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EnglishWe 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. © 2009 Springer Science+Business Media B.V.
A Variational Justification of Linear Elasticity with Residual Stress / Paroni, Roberto; Tomassetti, Giuseppe. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 97:2(2009), pp. 189-206.
| Autori interni: | |
| Autori: | Paroni, Roberto; Tomassetti, Giuseppe |
| Titolo: | A Variational Justification of Linear Elasticity with Residual Stress |
| Anno del prodotto: | 2009 |
| Abstract: | 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. © 2009 Springer Science+Business Media B.V. |
| Digital Object Identifier (DOI): | 10.1007/s10659-009-9217-1 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11568/885778
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