The Use of Strain Energy to Quantify the Effect of Residual Stress on Mechanical Behavior

DOI10.1177/108128659800300405zbMath1001.74537OpenAlexW2145953640MaRDI QIDQ4528182

Byron E. Johnson, Anne Hoger

Publication date: 17 December 2002

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/108128659800300405

Mathematics Subject Classification ID

Elastic materials (74B99)

Related Items (9)

Wave-propagation in an incompressible hollow elastic cylinder with residual stress ⋮ Mixture theory for a thermoelasto-plastic porous solid considering fluid flow and internal mass exchange ⋮ Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states ⋮ Reflection of plane waves from the boundary of an initially stressed incompressible half-space ⋮ Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls ⋮ Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress ⋮ Bivariate Fourier-series-based prediction of surface residual stress fields using stresses of partial points ⋮ A covariant constitutive theory for anisotropic hyperelastic solids with initial strains ⋮ On the existence of elastic minimizers for initially stressed materials

Cites Work

• On the residual stress possible in an elastic body with material symmetry
• The dependence of the elasticity tensor on residual stress
• The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials
• An introduction to continuum mechanics
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber

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