%0 Journal Article
%J SIAM Journal on Mathematical Analysis 44, nr. 1 (2012) 245-292
%D 2012
%T Quasistatic evolution in non-associative plasticity - the cap models
%A Jean-Francois Babadjian
%A Gilles A. Francfort
%A Maria Giovanna Mora
%K Elasto-plasticity
%X Non-associative elasto-plasticity is the working model of plasticity for soil and rocks mechanics. Yet, it is usually viewed as non-variational. In this work, we prove a contrario the existence of a variational evolution for such a model under a natural capping assumption on the hydrostatic stresses and a less natural mollification of the stress admissibility constraint. The obtained elasto-plastic evolution is expressed for times that are conveniently rescaled.
%B SIAM Journal on Mathematical Analysis 44, nr. 1 (2012) 245-292
%I SIAM
%G en
%U http://hdl.handle.net/1963/4139
%1 3879
%2 Mathematics
%3 Functional Analysis and Applications
%4 -1
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2011-09-15T12:13:15Z
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%R 10.1137/110823511
%0 Journal Article
%J Arch. Ration. Mech. Anal. 176 (2005) 165-225
%D 2005
%T Quasistatic Crack Growth in Nonlinear Elasticity
%A Gianni Dal Maso
%A Gilles A. Francfort
%A Rodica Toader
%X In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of $n$-dimensional finite elasticity, for an arbitrary $n\\\\ge1$, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.
%B Arch. Ration. Mech. Anal. 176 (2005) 165-225
%G en_US
%U http://hdl.handle.net/1963/2293
%1 1723
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-24T09:12:09Z\\nNo. of bitstreams: 1\\n0401196v1.pdf: 664295 bytes, checksum: cb1000c44e6ae356984e24b55ee97117 (MD5)
%R 10.1007/s00205-004-0351-4
%0 Journal Article
%J Quad. Mat. Dip. Mat. Seconda Univ. Napoli 14 (2004) 245-266
%D 2004
%T Quasi-static evolution in brittle fracture: the case of bounded solutions
%A Gianni Dal Maso
%A Gilles A. Francfort
%A Rodica Toader
%X The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex elastic energy, are presented here under the simplifying assumption that the minimizing sequences involved in the problem are uniformly bounded in $L^\\\\infty$.
%B Quad. Mat. Dip. Mat. Seconda Univ. Napoli 14 (2004) 245-266
%G en_US
%U http://hdl.handle.net/1963/2229
%1 2015
%2 Mathematics
%3 Functional Analysis and Applications
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