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Title :A wavelet method for reducing the computational cost of BE-based homogenization analysis
Authors :Koro, Kazuhiro
Abe, Kazuhisa
Publisher :Elsevier Science Ltd.
Issue Date :May-2003
Journal Title :Engineering Aalysis with Boundary Elements
Volume :27
Issue :5
Start Page :439
End Page :454
ISSN :0955-7997
Description :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.
Keywords :Homogenization method
Wavelet BEM
Haar wavelets
Effective elastic modulus
Unidirectional composites
Type Local :学術雑誌論文
Language :eng
URI :http://hdl.handle.net/10191/4886
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/4886/1/eabe2002.pdf
DOI :info:doi/10.1016/S0955-7997(02)00154-6
Appears in Collections:10 査読済論文 = Postprint

Please use this identifier to cite or link to this item: http://hdl.handle.net/10191/4886