Accurate numerical integration of Drucker-Prager's constitutive equations

DOI10.1007/BF01461438zbMath0820.73023WikidataQ59783296 ScholiaQ59783296MaRDI QIDQ1342169

Anna Pandolfi, Francesco Genna

Publication date: 17 September 1995

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

singular pointassociated flow rulegeneral two-step integration schemelinear mixed hardeningrate plasticity equationstangent predictor-radial return methodtolerance parametervector-valued yield functionsvon Mises equations

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Dynamical problems in solid mechanics (74H99)

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Associated computational plasticity schemes for nonassociated frictional materials ⋮ A linear complementarity formulation of rate-independent finite-strain elastoplasticity. Part I: Algorithm for numerical integration ⋮ Exponential-based integration for Bigoni-Piccolroaz plasticity model ⋮ Accurate and approximate integrations of Drucker-Prager plasticity with linear isotropic and kinematic hardening ⋮ A novel formulation for integrating nonlinear kinematic hardening Drucker-Prager's yield condition ⋮ A semi-analytical integration method for \(J_2\) flow theory of plasticity with linear isotropic hardening ⋮ Computational plasticity of mixed hardening pressure-dependency constitutive equations ⋮ Computational methods for elastoplasticity: an overview of conventional and \textit{less-conventional} approaches ⋮ Stress-update algorithms for Bigoni-Piccolroaz yield criterion coupled with a generalized function of kinematic hardening laws

Uses Software

• ABAQUS

Cites Work

• Accurate numerical solutions for Drucker-Prager elastic-plastic models
• A numerical scheme for integrating the rate plasticity equations with an a priori error control
• A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors
• A note on the accuracy of stress-point algorithms for anisotropic elastic-plastic solids
• Integration of plasticity equations for the case of Ziegler's kinematic hardening
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