The elasticity tensor of a transversely isotropic hyperelastic material with residual stress

DOI10.1007/BF00040956zbMath0868.73020MaRDI QIDQ1918352

Anne Hoger

Publication date: 31 July 1996

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

zbMATH Keywords

material symmetry

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (7)

Mathematical Modeling of Morphogenesis in Living Materials ⋮ The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials ⋮ Remarks on cavity formation in fiber-reinforced incompressible nonlinearly elastic solids ⋮ The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid ⋮ Energy flux and dissipation in pre-stressed solids ⋮ Stability of plane Couette flow past an initially stressed solid ⋮ Autoparallel curves and Riemannian geodesics for materially uniform but inhomogeneous bodies

Cites Work

• Unnamed Item
• Unnamed Item
• Symmetry relations for orthotropic and isotropic materials
• On the residual stress possible in an elastic body with material symmetry
• Towards an acoustoelastic theory for measurement of residual stress
• 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 constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress
• The dependence of the elasticity tensor on residual stress
• Positive definiteness of the elasticity tensor of a residually stressed material
• On the traction problem of dead loading in linear elasticity with initial stress
• On the determination of residual stress in an elastic body
• An introduction to continuum mechanics
• Material symmetry restrictions on constitutive equations
• Integrity bases for N symmetric second order tensors. The crystal classes
• Material symmetry and thermostatic inequalities in finite elastic deformations
• Optimal ranking of tournaments
• A Correlation Study of Formulations of Incremental Deformation and Stability of Continuous Bodies
• General theory of small elastic deformations superposed on finite elastic deformations

This page was built for publication: The elasticity tensor of a transversely isotropic hyperelastic material with residual stress