On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials

DOI10.1016/0020-7683(80)90020-7zbMath0433.73004OpenAlexW2000129267MaRDI QIDQ1139392

William O. Williams, Ion Suliciu, Morton E. Gurtin

Publication date: 1980

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(80)90020-7

zbMATH Keywords

rate-type constitutive equationsenergy of viscoelastic and viscoplastic materialshypoelastic behavior under retardations of time scalerate- independent plastic behavior under accelerations of time scaleuncountable infinity of free energiesunique free energy

Mathematics Subject Classification ID

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

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Vanishing Relaxation Limit of Viscoelasticity ⋮ Energy estimates in one-dimensional rate-type viscoplasticity ⋮ Phase mixtures in dynamics of pseudoelasticity ⋮ A nonlocal rate-type viscoplastic approach to patterning of deformation ⋮ Energy for hypoelastic constitutive equations ⋮ Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs ⋮ Convex and non-convex energy in three-dimensional rate-type semilinear viscoelasticity ⋮ Energy estimates in three-dimensional rate-type semilinear viscoelasticity with non-convex free energy ⋮ On the thermodynamics of rate-type fluids and phase transitions. I: Rate-type fluids ⋮ Shock structure in viscoelasticity of relaxation type ⋮ Formulation of viscoplasticity laws using overstresses ⋮ A thermodynamic approach to rate-type models of elastic-plastic materials ⋮ Creep damage modelling for quasi-brittle materials

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