An approach for incorporating classical continuum damage models in state-based peridynamics

DOI10.1016/j.cma.2013.04.012zbMath1286.74022OpenAlexW1993403100MaRDI QIDQ2449953

Julian J. Rimoli, Michael R. Tupek, R. A. Radovitzky

Publication date: 13 May 2014

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

Full work available at URL: http://hdl.handle.net/1721.1/108095

zbMATH Keywords

particle methodsperidynamicsdamage modeling

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Nonlinear elasticity (74B20) Brittle fracture (74R10) Theories of fracture and damage (74A45)

Related Items (30)

A modified conjugated bond-based peridynamic analysis for impact failure of concrete gravity dam ⋮ Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture ⋮ Characterization of function spaces of vector fields and an application in nonlinear peridynamics ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations ⋮ A morphing approach to couple state-based peridynamics with classical continuum mechanics ⋮ An improved stabilized peridynamic correspondence material model for the crack propagation of nearly incompressible hyperelastic materials ⋮ A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids ⋮ Elastoplastic theory of finite deformation and its solution method for non-ordinary state-based peridynamics ⋮ A semi-Lagrangian constitutive correspondence framework for peridynamics ⋮ A dissipation informed peridynamic model for dynamic brittle fracture ⋮ Non-ordinary state-based peridynamic analysis of stationary crack problems ⋮ The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method ⋮ A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process ⋮ Kinematic constraints in the state-based peridynamics with mixed local/nonlocal gradient approximations ⋮ An axisymmetric ordinary state-based peridynamic model for linear elastic solids ⋮ Convergence studies in meshfree peridynamic simulations ⋮ A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves ⋮ Formulation of symmetry boundary modeling in non-ordinary state-based peridynamics and coupling with finite element analysis ⋮ A meshfree unification: reproducing kernel peridynamics ⋮ An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures ⋮ A fast collocation method for a static bond-based linear peridynamic model ⋮ On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models ⋮ A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads ⋮ A peridynamic model for plasticity: micro-inertia based flow rule, entropy equivalence and localization residuals ⋮ A coupling approach of state-based peridynamics with node-based smoothed finite element method ⋮ A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics ⋮ A modified axisymmetric ordinary state-based peridynamics with shear deformation for elastic and fracture problems in brittle solids ⋮ A higher-order stress point method for non-ordinary state-based peridynamics ⋮ Temporally stabilized peridynamics methods for shocks in solids

Cites Work

• Application of extended Mohr-Coulomb criterion to ductile fracture
• Prediction of crack paths in a quenched glass plate by using peridynamic theory
• Implementing peridynamics within a molecular dynamics code
• Peridynamic modeling of membranes and fibers
• Studies of dynamic crack propagation and crack branching with peridynamics
• Crack nucleation in a peridynamic solid
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Adaptive Lagrangian modelling of ballistic penetration of metallic targets
• Nodal integration of the element-free Galerkin method
• Error estimation and adaptive meshing in strongly nonlinear dynamic problems
• The variational formulation of viscoplastic constitutive updates
• Reformulation of elasticity theory for discontinuities and long-range forces
• Peridynamic states and constitutive modeling
• A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids
• Modification of the Gurson model for shear failure
• Optimal transportation meshfree approximation schemes for fluid and plastic flows
• A Pre´cis of Developments in Computational Methods for Transient Analysis
• A unified stability analysis of meshless particle methods
• Unified and mixed formulation of the 4‐node quadrilateral elements by assumed strain method: Application to thermomechanical problems
• Viscoplasticity using peridynamics

This page was built for publication: An approach for incorporating classical continuum damage models in state-based peridynamics