Coclite, Alessandro; Coclite, Giuseppe M.; Maddalena, Francesco; Politi, Tiziano A Numerical framework for nonlinear peridynamics on two-dimensional manifolds based on implicit P-(EC)\(^k\) schemes. (English) Zbl 07813248 SIAM J. Numer. Anal. 62, No. 2, 622-645 (2024). MSC: 74A70 74S20 35Q74 PDFBibTeX XMLCite \textit{A. Coclite} et al., SIAM J. Numer. Anal. 62, No. 2, 622--645 (2024; Zbl 07813248) Full Text: DOI arXiv
Ning, Luyuan; Cai, Zhenwei; Dong, Han; Liu, Yingzheng; Wang, Weizhe Physics-informed neural network frameworks for crack simulation based on minimized peridynamic potential energy. (English) Zbl 07804987 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116430, 20 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{L. Ning} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116430, 20 p. (2023; Zbl 07804987) Full Text: DOI
Scabbia, Francesco; Gasparrini, Claudia; Zaccariotto, Mirco; Galvanetto, Ugo; Larios, Adam; Bobaru, Florin Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence. (English) Zbl 07783948 Comput. Math. Appl. 151, 384-396 (2023). MSC: 74A45 74B99 80A20 74A70 65M12 PDFBibTeX XMLCite \textit{F. Scabbia} et al., Comput. Math. Appl. 151, 384--396 (2023; Zbl 07783948) Full Text: DOI
Ning, Luyuan; Cai, Zhenwei; Dong, Han; Liu, Yingzheng; Wang, Weizhe A peridynamic-informed neural network for continuum elastic displacement characterization. (English) Zbl 1516.74007 Comput. Methods Appl. Mech. Eng. 407, Article ID 115909, 24 p. (2023). MSC: 74A70 PDFBibTeX XMLCite \textit{L. Ning} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115909, 24 p. (2023; Zbl 1516.74007) Full Text: DOI
Anicode, Sundaram Vinod K.; Madenci, Erdogan Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements. (English) Zbl 1507.74045 Comput. Methods Appl. Mech. Eng. 398, Article ID 115208, 44 p. (2022). MSC: 74A60 PDFBibTeX XMLCite \textit{S. V. K. Anicode} and \textit{E. Madenci}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115208, 44 p. (2022; Zbl 1507.74045) Full Text: DOI
Scabbia, Francesco; Zaccariotto, Mirco; Galvanetto, Ugo A new method based on Taylor expansion and nearest-node strategy to impose Dirichlet and Neumann boundary conditions in ordinary state-based peridynamics. (English) Zbl 1492.74011 Comput. Mech. 70, No. 1, 1-27 (2022). MSC: 74A70 74S99 PDFBibTeX XMLCite \textit{F. Scabbia} et al., Comput. Mech. 70, No. 1, 1--27 (2022; Zbl 1492.74011) Full Text: DOI