A polygonal element approach to random heterogeneous media with rigid ellipses or elliptical voids

A hybrid polygonal element method is proposed for the micromechanical analysis of heterogeneous materials with randomly distributed rigid ellipses or elliptical voids. An arbitrarily-shaped n-sided polygonal mesh is used to discretize a random heterogeneous medium. The conformal mapping technique is...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 1997-09, Vol.148 (3), p.225-234
Main Authors: Zhang, J., Katsube, N.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:A hybrid polygonal element method is proposed for the micromechanical analysis of heterogeneous materials with randomly distributed rigid ellipses or elliptical voids. An arbitrarily-shaped n-sided polygonal mesh is used to discretize a random heterogeneous medium. The conformal mapping technique is employed to construct special shape functions for a polygonal super-element containing an elliptical inclusion. The performance of the developed polygonal super-element is verified against analytical solutions. As in the case of circular inclusion, one polygonal super-element containing an elliptical inclusion replaces many traditional displacement-based elements without sacrificing numerical accuracy. The versatility of the polygonal element method is demonstrated by applying the method to a random heterogeneous cantilever beam problem.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(97)00062-5