Application of a coordinate-free tensor formalism to the numerical implementation of a material model

DOI10.1002/zamm.200800017zbMath1153.53012OpenAlexW2134067396MaRDI QIDQ3541277

Alexey V. Shutov, Reiner Kreißig

Publication date: 25 November 2008

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200800017

zbMATH Keywords

time-stepping schemecoordinate-free formalismmaterial modelinganalytical linearizationclassical tensor analysisviscoplasticity.

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20)

Related Items (7)

Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors ⋮ Geometric integrators for multiplicative viscoplasticity: analysis of error accumulation ⋮ An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors ⋮ A phenomenological model of finite strain viscoplasticity with distortional hardening ⋮ Extending uniaxial material laws to multiaxial constitutive relations: H-approach ⋮ Efficient implicit integration for finite-strain viscoplasticity with a nested multiplicative split

Cites Work

• Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration
• Objective tensor rates and applications in formulation of hyperelastic relations
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