Elasticity of initially stressed bodies with voids. Weak solutions
Existence for problems of viscoplastic contact with Coulomb friction.
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of , is equivalent to finding the critical points...
Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions
Existence results for unilateral quasistatic contact problems with friction and adhesion
Existence Results for Unilateral Quasistatic Contact Problems With Friction and Adhesion
We consider a two dimensional elastic body submitted to unilateral contact conditions, local friction and adhesion on a part of his boundary. After discretizing the variational formulation with respect to time we use a smoothing technique to approximate the friction term by an auxiliary problem. A shifting technique enables us to obtain the existence of incremental solutions with bounds independent of the regularization parameter. We finally obtain the existence of a quasistatic solution...
Existence theorem for nonlinear micropolar elasticity
In this paper we give an existence theorem for the equilibrium problem for nonlinear micropolar elastic body. We consider the problem in its minimization formulation and apply the direct methods of the calculus of variations. As the main step towards the existence theorem, under some conditions, we prove the equivalence of the sequential weak lower semicontinuity of the total energy and the quasiconvexity, in some variables, of the stored energy function.