Geodesic
Collisions and fractures: a model in $SBD$
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 1, pp. 47-57

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We investigate collisions (assumed to be instantaneous) and fractures of three-dimensional solids. Equations of motion and constitutive laws provide a set of partial differential equations, whose corresponding variational problem may be solved in the space of special functions with bounded deformations ($SBD$), exploiting the direct method of calculus of variations. 
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     author = {Bonetti, Elena and Fr\'emond, Michel},
     title = {Collisions and fractures: a model in $SBD$},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {47--57},
     publisher = {mathdoc},
     volume = {Ser. 9, 15},
     number = {1},
     year = {2004},
     zbl = {1072.74004},
     mrnumber = {MR2102749},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a4/}
}
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Bonetti, Elena; Frémond, Michel. Collisions and fractures: a model in $SBD$. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 1, pp. 47-57. http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_1_a4/