Ren, Huilong; Zhuang, Xiaoying; Fu, Xiaolong; Li, Zhiyuan; Rabczuk, Timon Bond-based nonlocal models by nonlocal operator method in symmetric support domain. (English) Zbl 07822108 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116230, 24 p. (2024). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116230, 24 p. (2024; Zbl 07822108) Full Text: DOI arXiv
Wu, Jian-Ying; Yao, Jing-Ru; Le, Jia-Liang Phase-field modeling of stochastic fracture in heterogeneous quasi-brittle solids. (English) Zbl 07761314 Comput. Methods Appl. Mech. Eng. 416, Article ID 116332, 31 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{J.-Y. Wu} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116332, 31 p. (2023; Zbl 07761314) Full Text: DOI
Langenfeld, K.; Kurzeja, P.; Mosler, J. On the curvature dependence of gradient damage models: control and opportunities. (English) Zbl 07737569 Comput. Methods Appl. Mech. Eng. 410, Article ID 115987, 21 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{K. Langenfeld} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115987, 21 p. (2023; Zbl 07737569) Full Text: DOI
Nguyen-Thanh, Nhon; Zhang, Qi; Li, Weidong; Wu, Mao See; Li, Shaofan; Zhou, Kun Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials. (English) Zbl 07725671 Comput. Methods Appl. Mech. Eng. 414, Article ID 116054, 24 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{N. Nguyen-Thanh} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116054, 24 p. (2023; Zbl 07725671) Full Text: DOI
Li, Huan; Zhang, Wenyu; Cheng, Xiang A gradient-enhanced plasticity based phase-field model for ductile fracture simulations. (English) Zbl 07714946 Int. J. Comput. Methods 20, No. 1, Article ID 2250039, 34 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Comput. Methods 20, No. 1, Article ID 2250039, 34 p. (2023; Zbl 07714946) Full Text: DOI
Tran, Hung Thanh; Bui, Tinh Quoc; Chijiwa, Nobuhiro; Hirose, Sohichi A new implicit gradient damage model based on energy limiter for brittle fracture: theory and numerical investigation. (English) Zbl 07697916 Comput. Methods Appl. Mech. Eng. 413, Article ID 116123, 36 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. T. Tran} et al., Comput. Methods Appl. Mech. Eng. 413, Article ID 116123, 36 p. (2023; Zbl 07697916) Full Text: DOI
Stoter, Stein K. F.; Divi, Sai C.; van Brummelen, E. Harald; Larson, Mats G.; de Prenter, Frits; Verhoosel, Clemens V. Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics. (English) Zbl 07692979 Comput. Methods Appl. Mech. Eng. 412, Article ID 116074, 33 p. (2023). MSC: 82-XX 92-XX PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 412, Article ID 116074, 33 p. (2023; Zbl 07692979) Full Text: DOI arXiv
Marengo, Alessandro; Perego, Umberto A small deformations effective stress model of gradient plasticity phase-field fracture. (English) Zbl 07682857 Comput. Methods Appl. Mech. Eng. 409, Article ID 115992, 29 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{A. Marengo} and \textit{U. Perego}, Comput. Methods Appl. Mech. Eng. 409, Article ID 115992, 29 p. (2023; Zbl 07682857) 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 07653062 Comput. Methods Appl. Mech. Eng. 405, Article ID 115862, 18 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{B. Amirian} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115862, 18 p. (2023; Zbl 07653062) Full Text: DOI
Kroon, Martin; Rubin, M. B. Regularization of localization due to material softening using a nonlocal hardening variable in an Eulerian formulation of inelasticity. (English) Zbl 07543802 Int. J. Eng. Sci. 176, Article ID 103684, 14 p. (2022). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{M. Kroon} and \textit{M. B. Rubin}, Int. J. Eng. Sci. 176, Article ID 103684, 14 p. (2022; Zbl 07543802) Full Text: DOI
Xing, Wenjin; Miller, Anthony D. A multiscale failure modeling framework for strain localization in quasi-brittle materials. (English) Zbl 07488885 Int. J. Comput. Methods 18, No. 10, Article ID 2150045, 37 p. (2021). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{W. Xing} and \textit{A. D. Miller}, Int. J. Comput. Methods 18, No. 10, Article ID 2150045, 37 p. (2021; Zbl 07488885) Full Text: DOI
Porubov, Alexey V.; Osokina, Alena E. On two-dimensional longitudinal nonlinear waves in graphene lattice. (English) Zbl 1451.35220 Berezovski, Arkadi (ed.) et al., Applied wave mathematics II. Selected topics in solids, fluids, and mathematical methods and complexity. Cham: Springer. Math. Planet Earth 6, 151-166 (2019). MSC: 35Q82 82D80 74J30 37N15 PDFBibTeX XMLCite \textit{A. V. Porubov} and \textit{A. E. Osokina}, Math. Planet Earth 6, 151--166 (2019; Zbl 1451.35220) Full Text: DOI
van Vliet, Renate; Metrikine, Andrei V. Derivation and verification of a lattice model for bending vibration of a plate. (English) Zbl 07776831 ZAMM, Z. Angew. Math. Mech. 98, No. 3, 367-387 (2018). MSC: 74Exx 82Cxx 74-XX PDFBibTeX XMLCite \textit{R. van Vliet} and \textit{A. V. Metrikine}, ZAMM, Z. Angew. Math. Mech. 98, No. 3, 367--387 (2018; Zbl 07776831) Full Text: DOI
Wallen, S. P.; Boechler, N. Shear to longitudinal mode conversion via second harmonic generation in a two-dimensional microscale granular crystal. (English) Zbl 1524.74093 Wave Motion 68, 22-30 (2017). MSC: 74E20 35Q74 74J15 74A55 82D25 PDFBibTeX XMLCite \textit{S. P. Wallen} and \textit{N. Boechler}, Wave Motion 68, 22--30 (2017; Zbl 1524.74093) Full Text: DOI arXiv
Kästner, Markus; Metsch, Philipp; de Borst, René Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. (English) Zbl 1349.65453 J. Comput. Phys. 305, 360-371 (2016). MSC: 65M60 65D17 65M12 80A22 80M10 82C26 82C80 PDFBibTeX XMLCite \textit{M. Kästner} et al., J. Comput. Phys. 305, 360--371 (2016; Zbl 1349.65453) Full Text: DOI
Haelterman, R.; Van Eester, D.; Verleyen, D. Accelerating the solution of a physics model inside a tokamak using the (inverse) column updating method. (English) Zbl 1326.82022 J. Comput. Appl. Math. 279, 133-144 (2015). MSC: 82D10 82C80 65H10 PDFBibTeX XMLCite \textit{R. Haelterman} et al., J. Comput. Appl. Math. 279, 133--144 (2015; Zbl 1326.82022) Full Text: DOI
Di Sia, Paolo Overview of Drude-Lorentz type models and. (English) Zbl 1456.82876 Nanoscale Syst., Math. Model. Theory Appl. 3, 1-13 (2014). MSC: 82D03 82D20 82D37 82D40 82D80 82M37 82M10 PDFBibTeX XMLCite \textit{P. Di Sia}, Nanoscale Syst., Math. Model. Theory Appl. 3, 1--13 (2014; Zbl 1456.82876) Full Text: DOI
Mohamed, M. Shadi; Seaid, Mohammed; Trevelyan, Jon; Laghrouche, Omar An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling. (English) Zbl 1349.82103 J. Comput. Phys. 258, 718-737 (2014). MSC: 82C80 65M60 82D30 PDFBibTeX XMLCite \textit{M. S. Mohamed} et al., J. Comput. Phys. 258, 718--737 (2014; Zbl 1349.82103) Full Text: DOI
Ren, Bo; Li, Shaofan A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. (English) Zbl 1352.74081 Int. J. Numer. Methods Eng. 93, No. 9, 989-1014 (2013). MSC: 74E15 74A45 74M25 82D25 PDFBibTeX XMLCite \textit{B. Ren} and \textit{S. Li}, Int. J. Numer. Methods Eng. 93, No. 9, 989--1014 (2013; Zbl 1352.74081) Full Text: DOI
Hütter, Markus; Svendsen, Bob On the formulation of continuum thermodynamic models for solids as general equations for non-equilibrium reversible-irreversible coupling. (English) Zbl 1451.74025 J. Elasticity 104, No. 1-2, 357-368 (2011). MSC: 74A15 82C35 PDFBibTeX XMLCite \textit{M. Hütter} and \textit{B. Svendsen}, J. Elasticity 104, No. 1--2, 357--368 (2011; Zbl 1451.74025) Full Text: DOI
Utzinger, Johannes; Steinmann, Paul; Menzel, Andreas Computational modelling of microcracking effects in polycrystalline piezoelectric ceramics. (English) Zbl 1220.82172 GAMM-Mitt. 31, No. 2, 151-165 (2008). MSC: 82D45 74R20 74M25 74S05 PDFBibTeX XMLCite \textit{J. Utzinger} et al., GAMM-Mitt. 31, No. 2, 151--165 (2008; Zbl 1220.82172) Full Text: DOI
Chen, Youping; Lee, James D.; Eskandarian, Azim Examining the physical foundation of continuum theories from the viewpoint of phonon dispersion relation. (English) Zbl 1211.74014 Int. J. Eng. Sci. 41, No. 1, 61-83 (2003). MSC: 74A25 74F15 74J99 82D25 PDFBibTeX XMLCite \textit{Y. Chen} et al., Int. J. Eng. Sci. 41, No. 1, 61--83 (2003; Zbl 1211.74014) Full Text: DOI
Metrikine, Andrei V.; Askes, Harm One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation. (English) Zbl 1006.74016 Eur. J. Mech., A, Solids 21, No. 4, 555-572 (2002). MSC: 74B99 74A60 82B21 PDFBibTeX XMLCite \textit{A. V. Metrikine} and \textit{H. Askes}, Eur. J. Mech., A, Solids 21, No. 4, 555--572 (2002; Zbl 1006.74016) Full Text: DOI
Menzel, A.; Steinmann, P. On the continuum formulation of higher-gradient plasticity for single and polycrystals. (English) Zbl 0999.74029 J. Mech. Phys. Solids 48, No. 8, 1777-1796 (2000); erratum ibid. 49, No. 5, 1179-1180 (2001). Reviewer: N.Cristescu (Gainesville) MSC: 74C10 74E15 82D25 PDFBibTeX XMLCite \textit{A. Menzel} and \textit{P. Steinmann}, J. Mech. Phys. Solids 48, No. 8, 1777--1796 (2000; Zbl 0999.74029) Full Text: DOI