Triangular 2D linked-interpolation finite elements for micropolar continuum
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Abstract
Triangular finite elements for linear micropolar continuum theory are developed using linked interpolation. In order to satisfy convergence criteria, the newly presented finite elements are modified using the Petrov-Galerkin method, which uses different interpolation for the test and trial functions. The elements are tested through several numerical examples consisting of a set of patch tests, and a stress concentration problem, and compared to the analytical solution and membrane micropolar finite elements with standard Lagrangian interpolation. All the presented elements faithfully reproduce the micropolar effects in the stress concentration analysis, but the enhancement is negligible with respect to standard Lagrangian elements.
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