On the numerical treatment of finite deformations in elastoviscoplasticity

DOI10.1016/S0045-7825(96)01163-2zbMath0892.73065OpenAlexW2054337973WikidataQ127206545 ScholiaQ127206545MaRDI QIDQ1370732

Stefan Hartmann, Georg Lührs, Peter Haupt

Publication date: 3 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01163-2

zbMATH Keywords

inelastic incompressibilityArmstrong-Frederick termsfinite element program PSUGauß pointsmeta forming technologystress algorithm

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

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Cites Work

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• Remarks on rate constitutive equations for finite deformation problems: Computational implications
• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
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• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
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• On the application of dual variables in continuum mechanics
• Two material models for cyclic plasticity: Nonlinear kinematic hardening and generalized plasticity
• An implicit integration algorithm with a projection method for viscoplastic constitutive equations
• Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problem
• An analysis of a new class of integration algorithms for elastoplastic constitutive relations
• Stress computation and consistent tangent operator using non‐linear kinematic hardening models
• A Finite Deformation Theory of Viscoplasticity Based on Overstress: Part II—Finite Element Implementation and Numerical Experiments
• Elastic-Plastic Deformation at Finite Strains

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