Objectivity of state-based peridynamic models for elasticity

DOI10.1007/s10659-017-9641-6zbMath1387.74013OpenAlexW2617748524MaRDI QIDQ1702856

Quang Van Le, Florin Bobaru

Publication date: 1 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10659-017-9641-6

zbMATH Keywords

elasticityobjectivitylarge rotationsperidynamicsvolume dilatationordinary state-based formulation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70) Energy minimization in equilibrium problems in solid mechanics (74G65) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Theories of fracture and damage (74A45)

Related Items

Hybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media, An extended peridynamic model equipped with a new bond-breakage criterion for mixed-mode fracture in rock-like materials, A bond-level energy-based peridynamics for mixed-mode fracture in rocks, A peridynamic-enhanced finite element method for thermo-hydro-mechanical coupled problems in saturated porous media involving cracks, An axisymmetric ordinary state-based peridynamic model for linear elastic solids, A comparison study on peridynamic models using irregular non-uniform spatial discretization, Elastodynamics of linearized isotropic state-based peridynamic media

Cites Work

• Force flux and the peridynamic stress tensor
• On the determination of a peridynamic constant in a linear constitutive model
• Linearized theory of peridynamic states
• Reformulation of elasticity theory for discontinuities and long-range forces
• Peridynamic states and constitutive modeling
• A morphing approach to couple state-based peridynamics with classical continuum mechanics
• Peridynamic Theory and Its Applications
• A constitutive model for a linearly elastic peridynamic body
• A two-dimensionalordinary, state-based peridynamic model for linearly elastic solids
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• New results in the theory of elasticity for two-dimensional composites
• Viscoplasticity using peridynamics
• Peridynamic State-Based Models and the Embedded-Atom Model