Objective constitutive relations in elasticity and viscoelasticity

DOI10.1007/BF02128396zbMath0505.73001MaRDI QIDQ1836491

Franco Bampi, Angelo Morro

Publication date: 1982

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Cauchy stress is non-zero residual stresscompatibility between objectivity principle and affine constitutive equationsMaxwell-like materialsonly a constant tensor, proportional to identity tensorPiola-Kirchhoff stress linear function on deformation gradient

Mathematics Subject Classification ID

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 (1)

The Piola-Kirchhoff stress may depend linearly on the deformation gradient

Cites Work

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• On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
• Non-stationary thermodynamics and wave propagation in heat conducting viscous fluids

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