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Symmetry 2010, 2(3), 1375-1389; doi:10.3390/sym2031375

Symmetric Matrix Fields in the Finite Element Method

Northern Illinois University, Department of Mathematical Sciences, Dekalb, IL, 60115, USA
Received: 1 April 2010 / Revised: 3 June 2010 / Accepted: 30 June 2010 / Published: 6 July 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
Download PDF [148 KB, uploaded 6 July 2010]

Abstract

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.
Keywords: symmetry; mixed method; finite element; linear elasticity symmetry; mixed method; finite element; linear elasticity
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Awanou, G. Symmetric Matrix Fields in the Finite Element Method. Symmetry 2010, 2, 1375-1389.

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