Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model

作者：Bernardi Christine; Copetti Maria Ines M^*

来源：ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 2017, 97(5): 532-549.

DOI：10.1002/zamm.201500193

• Beam model
• finite element discretization

We consider a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a discretization by Euler and Crank-Nicolson schemes in time and finite elements in space and perform the a priori analysis of the discrete problem. Some numerical experiments are presented.

• 出版日期2017-5