Numerical Analysis of Nonlocal Fracture Models in Hölder Space
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Publication:4637513
DOI10.1137/17M1112236zbMath1388.74054arXiv1701.02818OpenAlexW2575734604MaRDI QIDQ4637513
Robert P. Lipton, Prashant K. Jha
Publication date: 24 April 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02818
Stability of dynamical problems in solid mechanics (74H55) Finite difference methods applied to problems in solid mechanics (74S20)
Related Items (10)
A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Numerical convergence of finite difference approximations for state based peridynamic fracture models ⋮ Quasistatic fracture using nonlinear‐nonlocal elastostatics with explicit tangent stiffness matrix ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes ⋮ Quasistatic Evolution with Unstable Forces ⋮ Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems ⋮ Nonlocal elastodynamics and fracture ⋮ Finite element approximation of nonlocal dynamic fracture models ⋮ Finite element convergence for state-based peridynamic fracture models
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