Elastoplastic theory of finite deformation and its solution method for non-ordinary state-based peridynamics

DOI10.1007/s11012-022-01600-xzbMath1526.74011OpenAlexW4307103218MaRDI QIDQ6171414

Xiaolong Li, Pan Li, Zhi-ming Hao, Hong-xiang Li, Ding-guo Zhang

Publication date: 11 August 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-022-01600-x

zbMATH Keywords

associated flow rulevon Mises yield criterionJaumann stress ratebar neckingisotropic hardening ruleAlmansi strain raterod tensile deformationupdated Lagrange method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Theory of constitutive functions in solid mechanics (74A20) Numerical and other methods in solid mechanics (74S99) Peridynamics (74A70)

Cites Work

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• The total and updated Lagrangian formulations of state-based peridynamics
• Non-ordinary state-based peridynamic analysis of stationary crack problems
• Peridynamic modeling of membranes and fibers
• An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis
• A semi-Lagrangian constitutive correspondence framework for peridynamics
• Peridynamic states and constitutive modeling
• An approach for incorporating classical continuum damage models in state-based peridynamics
• Viscoplasticity using peridynamics

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