A peridynamic model of fracture mechanics with bond-breaking

DOI10.1007/s10659-017-9661-2zbMath1395.74041OpenAlexW2775167958MaRDI QIDQ1782202

Yunzhe Tao, Xiaochuan Tian, Qiang Du

Publication date: 19 September 2018

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-017-9661-2

zbMATH Keywords

fracturewell-posednessenergy decaycrack propagationperidynamicsmemory effectnonlocal modelbond-breakingconvergence of numerical simulations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Brittle fracture (74R10) Integral operators (47G10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (18)

Numerical methods for nonlocal and fractional models ⋮ Free damage propagation with memory ⋮ A space-time discretization of a nonlinear peridynamic model on a 2D lamina ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ A meshfree peridynamic model for brittle fracture in randomly heterogeneous materials ⋮ A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models ⋮ Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials ⋮ A well‐posed parameter identification for nonlocal diffusion problems ⋮ A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes ⋮ Quasistatic Evolution with Unstable Forces ⋮ An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems ⋮ Nonlocal diffusion models with consistent local and fractional limits ⋮ On the peridynamic formulation for an orthotropic Mindlin plate under bending ⋮ Wellposedness of a nonlinear peridynamic model ⋮ Numerical methods for the nonlocal wave equation of the peridynamics ⋮ An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems ⋮ A conforming DG method for linear nonlocal models with integrable kernels ⋮ Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

Uses Software

• LAMMPS
• Peridigm

Cites Work

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