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Symmetry 2010, 2, 1375-1389; doi:10.3390/sym2031375 OPEN ACCESS
 

Summary: Symmetry 2010, 2, 1375-1389; doi:10.3390/sym2031375
OPEN ACCESS
symmetry
ISSN 2073-8994
www.mdpi.com/journal/symmetry
Review
Symmetric Matrix Fields in the Finite Element Method
Gerard Awanou
Northern Illinois University, Department of Mathematical Sciences, Dekalb, IL, 60115, USA
E-Mail: awanou@math.niu.edu; Tel.: 1-815-753-6749; Fax: 1-815-753-1112
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
Classification: MSC Primary: 65N30, Secondary: 74S05

  

Source: Awanou, Gerard - Department of Mathematical Sciences, Northern Illinois University

 

Collections: Mathematics