The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress

DOI10.1007/BF00705801zbMath0799.73016MaRDI QIDQ1319376

Anne Hoger

Publication date: 13 November 1994

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

zbMATH Keywords

strain energyCauchy stress tensorpolynomial invariantsPiola-Kirchhoff stress tensorright stretch tensorresidual stress tensor

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (12)

Wave-propagation in an incompressible hollow elastic cylinder with residual stress ⋮ Extension, inflation and torsion of a residually stressed circular cylindrical tube ⋮ The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials ⋮ Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states ⋮ The elasticity tensor of a transversely isotropic hyperelastic material with residual stress ⋮ Residual stress and material symmetry ⋮ Reflection of plane waves from the boundary of an initially stressed incompressible half-space ⋮ Finite bending of a multilayered cylindrical nanosector with residual deformations ⋮ The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid ⋮ Finite element analysis and constitutive modelling of anisotropic nonlinear hyperelastic bodies with convected frames ⋮ Stability of plane Couette flow past an initially stressed solid ⋮ Compatibility and the genesis of residual stress by volumetric growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry relations for orthotropic and isotropic materials
• Further symmetry relations for transversely isotropic materials
• On the residual stress possible in an elastic body with material symmetry
• Material symmetry restrictions on non-polynomial constitutive equations
• On the stress in an internally constrained elastic material
• Residual stress in an elastic body: A theory for small strains and arbitrary rotations
• The elasticity tensor of a residually stressed material
• The dependence of the elasticity tensor on residual stress
• On the determination of residual stress in an elastic body
• Material symmetry restrictions on constitutive equations
• Material symmetry and thermostatic inequalities in finite elastic deformations
• Optimal ranking of tournaments

This page was built for publication: The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress