A stress rate measure for finite elastic plastic deformations

DOI10.1007/BF01174289zbMath0771.73025OpenAlexW1976236026MaRDI QIDQ1802098

Zihui Xia, Fernand Ellyin

Publication date: 30 September 1993

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01174289

zbMATH Keywords

spinJaumann ratestress rateshypoelastickinematically hardening solidsmaterial triadrigid plasticunconstrained shear

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) 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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On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes, Logarithmic strain, logarithmic spin and logarithmic rate, Calculations of large nonisothermal deformations of elastoviscoplastic materials, Elastoplasticity beyond small deformations, Analytical perturbation solution for large simple shear problems in elastic-perfect plasticity with the logarithmic stress rate, Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity

Cites Work

• On the analysis of rotation and stress rate in deforming bodies
• New universal relations for nonlinear isotropic elastic materials
• A general theory of an elastic-plastic continuum
• Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity
• An elementary discussion of definitions of stress rate
• Analysis of large-strain shear in rate-dependent face-centred cubic polycrystals: correlation of micro- and macromechanics
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