A peridynamic model for plasticity: micro-inertia based flow rule, entropy equivalence and localization residuals

DOI10.1016/J.CMA.2017.07.034zbMath1439.74075OpenAlexW2749626299MaRDI QIDQ2310110

Debasish Roy, J. N. Reddy, Md Masiur Rahaman, Pranesh Roy

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.07.034

zbMATH Keywords

numerical resultsmicro-inertiastate-based peridynamicsconstitutive correspondenceentropy production equivalencelocalization residual

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10)

Related Items (7)

A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ An electromechanical micropolar peridynamic model ⋮ Peridynamic modeling of elastic-plastic ductile fracture ⋮ The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method ⋮ Towards elasto-plastic continuum-kinematics-inspired peridynamics ⋮ A thermodynamically consistent peridynamics model for visco-plasticity and damage ⋮ A modified axisymmetric ordinary state-based peridynamics with shear deformation for elastic and fracture problems in brittle solids

Cites Work

• Non-ordinary state-based peridynamic analysis of stationary crack problems
• Convergence of peridynamics to classical elasticity theory
• Smoothed particle hydrodynamics stability analysis
• On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
• The physics of plastic deformation
• Reformulation of elasticity theory for discontinuities and long-range forces
• Peridynamic states and constitutive modeling
• An approach for incorporating classical continuum damage models in state-based peridynamics
• On the thermodynamics of system with nonlocality
• Nonlocal continuum mechanics
• Theory and numerics of ductile micropolar elastoplastic damage

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