Geodesic
A Lower Semicontinuity Result in SBD
Journal of convex analysis, Tome 15 (2008) no. 1, pp. 191-2.

Voir la notice de l'article provenant de la source Heldermann Verlag

A lower semicontinuity result is proved in the space of special functions of bounded deformation for a fracture energetic model according to Barenblatt's theory, i.e. $$\int_{J_{u}} \varphi([u] \cdot \nu_{u})d {\cal H}^{N-1} \enspace, \enspace [u]\cdot \nu_u \geq 0 \enspace {\cal H}^{N-1} - \hbox{ a.e. on }J_u.$$
Classification : 49J45, 26B25, 26B30, 26D10, 39B62, 74A45, 74B20, 74R99
Mots-clés : Lower semicontinuity, fracture, special functions of bounded deformation, convexity, subadditivity 
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     title = {A {Lower} {Semicontinuity} {Result} in {SBD}},
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G. Gargiulo; E. Zappale. A Lower Semicontinuity Result in SBD. Journal of convex analysis, Tome 15 (2008) no. 1, pp. 191-2. http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a12/