A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes

DOI10.1137/22m1498942arXiv2207.06022MaRDI QIDQ6149801

Alessandro Coclite, Tiziano Politi, Francesco Maddalena, Giuseppe Maria Coclite

Publication date: 5 March 2024

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06022

zbMATH Keywords

Cauchy problem well-posedness numerical solution nonlocal continuum mechanics geodesic distance Dijkstra algorithm spherical capsule dissipative solution existence implicit beta-Newmark scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74) Peridynamics (74A70)

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