Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915310 | Computer Methods in Applied Mechanics and Engineering | 2018 | 18 Pages |
Abstract
The mixed finite element method is a promising approach in order to overcome locking phenomena of classical displacement based finite elements in the (nearly) incompressible regime for the elasticity problem. In this work we present a novel element based on Hellinger-Reissner's principle for linear elasticity. Essential for the construction of the element is a restriction of the solution space for the stresses, resulting in a formulation with displacements in H1(B)
and stresses in H(div,B). The symmetry of the stresses is achieved in a weak sense, without the necessity of additional degrees of freedom. This formulation leads for the case of lowest order interpolation to a very efficient and robust finite element, even satisfying the numerical inf-sup test in two and three dimensions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Nils Viebahn, Karl Steeger, Jörg Schröder,