Journal
JOURNAL OF ELASTICITY
Volume 97, Issue 2, Pages 189-206Publisher
SPRINGER
DOI: 10.1007/s10659-009-9217-1
Keywords
Residual stress; Nonlinear elasticity; Gamma-convergence
Funding
- Italian INdAM-GNFM
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We consider a residually-stressed, uniform hyperelastic body whose stored energy is quadratic with respect to the Green-St. Venant strain. We show that, in the limit of vanishing loads, suitable minimizing sequences converge to the unique minimizer of the energy functional of linear elasticity. We also deduce the standard stress-strain relations for linear elasticity with residual stress.
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