Analytical solutions to large deformation contact problems

作者：Chamberland Eric^*; Fortin Andre; Tardieu Nicolas

来源：Mecanique & Industries, 2010, 11(3-4): 271-276.

DOI：10.1051/meca/2010032

• Manufactured solutions
• analytical solutions
• unilateral contact
• large deformations
• quadratic finite-elements

Analytical solutions to large deformation contact problems. It is essential for an engineer to verify the exactitude of the numerical tools he is using, as it is his duty to ensure that they give the expected solution to a given problem. In a finite-element code, this can be achieved by using analytical solutions when they exist, or by the method of manufactured solutions (MMS). In this work, we propose to extend the MMS to large deformation unilateral contact problems for which, to our knowledge, there exists no simple analytical solutions. We will show how this method can be a very efficient verification tool for the engineer. We will also study the precision and convergence order of different choices of mixed spaces (displacement-contact pressure), on triangular and quadrangular elements.

• 出版日期2010-8