Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2365
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dc.titleA fast elastostatic solver based on fast Fourier transform on multipoles (FFTM)
dc.contributor.authorHe, X.
dc.contributor.authorLim, K.M.
dc.contributor.authorLim, S.P.
dc.date.accessioned2014-06-16T09:27:41Z
dc.date.available2014-06-16T09:27:41Z
dc.date.issued2008
dc.identifier.citationHe, X., Lim, K.M., Lim, S.P. (2008). A fast elastostatic solver based on fast Fourier transform on multipoles (FFTM). International Journal for Numerical Methods in Engineering 76 (8) : 1231-1249. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.2365
dc.identifier.issn00295981
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/54131
dc.description.abstractIn this paper, we present a fast algorithm to solve elasticity problems, governed by the Navier equation, using the boundary element method (BEM). This fast algorithm is based on the fast Fourier transform on multipoles (FFTM) method that has been developed for the Laplace equation. The FFTM method uses multipole moments and their kernel functions, together with the fast Fourier transform (FFT), to accelerate the far field computation. The memory requirement of the original FFTM tends to be high, especially when the method is extended to the Navier equation that involves vector quantities. In this paper, we used a compact representation of the translation matrices for the Navier equation based on solid harmonics. This reduces the memory usage significantly, allowing large elasticity problems to be solved efficiently. The improved FFTM is compared with the commonly used FMM, revealing that the FFTM requires shorter computational time but more memory than the FMM to achieve comparable accuracy. Finally, the method is applied to calculate the effective Young's modulus of a material containing numerous voids of various shapes, sizes and orientations. Copyright © 2008 John Wiley & Sons, Ltd.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1002/nme.2365
dc.sourceScopus
dc.subjectBoundary element method (BEM)
dc.subjectEffective Young's modulus
dc.subjectFast fourier transform on multipole (FFTM)
dc.subjectSolid with voids
dc.subjectThree-dimensional Navier equation
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1002/nme.2365
dc.description.sourcetitleInternational Journal for Numerical Methods in Engineering
dc.description.volume76
dc.description.issue8
dc.description.page1231-1249
dc.description.codenIJNMB
dc.identifier.isiut000260949200006
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