A space-time discretization of a nonlinear peridynamic model on a 2D lamina
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Publication:2147280
DOI10.1016/j.camwa.2021.07.004OpenAlexW3188203211MaRDI QIDQ2147280
S. F. Pellegrino, Luciano Lopez
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06485
Brittle fracture (74R10) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (12)
A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation ⋮ A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models ⋮ A numerical method for a nonlocal form of Richards' equation based on peridynamic theory ⋮ Modified wave dispersion properties in 1D and 2D state-based peridynamic media ⋮ Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation ⋮ A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes ⋮ Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence ⋮ A filtered Chebyshev spectral method for conservation laws on network ⋮ A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type ⋮ An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities ⋮ Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics ⋮ A fast-convolution based space-time Chebyshev spectral method for peridynamic models
Uses Software
Cites Work
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