Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function
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Publication:2446525
DOI10.4310/CMS.2013.v11.n4.a7zbMath1434.74016MaRDI QIDQ2446525
Dimitri Puhst, Etienne Emmrich
Publication date: 17 April 2014
Published in: Communications in Mathematical Sciences (Search for Journal in Brave)
nonlinear elasticitymaximal solutionnonlocal continuum mechanicsabstract ordinary differential equation
Other nonlinear integral equations (45G10) Nonlinear elasticity (74B20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
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A short note on modeling damage in peridynamics ⋮ On the variational limit of a class of nonlocal functionals related to peridynamics ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Cohesive dynamics and brittle fracture ⋮ Dispersive effects in two- and three-dimensional peridynamics ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ 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 ⋮ Wellposedness of a nonlinear peridynamic model ⋮ Numerical methods for the nonlocal wave equation of the peridynamics ⋮ A peridynamic model of fracture mechanics with bond-breaking ⋮ The solvability of a strongly-coupled nonlocal system of equations ⋮ A fast-convolution based space-time Chebyshev spectral method for peridynamic models
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