We consider a initially stressed hyperelastic body in equilibrium in its undeformed configuration under a system of dead loads. We give sufficient conditions on the stored energy which guarantee that when the loads undergo a small perturbation, the energy functional converges, after some re-scaling, to the energy functional of linear elasticity with initial stress. We also show, under stronger conditions, that quasi-minimizers of the non-linear problem converge to a minimizer of the incremental problem.

Paroni, R., Tomassetti, G. (2011). From non-linear elasticity to linear elasticity with initial stress via Γ-convergence. CONTINUUM MECHANICS AND THERMODYNAMICS, 23(4), 347-361 [10.1007/s00161-011-0184-y].

From non-linear elasticity to linear elasticity with initial stress via Γ-convergence.

TOMASSETTI, GIUSEPPE
2011-01-01

Abstract

We consider a initially stressed hyperelastic body in equilibrium in its undeformed configuration under a system of dead loads. We give sufficient conditions on the stored energy which guarantee that when the loads undergo a small perturbation, the energy functional converges, after some re-scaling, to the energy functional of linear elasticity with initial stress. We also show, under stronger conditions, that quasi-minimizers of the non-linear problem converge to a minimizer of the incremental problem.
2011
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
Initial stress; Incremental elasticity
Paroni, R., Tomassetti, G. (2011). From non-linear elasticity to linear elasticity with initial stress via Γ-convergence. CONTINUUM MECHANICS AND THERMODYNAMICS, 23(4), 347-361 [10.1007/s00161-011-0184-y].
Paroni, R; Tomassetti, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/100347
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