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On the convergence of elastoplastic boundary element analysis

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Abstract

Iterative process is a main component of boundary element method in plasticity. In this paper, the convergence of elastoplastic boundary element analysis has been discussed in detail and studied theoretically.

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References

  1. Swedlow, J.L. and T.A. Cruse, Formulation of boundary integral equation for three dimensional elastoplastic flow,Int. J. Solids Structure, 7 (1971), 1673.

    Article  Google Scholar 

  2. Mendelson, A., Boundary integral method in elasticity and plasticity, Report No. NASA TN D-7418 (1973).

  3. Muhkerjee, S., Corrected boundary integral equations in planar thermoelastoplasticity,Int. J. Solids Structures, 13 (1977), 331.

    Article  Google Scholar 

  4. Bui, H.D., Some remarks about the formulation of three dimensional thermoelastoplastic problems by integral equationsInt. J. Solids Structures, 14 (1978) 935.

    Article  Google Scholar 

  5. Telles, J.C.F. and C.A. Brebbia, On the application of the boundary element method to plasticity,Appl. Math. Modelling, 3 (1979), 446.

    Google Scholar 

  6. Cathie, D.N., On the implementation of elastoplastic boundary element analysis,Appl. Math. Modelling, 5 (1981), 39.

    Article  Google Scholar 

  7. Banerjee, P.K. and G.G. Mustoe, The boundary element method for two dimensional problems of elastoplasticity,in Recent Advances in Boundary Element Methods, (ed. Brebbia) University of Southampton, Southampton (1978), 283.

    Google Scholar 

  8. Telles, J.C.F. and C.A. Brebbia, The boundary element method in plasticity.,in New Development in Boundary Element Methods (ed. Brebbia) (1980), CML Publications Limited, 295.

  9. Brebbia, C.A. (Ed.),Progress in Boundary Element Methods, Pentech Press, London (1981).

    Google Scholar 

  10. Telles, J.C.F.,The Boundary Element Methods Applied to Inelastic Problems, Springer-Verlag, (1983).

  11. Feng, K.,Numerical Analysis Method, National Defence Industrial Press, (in Chinese)

  12. Li, Q.Y.,Numerical Analysis, Hua Zhong Institute of Technology Press (1981). (in Chinese)

  13. Lipschutz, S.,Linear Algebra, McGraw-Hill, Inc. (1974).

  14. Argyris, J.H. and D.W. Scharpf,Finite Element Methods in Solid Mechanics, Science Press (1976), 166. (in Chinese)

  15. Li, W.L. and K.J. Zhang, On the convergence and acceleration of iterative process in BEM, Conference of Applied Mechanics Association in Ordnance Engineering Society, 16 (1984). (in Chinese)

  16. Li, W.L. and K.J. Zhang, Boundary element analysis of soil response to track load,Proceedings of the First Asian-Pacific Conference for ISTVS, China (1986). (to be published)

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Authors and Affiliations

  1. North Vehicle Research Institute, Beijing

    Li Wen-long & Zhang Xiang-lin

Authors
  1. Li Wen-long
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  2. Zhang Xiang-lin
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Communicated by Chien Wei-zang

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Wen-long, L., Xiang-lin, Z. On the convergence of elastoplastic boundary element analysis. Appl Math Mech 9, 87–94 (1988). https://doi.org/10.1007/BF02017890

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  • DOI: https://doi.org/10.1007/BF02017890

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