Abstract
A microstructure-based finite element analysis is presented in this paper for the mechanical response of two dimensional heterogeneous materials with randomly dispersed inclusions. A special n-sided polygonal element containing an elastic inclusion is developed on the basis of the Hellinger-Reissner principle and the hybrid finite element method. The element formulations are derived by decomposing the original problem into inclusion and matrix problems and relating each other through consistency conditions at their interface. For circular inclusions, the proposed method is verified against simple analytical solutions and shown to be suitable even for extreme cases such as porous materials and materials with rigid inclusions. It is also demonstrated that the number of degrees of freedom necessary to obtain accurate results can be significantly reduced by using the proposed method. The effect of random distributions of inclusions on local stress concentration factors can also be easily evaluated using the proposed method.
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© 1996 Springer Science+Business Media Dordrecht
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Zhang, J., Katsube, N. (1996). Microstructure-Based Finite Element Analysis of Heterogeneous Media. In: Selvadurai, A.P.S. (eds) Mechanics of Poroelastic Media. Solid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8698-6_6
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DOI: https://doi.org/10.1007/978-94-015-8698-6_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4513-3
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