Bending analysis of mindlin-reissner plates by the element free galerkin method with penalty technique |
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Authors: | Yoo?Jin?Choi Email author" target="_blank">Seung?Jo?KimEmail author |
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Affiliation: | (1) Department of Aerospace Engineering, Seoul National University, 151-742 Seoul, Korea |
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Abstract: | In this work, a new penalty formulation is proposed for the analysis of Mindlin-Reissner plates by using the element-free
Galerkin method. A penalized weak form for the Mindlin-Reissner Plates is constructed through the exterior penalty method
to enforce the essential boundary conditions of rotations as well as transverse displacements. In the numerical examples,
some typical problems of Mindlin-Reissner plates are analyzed, and parametric studies on the order of integration and the
size of influence domain are also carried out. The effect of the types of background cells on the accuracy of numerical solutions
is observed and a proper type of background cell for obtaining optimal accuracy is suggested. Further, optimal order of integration
and basis order of Moving Least Squares approximation are suggested to efficiently handle the irregularly distributed nodes
through the triangular type of background cells. From the numerical tests, it is identified that unlike the finite element
method, the proposed element-free Galerkin method with penalty technique gives highly accurate solution without shear locking
in dealing with Mindlin-Reissner plates. |
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Keywords: | EFGM Meshfree Method Penalty Mindlin-Reissner Plate Shear Locking |
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