Skip to main content
SpringerLink
Log in

Analysis of nonlinear large deformation problems by boundary element method

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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 co-moving coordinate system. Here BEM formulation of large deformation based on Chen's theory[I] 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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chen Zhi-da,Rational Mechanics, China Institute of Mining (1980,1983). (in Chinese)

  2. Mukhejee, S.,Boundary Element Method in Creep and Fracture, Applied Science Publishers, Beibing, U.K. (1982).

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Graduate School, China Institute of Mining, Beijing

    Xie He-ping

Authors
  1. Xie He-ping
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chen Zhi-da

The author is grateful to Professor Chen Zhi-da for his constant concern in the progress of this research work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

He-ping, X. Analysis of nonlinear large deformation problems by boundary element method. Appl Math Mech 9, 1153–1162 (1988). https://doi.org/10.1007/BF02014470

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02014470

Keywords

Search

Navigation