Wellposedness of a nonlinear peridynamic model
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Publication:4644677
DOI10.1088/1361-6544/aae71bzbMath1404.74102arXiv1804.00273OpenAlexW2795983697WikidataQ128853003 ScholiaQ128853003MaRDI QIDQ4644677
Giuseppe Maria Coclite, Serena Dipierro, Enrico Valdinoci, Francesco Maddalena
Publication date: 8 January 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.00273
Brittle fracture (74R10) Thin films (74K35) Optimization of other properties in solid mechanics (74P10) Junctions (74K30)
Related Items (16)
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics ⋮ A space-time discretization of a nonlinear peridynamic model on a 2D lamina ⋮ Dispersive effects in two- and three-dimensional peridynamics ⋮ A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ Singularity formation in fractional Burgers' equations ⋮ A Framework for Nonlocal, Nonlinear Initial Value Problems ⋮ A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes ⋮ The Cauchy problem for time-fractional linear nonlocal diffusion equations ⋮ The unique identification of variable-order fractional wave equations ⋮ Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations ⋮ Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations ⋮ The solvability of a strongly-coupled nonlocal system of equations ⋮ Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations ⋮ Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics ⋮ A fast-convolution based space-time Chebyshev spectral method for peridynamic models
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