A short note on modeling damage in peridynamics

DOI10.1007/s10659-015-9550-5zbMath1334.35339OpenAlexW2274865601MaRDI QIDQ269933

Etienne Emmrich, Dimitri Puhst

Publication date: 6 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10659-015-9550-5

zbMATH Keywords

existencedamagenonlinear modelsnonlocal continuum mechanicsperidynamics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (12)

Free damage propagation with memory ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Continuum-kinematics-inspired peridynamics: thermo-mechanical problems ⋮ A well‐posed parameter identification for nonlocal diffusion problems ⋮ Quasistatic Evolution with Unstable Forces ⋮ Peridynamics review ⋮ The computational framework for continuum-kinematics-inspired peridynamics ⋮ Towards elasto-plastic continuum-kinematics-inspired peridynamics ⋮ A peridynamic model of fracture mechanics with bond-breaking ⋮ Quasistatic elastoplasticity via Peridynamics: existence and localization ⋮ Continuum-kinematics-inspired peridynamics. Mechanical problems ⋮ Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

Cites Work

• Unnamed Item
• Cohesive dynamics and brittle fracture
• Reformulation of elasticity theory for discontinuities and long-range forces
• Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function
• Peridynamics: A Nonlocal Continuum Theory
• Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics

This page was built for publication: A short note on modeling damage in peridynamics