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Symmetric Matrix Fields in the Finite Element Method
Northern Illinois University, Department of Mathematical Sciences, Dekalb, IL, 60115, USA
Received: 1 April 2010; in revised form: 3 June 2010 / Accepted: 30 June 2010 / Published: 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
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Cite This Article
MDPI and ACS Style
Awanou, G. Symmetric Matrix Fields in the Finite Element Method. Symmetry 2010, 2, 1375-1389.
Awanou G. Symmetric Matrix Fields in the Finite Element Method. Symmetry. 2010; 2(3):1375-1389.
Awanou, Gerard. 2010. "Symmetric Matrix Fields in the Finite Element Method." Symmetry 2, no. 3: 1375-1389.