Derivation of the Hellinger-Reissner Variational Form of the Linear Elasticity Equations, and a Finite Element Discretization

Authors

Bram Fouts, Portland State UniversityFollow

Document Type

Report

Publication Date

2018

Subjects

Elasticity -- Mathematical models, Finite element method, Vector analysis

Abstract

In this paper we are going to derive the linear elasticity equations in the Strong Form to the Hellinger Reissner Form. We find a suitable solution to solve our stress tensor. Then we will use finite element discretization from. We will run tests on a unit cube and multiple other shapes, which are described at the end. We view the different magnitudes of the displacement vector of each shape.

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Description

Presentations associated with the report are available below in the Additional Files.

Persistent Identifier

https://archives.pdx.edu/ds/psu/26230

Citation Details

Fouts, Bram, "Derivation of the Hellinger-Reissner Variational Form of the Linear Elasticity Equations, and a Finite Element Discretization" (2018). REU Final Reports. 7.
https://archives.pdx.edu/ds/psu/26230