) Zbl 1540.74009 Int. J. Numer. Methods Eng. 105, No. 11, 834-854 (2016). MSC: 74A50 65N30 74S05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Lloberas-Valls, O.; Huespe, A. E.; Oliver, J.; Dias, I. F. Strain injection techniques in dynamic fracture modeling. (English) Zbl 1439.74361 Comput. Methods Appl. Mech. Eng. 308, 499-534 (2016). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wen, Longfei; Tian, Rong Improved XFEM: accurate and robust dynamic crack growth simulation. (English) Zbl 1439.74475 Comput. Methods Appl. Mech. Eng. 308, 256-285 (2016). MSC: 74S05 65N30 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Xiaoping; Wang, Yunteng; Qian, Qihu Numerical simulation of crack curving and branching in brittle materials under dynamic loads using the extended non-ordinary state-based peridynamics. (English) Zbl 1406.74621 Eur. J. Mech., A, Solids 60, 277-299 (2016). MSC: 74R10 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Qinglei; Liu, Zhanli; Xu, Dandan; Wang, Heng; Zhuang, Zhuo Modeling arbitrary crack propagation in coupled shell/solid structures with X-FEM. (English) Zbl 1352.74309 Int. J. Numer. Methods Eng. 106, No. 12, 1018-1040 (2016). MSC: 74R10 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. (English) Zbl 1352.74116 Int. J. Numer. Methods Eng. 106, No. 9, 683-711 (2016). MSC: 74F25 74F15 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Hong; Liu, Feng; Du, Xiuli Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method. (English) Zbl 1423.74853 Comput. Methods Appl. Mech. Eng. 295, 150-171 (2015). MSC: 74R10 65K15 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Miehe, Christian; Schänzel, Lisa-Marie; Ulmer, Heike Phase field modeling of fracture in multi-physics problems. I: Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids. (English) Zbl 1423.74838 Comput. Methods Appl. Mech. Eng. 294, 449-485 (2015). MSC: 74R10 74F05 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Satoyuki; Sannomaru, Shogo; Imachi, Michiya; Hagihara, Seiya; Okazawa, Shigenobu; Okada, Hiroshi Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method. (English) Zbl 1403.74126 Eng. Anal. Bound. Elem. 58, 129-139 (2015). MSC: 74S05 65M60 65T60 74A10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kevin G.; Lea, Patrick; Farhat, Charbel A computational framework for the simulation of high-speed multi-material fluid-structure interaction problems with dynamic fracture. (English) Zbl 1352.76079 Int. J. Numer. Methods Eng. 104, No. 7, 585-623 (2015). MSC: 76M12 74S10 76M10 74S05 65M08 65M60 74F10 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Alhadeff, A.; Celes, W.; Paulino, G. H. Mapping cohesive fracture and fragmentation simulations to graphics processor units. (English) Zbl 1352.65671 Int. J. Numer. Methods Eng. 103, No. 12, 859-893 (2015). MSC: 65Y10 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Moreau, K.; Moës, N.; Picart, D.; Stainier, L. Explicit dynamics with a non-local damage model using the thick level set approach. (English) Zbl 1352.74274 Int. J. Numer. Methods Eng. 102, No. 3-4, 808-838 (2015). MSC: 74R05 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wolff, Cyprien; Richart, Nicolas; Molinari, Jean-François A non-local continuum damage approach to model dynamic crackbranching. (English) Zbl 1352.74308 Int. J. Numer. Methods Eng. 101, No. 12, 933-949 (2015). MSC: 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Zuoyi; Bui, Tinh Quoc; Nguyen, Du Dinh; Saitoh, Takahiro; Hirose, Sohichi An extended consecutive-interpolation quadrilateral element (XCQ4) applied to linear elastic fracture mechanics. (English) Zbl 1336.74010 Acta Mech. 226, No. 12, 3991-4015 (2015). MSC: 74B05 74S05 74R99 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Youshi; Zhao, Jinzhou; Li, Yongming; Jia, Hu; Zhang, Liehui Extended finite element method for predicting productivity of multifractured horizontal wells. (English) Zbl 1407.74084 Math. Probl. Eng. 2014, Article ID 810493, 9 p. (2014). MSC: 74S05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, S. Stable cracking particles method based on stabilized nodal integration and updated Lagrangian kernel. (English) Zbl 1407.74094 Math. Probl. Eng. 2014, Article ID 646514, 10 p. (2014). MSC: 74S05 65N30 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Karamnejad, Amin; Sluys, Lambertus Johannes A dispersive multi-scale crack model for quasi-brittle heterogeneous materials under impact loading. (English) Zbl 1423.74830 Comput. Methods Appl. Mech. Eng. 278, 423-444 (2014). MSC: 74R10 74Q10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Confalonieri, Federica; Ghisi, Aldo; Cocchetti, Giuseppe; Corigliano, Alberto A domain decomposition approach for the simulation of fracture phenomena in polycrystalline microsystems. (English) Zbl 1423.74873 Comput. Methods Appl. Mech. Eng. 277, 180-218 (2014). MSC: 74S05 74R10 74A45 74E15 74H15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ghajari, M.; Iannucci, L.; Curtis, P. A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media. (English) Zbl 1423.74882 Comput. Methods Appl. Mech. Eng. 276, 431-452 (2014). MSC: 74S05 74R10 74A45 74L15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Özenç, K.; Kaliske, M. An implicit adaptive node-splitting algorithm to assess the failure mechanism of inelastic elastomeric continua. (English) Zbl 1352.74070 Int. J. Numer. Methods Eng. 100, No. 9, 669-688 (2014). MSC: 74D05 74S05 65N30 74A45 × Cite Format Result Cite Review PDF Full Text: DOI
Leon, S. E.; Spring, D. W.; Paulino, G. H. Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements. (English) Zbl 1352.74396 Int. J. Numer. Methods Eng. 100, No. 8, 555-576 (2014). MSC: 74S05 74A45 65M60 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Miehe, Christian; Schänzel, Lisa-Marie Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. (English) Zbl 1323.74012 J. Mech. Phys. Solids 65, 93-113 (2014). MSC: 74B05 74R05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Dandan; Liu, Zhanli; Liu, Xiaoming; Zeng, Qinglei; Zhuang, Zhuo Modeling of dynamic crack branching by enhanced extended finite element method. (English) Zbl 1398.74422 Comput. Mech. 54, No. 2, 489-502 (2014). MSC: 74S05 74R10 74R99 74H60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhanli; Oswald, Jay; Belytschko, Ted XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites. (English) Zbl 1454.76056 Wave Motion 50, No. 3, 389-401 (2013). MSC: 76M10 70H05 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Linder, Christian; Zhang, Xiaoxuan A marching cubes based failure surface propagation concept for three-dimensional finite elements with non-planar embedded strong discontinuities of higher-order kinematics. (English) Zbl 1352.74399 Int. J. Numer. Methods Eng. 96, No. 6, 339-372 (2013). MSC: 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Hofacker, M.; Miehe, C. A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. (English) Zbl 1352.74022 Int. J. Numer. Methods Eng. 93, No. 3, 276-301 (2013). MSC: 74A45 × Cite Format Result Cite Review PDF Full Text: DOI
Rabczuk, Timon Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives. (English) Zbl 1298.74002 ISRN Appl. Math. 2013, Article ID 849231, 38 p. (2013). MSC: 74-02 74-04 74R05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Xiaozhou; Zhang, Qing; Wang, Hong; Jiang, Qun The numerical simulation of the crack elastoplastic extension based on the extended finite element method. (English) Zbl 1296.74104 Math. Probl. Eng. 2013, Article ID 157130, 13 p. (2013). MSC: 74R10 74S05 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Sánchez, P. J.; Blanco, P. J.; Huespe, A. E.; Feijóo, R. A. Failure-oriented multi-scale variational formulation: micro-structures with nucleation and evolution of softening bands. (English) Zbl 1286.74009 Comput. Methods Appl. Mech. Eng. 257, 221-247 (2013). MSC: 74A45 74M25 74N15 74Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Topa, Vasile; Purcar, Marius; Munteanu, Calin; Grindei, Laura; Pacurar, Claudia; Garvasiuc, Ovidiu Shape optimization approach based on the extended finite element method. (English) Zbl 1358.78073 COMPEL 31, No. 2, 477-497 (2012). MSC: 78M10 65N30 74P15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Kyoungsoo; Paulino, Glaucio H.; Celes, Waldemar; Espinha, Rodrigo Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture. (English) Zbl 1352.74469 Int. J. Numer. Methods Eng. 92, No. 1, 1-35 (2012). MSC: 74S15 74R10 65N38 × Cite Format Result Cite Review PDF Full Text: DOI