A New Fast Multipole Boundary Element Method for Solving 3-D Elastic Problem

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In this paper, a new fast multipole boundary element method is presented. By using Taylor series expansion and a new mapping in boundary cell, the efficiency of calculation about influence coefficients has been improved. Compare with the old fast multipole boundary element method, this new method is easier to be suitable for the large-scale numerical calculus request.

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387-390

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] A.P. Peirce and J.A.L. Napier, A Spectral Multipole Method for Efficient Solution of Large-Scale Boundary Element Models in Elastostatics[J]. Int. J. Numer. Meth. Engng. 38, pp.: 4009-4034 (1995).

DOI: 10.1002/nme.1620382307

Google Scholar

[2] A.S. Sangani and G. Mo. An Algorithm for Stokes and Laplace Interactin of Particles[J]. Phys. Fluid. 8, pp.: 1990-2010(1996).

Google Scholar

[3] Wang Hai-tao and Yao Zhen-han, Application of Fast Multipole BEM for Simulation of 2-D Elastic Body with Large Number of Inclusions[C]. Proceedings of the Third International Coference on Boundary Element Techniques. Beijing, Tsinghua University Press. (2002).

Google Scholar

[4] Zhao Li-bin and Yao Zhen-han, Fast Multipole BEM for 3-D Elastostatic Problems with Application for Thin Structures[J]. Tsinghua Science and Technology, 10, pp.: 67-75(2005).

DOI: 10.1016/s1007-0214(05)70011-0

Google Scholar

[5] YU Chun-xiao, SHEN Guang-xian, LIU De-yi. Program iteration pattern Fast Multipole BEM for elasto-plastic contact with friction [J]. Chinese Journal of Computational Mechanics. 25(1): 65-71(2008).

Google Scholar

[6] Zhao Lin-bin and Yao Zhen-han, The fast multipole BEM about 3-D elastic problem applied in thin shell structure. (2003).

Google Scholar

[7] Shen Guang-xian, Liu De-yi and Yu Chun-xiao, Multipole boundary element method and rolling engineering[M]. Science Press. (2004).

Google Scholar

[8] Liu Yi-jiu. A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems. Int.J. Numer. Meth. Enging. 65, pp.: 863-881(2006).

DOI: 10.1002/nme.1474

Google Scholar

[9] Shen Liang, Liu Yi-jun. An adaptive fast multipole boundary element method for three-dimensional potential problems. Comput. Mech. 39. pp: 681-691(2007).

DOI: 10.1007/s00466-006-0046-9

Google Scholar

[10] H. L. Gui, Q. X. Huang, L. F. Ma, et al.: Application of FM-BEM in rolled piece deformation analysis of straightening process. Journal of Chongqing University, Vol. 33(2010) No. 5, p.98. (in Chinese).

Google Scholar

[11] H. L. Gui, Q. X. Huang. The mixed fast multipole boundary element method for solving strip cold rolling process. Applied Mechanics and Material. Vol. 20-23(2010), p.76.

DOI: 10.4028/www.scientific.net/amm.20-23.76

Google Scholar

[12] H. L. Gui, Q. X. Huang, Y. M. Chen: Analysis of the Contact Problems using Mixed Fast Multipole Boundary Element Method. ICIC Express Letters, Vol. 4(2010) No. 3, p.1281.

Google Scholar

[13] H.L. Gui, Q. Li, Q.X. Huang, G.X. Shen. Analysis of contact problem using improved fast multipole BEM with variable element length theory. Journal of Marine Science and Technology. Vol. 21, No. 1, pp.: 1-7 (2013).

Google Scholar