On some dynamic thermal non clamped contact problems

Samir Adly (1) , Oanh Chau (2)

1 XLIM-DMI - DMI
2 UR - Université de La Réunion

We study a class of dynamic thermal sub-differential contact problems with friction, for long memory visco-elastic materials, without the clamped condition, which can be put into a general model of system defined by a second order evolution inequality, coupled with a first order evolution equation. We present and establish an existence and uniqueness result, by using general results on first order evolution inequality, with monotone operators and fixed point methods. Finally a fully discrete scheme for numerical approximations is provided, and corresponding various numerical computations in dimension two will be given.

Mots clés: Long memory thermo-visco-elasticity; Non clamped condition; Sub-differential contact condition; Evolution inequality; Numerical simulations; Dynamic process; Fixed point

Domaines: Mécanique [physics.med-ph]

Samir Adly, Oanh Chau. On some dynamic thermal non clamped contact problems. Mathematical Programming, Series A, 2013, 139, pp.5-26. ⟨10.1007/s10107-013-0657-9⟩. ⟨hal-00907084⟩