Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
Numerical Analysis
2025-02-04 v1 Numerical Analysis
Abstract
We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance.
Keywords
Cite
@article{arxiv.2502.00609,
title = {Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity},
author = {Carsten Carstensen and Norbert Heuer},
journal= {arXiv preprint arXiv:2502.00609},
year = {2025}
}