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Finite element method in plane Cosserat elasticity
Affiliation:1. Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China;2. College of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, Hunan, China
Abstract:A displacement and rotation based finite element method for the solution of boundary value problems in linear isotropic Cosserat elasticity is proposed. The field equations for the problem of plane strain are derived from the three-dimensional theory and expressed in oblique rectilinear coordinates. Three fundamental triangular finite elements are presented. A patch test for validating Cosserat finite element formulations is also introduced.
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