A large deformation anisotropic thermoviscoplastic constitutive model

DOI10.1007/BF01267979zbMath0554.73037OpenAlexW2044433243MaRDI QIDQ760244

David W. Nicholson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01267979

zbMATH Keywords

entropytemperatureflowGibbs free energyinternal energyretardation timeHelmholtz free energythreshold energyenthalpyelastic strainanisotropic large deformation thermoviscoplastic constitutive modeldecomposed total straindissipative processdriving energyflow strainfunctions of the state variablesLagrangian treatmentThermodynamic state functions

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (2)

On a stability criterion in non-associated viscoplasticity ⋮ Two-stage temperature rise in a thermoviscoplastic half-plane under impact

Cites Work

• An examination of four viscoplastic constitutive theories in uniaxial monotonic loading
• A work-hardening rule for finite elastic-plastic deformation of metals at elevated temperatures
• A theory of viscoplasticity
• On constitutive inequalities for simple materials. I
• Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity
• The constitutive equations for rate sensitive plastic materials
• Elastic-Plastic Deformation at Finite Strains

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