A nonlocal plasticity formulation for the material point method

DOI10.1016/j.cma.2012.03.007zbMath1253.74021OpenAlexW2108868669MaRDI QIDQ695872

Jeff Burghardt, Rebecca M. Brannon, James Guilkey

Publication date: 17 December 2012

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.2012.03.007

zbMATH Keywords

integral equationsfixed-point iterationlocalizationnonlocal plasticitymaterial point method

Mathematics Subject Classification ID

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

Related Items (4)

An efficient contact algorithm for the interaction of material particles with finite elements ⋮ Regularized finite element modeling of progressive failure in soils within nonlocal softening plasticity ⋮ Mesh objective simulations of large strain ductile fracture: a new nonlocal Johnson-cook damage formulation for the total Lagrangian material point method ⋮ Shear band evolution and post-failure simulation by the extended material point method (XMPM) with localization detection and frictional self-contact

Uses Software

• Uintah

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison of integral-type nonlocal plasticity models for strain-softening materials
• Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework
• Implicit dynamics in the material-point method
• An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
• Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture
• A finite element method for localized failure analysis
• Strain-softening bar and beam: Exact non-local solution
• On nonlocal plasticity
• Computational inelasticity
• FE-formulation of a nonlocal plasticity theory
• Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour.
• A particle method for history-dependent materials
• Spectral analysis of localization in nonlocal and over-nonlocal materials with softening plasticity or damage
• A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
• An energy-consistent material-point method for dynamic finite deformation plasticity
• Non-local yield limit degradation
• Gradient-dependent plasticity: Formulation and algorithmic aspects
• Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method
• Iterative Solution of Nonlinear Equations in Several Variables
• A critical comparison of nonlocal and gradient-enhanced softening continua

This page was built for publication: A nonlocal plasticity formulation for the material point method