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

DOI10.1007/BF00043023zbMath0603.73035OpenAlexW2017223257MaRDI QIDQ1082865

P. Podio-Guidugli

Publication date: 1987

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00043023

zbMATH Keywords

deformation gradientresponse functionPiola-Kirchhoff stressexplicit representation formulagenuinely linearresidual stress does not vanish

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items

From nonlinear elasticity to linearized theory: examples defying intuition ⋮ On dissipation induced by phase transformations ⋮ Symmetry properties of two-dimensional Ciarlet-Mooney-Rivlin constitutive models in nonlinear elastodynamics ⋮ Linear equations of motion in finite elasticity ⋮ A reexamination of some puzzling results in linearized elasticity

Cites Work

• On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
• Objective constitutive relations in elasticity and viscoelasticity