We prove some relaxation results in the spirit of Anza Hafsa and Mandallena for integral functionals arising in the study of coherent thermochemical equilibria for multiphase solids. The energy density exhibits all explicit dependence oil the deformation gradient and oil a vector field representing the chemical composition. The deformation gradient satisfies a determinant type constraint and the chemical composition a constraint on the modulus.
Some relaxation results for functionals depending on constrained strain and chemical composition / Zappale, E; Zorgati, H. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 347:(2009), pp. 337-342.
Some relaxation results for functionals depending on constrained strain and chemical composition
ZAPPALE E
;
2009
Abstract
We prove some relaxation results in the spirit of Anza Hafsa and Mandallena for integral functionals arising in the study of coherent thermochemical equilibria for multiphase solids. The energy density exhibits all explicit dependence oil the deformation gradient and oil a vector field representing the chemical composition. The deformation gradient satisfies a determinant type constraint and the chemical composition a constraint on the modulus.| File | Dimensione | Formato | |
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