TY - JOUR
T1 - Quasistatic evolution in non-associative plasticity - the cap models
JF - SIAM Journal on Mathematical Analysis 44, nr. 1 (2012) 245-292
Y1 - 2012
A1 - Jean-Francois Babadjian
A1 - Gilles A. Francfort
A1 - Maria Giovanna Mora
KW - Elasto-plasticity
AB - 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.
PB - SIAM
UR - http://hdl.handle.net/1963/4139
U1 - 3879
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -
TY - JOUR
T1 - Quasistatic Crack Growth in Nonlinear Elasticity
JF - Arch. Ration. Mech. Anal. 176 (2005) 165-225
Y1 - 2005
A1 - Gianni Dal Maso
A1 - Gilles A. Francfort
A1 - Rodica Toader
AB - 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.
UR - http://hdl.handle.net/1963/2293
U1 - 1723
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Quasi-static evolution in brittle fracture: the case of bounded solutions
JF - Quad. Mat. Dip. Mat. Seconda Univ. Napoli 14 (2004) 245-266
Y1 - 2004
A1 - Gianni Dal Maso
A1 - Gilles A. Francfort
A1 - Rodica Toader
AB - 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 $L^\\\\infty$.
UR - http://hdl.handle.net/1963/2229
U1 - 2015
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -