We provide some lower semicontinuity results in the space of special functions of bounded deformation for energies of the type $int_{∫J_u} heta(u^+,u^−,mu)d{mathcal H}^{N−1}, [u]cdot mugeq 0 ; {mathcal H}^{N−1}$-a.e.on $J_u$, and give some examples and applications to minimum problems, arising in Fracture Mechanics for linearly elastic materials.
Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems / Giuliano, Gargiulo; Zappale, Elvira. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 1099-1476. - Volume 34, Issue 12:(2011), pp. 1541-1552. [10.1002.mma/1464]
Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems
ZAPPALE, ELVIRA
2011
Abstract
We provide some lower semicontinuity results in the space of special functions of bounded deformation for energies of the type $int_{∫J_u} heta(u^+,u^−,mu)d{mathcal H}^{N−1}, [u]cdot mugeq 0 ; {mathcal H}^{N−1}$-a.e.on $J_u$, and give some examples and applications to minimum problems, arising in Fracture Mechanics for linearly elastic materials.File allegati a questo prodotto
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