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Numerical Characterization of Porous Solids and Performance Evaluation of Theoretical Models via the Precorrected-FFT Accelerated BEM

Z. Y. Yan1,2, J. Zhang1, W. Ye1, T.X. Yu1
Department of Mechanical Engineering, Hong Kong University of Science and Technology
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics

Computer Modeling in Engineering & Sciences 2010, 55(1), 33-60. https://doi.org/10.3970/cmes.2010.055.033

Abstract

An 3-D precorrected-FFT accelerated BEM approach for the linear elastic analysis of porous solids with randomly distributed pores of arbitrary shape and size is described in this paper. Both the upper bound and the lower bound of elastic properties of solids with spherical pores are obtained using the developed fast BEM code. Effects of porosity and pore shape on the elastic properties are investigated. The performance of several theoretical models is evaluated by comparing the theoretical predictions with the numerical results. It is found that for porous solids with spherical pores, the performances of the generalized self-consistent method and Mori-Tanaka method are comparable and are much better than that of the self-consistent method and the differential scheme. In particular, the generalized self-consistent method gives the best approximations to three elastic moduli while Mori-Tanaka method agrees particularly well with the numerical value of Poisson's ratio.

Keywords

Boundary element method, pFFT acceleration technique, porous material, elastostatics, random distribution

Cite This Article

Yan, Z. Y., Zhang, J., Ye, W., Yu, T. (2010). Numerical Characterization of Porous Solids and Performance Evaluation of Theoretical Models via the Precorrected-FFT Accelerated BEM. CMES-Computer Modeling in Engineering & Sciences, 55(1), 33–60.



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