Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2365
Title: A fast elastostatic solver based on fast Fourier transform on multipoles (FFTM)
Authors: He, X.
Lim, K.M. 
Lim, S.P. 
Keywords: Boundary element method (BEM)
Effective Young's modulus
Fast fourier transform on multipole (FFTM)
Solid with voids
Three-dimensional Navier equation
Issue Date: 2008
Source: He, 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
Abstract: In 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.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/54131
ISSN: 00295981
DOI: 10.1002/nme.2365
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

1
checked on Dec 14, 2017

WEB OF SCIENCETM
Citations

1
checked on Nov 20, 2017

Page view(s)

23
checked on Dec 17, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.