Analysis of Nonlinear Large Deformation Problems by Boundary Element Method

Xie He-ping

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(12): 1087-1096

Xie He-ping. Analysis of Nonlinear Large Deformation Problems by Boundary Element Method[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1087-1096.

Citation:

Xie He-ping. Analysis of Nonlinear Large Deformation Problems by Boundary Element Method[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1087-1096.

Citation:

Xie He-ping. Analysis of Nonlinear Large Deformation Problems by Boundary Element Method[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1087-1096.

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Analysis of Nonlinear Large Deformation Problems by Boundary Element Method

Xie He-ping

Graduate School, China Insiitute of Mining, Beijing

Received Date: 1987-08-09
Publish Date: 1988-12-15

Abstract

Abstract

In this paper, the author deduces an approximate solution of nonlinear influence function in rate form for two-dimensional elastic problems on current configuration by the method of comoving coordinate system.Here BEM formulation of large deformation based on Chen's theory^[1] is given. The computational processes of nonlinear boundary integral equation is discussed. The author also compiles a nonlinear computing program NBEM. Numerical examples show that the results presented here is available to the solution of engineering problems.

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References(8)

References

[1]	陈至达,《有理力学》,中国矿业学院北京研究生部(1980, 1983).
[2]	Mukhejee, S., Boundary Element Method in Creep and Fracture, Applied Science Publishers, Beibing, U.K. (1982).
[3]	Jelles, J.C.F., The Boundary Element Method Applied to Inelastic Problem, Lecture Notes in Eng., New York (1983).
[4]	Chandra, A. and S. Mukhejee, Boundary element formulation for large strain-large deformations of viscoplasticity, Int. J. Solids Structures, 30, 1 (1984), 41-53.
[5]	Sneddon, I.N., Fourier Transforms, Scotland (1950).
[6]	Xie He-ping and Chen Zhi-da, Nonlinear finite element analysis of large deformation for continua in gravity field, Int. Conf. on Nonlinear Mech., Shanghai, China, Oct. (1985), 1337.
[7]	Xie He-ping and Chen Zhi-da, Nonlinear computing program NEPR for large deformation of underground openings in rock and its application, Proc. of Int. Symp. on Mining Tech. and Science, Xuzhou, China, Sept. (1985), 23-1.
[8]	Novati, G. and C.A. Brebbia, Boundary element formulation for geometrically nonlinear elastostatics, Appl. Math. Modelling, 6 (1982), 136-138.