Residual stress in an elastic body: A theory for small strains and arbitrary rotations

DOI10.1007/BF00041621zbMath0811.73018MaRDI QIDQ1261880

Anne Hoger

Publication date: 5 September 1993

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

zbMATH Keywords

stress response

Mathematics Subject Classification ID

Elastic materials (74B99)

Related Items (15)

Wave-propagation in an incompressible hollow elastic cylinder with residual stress ⋮ Reconstruction of the residual stresses in a hyperelastic body using ultrasound techniques ⋮ Reconstruction of nonuniform residual stress for soft hyperelastic tissue via inverse spectral techniques ⋮ Elastic theory of unconstrained non-Euclidean plates ⋮ Mathematical Modeling of Morphogenesis in Living Materials ⋮ The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials ⋮ The elasticity tensor of a transversely isotropic hyperelastic material with residual stress ⋮ Reflection of plane waves from the boundary of an initially stressed incompressible half-space ⋮ A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS ⋮ Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress ⋮ Positive definiteness of the elasticity tensor of a residually stressed material ⋮ 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 ⋮ A study of the residual stress induced by shot peening for an isotropic material based on prager's yield criterion for combined stresses

Cites Work

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• A coordinate-free approach to the kinematics of membranes
• Towards an acoustoelastic theory for measurement of residual stress
• On the stress in an internally constrained elastic material
• An introduction to continuum mechanics
• A Consistent Theory for Elastic Deformations With Small Strains

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