TY - JOUR
T1 - Quasistatic evolution problems for linearly elastic-perfectly plastic materials
JF - Arch. Ration. Mech. Anal. 180 (2006) 237-291
Y1 - 2006
A1 - Gianni Dal Maso
A1 - Antonio DeSimone
A1 - Maria Giovanna Mora
AB - The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This provides a new approximation result for the solutions of the quasistatic evolution problem, which are shown to be absolutely continuous in time. Four equivalent formulations of the problem in rate form are derived. A strong formulation of the flow rule is obtained by introducing a precise definition of the stress on the singular set of the plastic strain.
UR - http://hdl.handle.net/1963/2129
U1 - 2114
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -