THE SOLUTION OF A SIMPLIFIED NONLINEAR VISCOELASTIC MINDLIN–TIMOSHENKO THIN PLATE MODEL

Dávid Pancza

   It is shown that if the horizontal displacements compared to the vertical motion can be neglected, then the elastic part (with nonlinear terms) of the equations of the viscoelastic Mindlin-Timoshenko thin plate model is coercive, strictly monotone, demicontinuous and locally bounded. This allows to prove the existence and uniqueness of a weak solution of the system.

Keywords: viscoelastic material, Mindlin-Timoshenko thin plate model, demicontinuous monotone operator, Browder

[full-paper]