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A wavelet method for reducing the computational cost of BE-based homogenization analysis
A wavelet method for reducing the computational cost of BE-based homogenization analysis
Koro, Kazuhiro
4753
Abe, Kazuhisa
4754
Homogenization method
Wavelet BEM
Haar wavelets
Effective elastic modulus
Unidirectional composites
A wavelet BEM is applied to the evaluation of the effective elastic moduli of unidirectional composites, based on the homogenization theory. This attempt is devoted to the reduction of computational cost for the BE-based homogenization analysis. Truncation for matrix compression is carried out by the Beylkin-type algorithm. A thresholding value for the truncation is set such that the discretization error of BE solution is comparable to its truncation error. Besides, rearrangement of the BE equations is proposed to attain rapid convergence of iterative solutions. Through investigation of asymptotical convergence of the effective moduli, it is found that the BE-based homogenization analysis ensures the same rate of convergence for effective moduli as for characteristic functions. By applying the wavelet BEM to heterogeneous media which have microstructures with many voids, the effective moduli with agreement of 2 - 4 digits can be evaluated using 20 - 50 % memory requirements of conventional BE approaches.
journal article
Elsevier Science Ltd.
2003-05
application/pdf
Engineering Aalysis with Boundary Elements
5
27
439
454
Engineering Aalysis with Boundary Elements
AA10719818
09557997
https://niigata-u.repo.nii.ac.jp/record/1640/files/eabe2002.pdf
eng
info:doi/10.1016/S0955-7997(02)00154-6