Symmetric Matrix Fields in the Finite Element Method

Symmetry

关键词: symmetry;    mixed method;    finite element;    linear elasticity;   

DOI  :  10.3390/sym2031375

来源: mdpi

【 摘 要 】

The theory of elasticity is used to predict the response of a material body subject to applied forces. In the linear theory, where the displacement is small, the stress tensor which measures the internal forces is the variable of primal importance. However the symmetry of the stress tensor which expresses the conservation of angular momentum had been a challenge for finite element computations. We review in this paper approaches based on mixed finite element methods.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.