On a shock problem involving a nonlinear viscoelastic bar.
On an elasto-dynamic evolution equation with non dead load and friction
In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
On the frictionless unilateral contact of two viscoelastic bodies.
On the thermal aspect of dynamic contact problems
A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.
One-dimensional model describing the non-linear viscoelastic response of materials
In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.
Optimal control for a class of mechanical thermoviscoelastic frictional contact problems