Sharma, Deepesh and Piska, Raghu and Rajagopal, Amirtham
(2017)
A Novel n-Sided Polygonal Finite Element Approach
for Analysis of Isotropic Plates.
In: International Conference on “Physics and Mechanics of New Materials and Their Applications” (PHENMA 2017), 14-16 October 2017, Jabalpur, India.
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Abstract
In this contribution, we present a novel polygonal finite element method applied to analysis of plates. For generating polygonal meshes in a bounded period of time, we use the adaptive polygonal finite element approach developed in [1]. The generation of meshes consisting of nsided polygonal finite elements is based on the generation of a Centroidal Voronoi Tessellation (CVT). An unstructured tessellation of a scattered point set, that minimally covers the proximal space around each point in the point set, is generated whereby the method also includes tessellation of nonconvex domains. In this work, we propose a region by adaptive polygonal element mesh region generation. For the numerical integration of the Galerkin weak form over polygonal finite element domains, we resort to classical Gaussian quadrature applied to triangular subdomains of each polygonal element. Numerical examples of two-dimensional plane elasticity problems and plate bending analysis using classical plate theory will be presented to demonstrate the efficiency of the proposed adaptive Poly-FEM.
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