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Solution of elastic-plastic shallow shell problems by the boundary element method

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Abstract

The boundary integral equations for elasto-plastic problems of shallow shells are established by using the fundamental solutions of shallow shells derived previously. The strains and stress-resultants in the plastic region are used as unknown variables. The simultaneous nonlinear equations of these variables and unknown boundary values are established and solved by direct iteration method.

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References

  1. Swedlow K. L. and Cruse T. A., Formulation of boundary integral equations for three-dimensional elasto-plastic flow,Int. J. Solids & Struc.,7 (1971) 1643–1684.

    Google Scholar 

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

  3. Mukherjee S., Boundary Element Method in Creep and Fracture (1982).

  4. Morkaria M. and Mukherjee, S., Numerical analysis of planar time dependent inelastic deformation of plates with cracks by the boundary element method,Int. J. Solids & Struc.,17, 127–143.

  5. He G. Q., Lin C. Z. and Tang J., A integral equation method for the analysis of plates and shells, in Proc. Int. Conf. on FEM, Shanghai, China (1982).

  6. Peng Xiaolin and He Guangqian, The computation of fundamental solutions of shallow shells in the boundary element method,Applied Mathematic Modelling,10, 3 (1986), 185–189.

    Article  MATH  Google Scholar 

  7. Peng Xiaolin and He Guangqian, The establishment of boundary integral equations by generalized functions,Applied Mathematics and Mechanics (english edition),7, 6 (1986), 497–504.

    MathSciNet  Google Scholar 

  8. Il'yushin A. A., Plasticity (in Russian), (1963).

  9. Murray D. W. and Wilson E. L., An approximate nonlinear analysis of plates, in Proc. 2nd Conf. on Matrix Meth. in Struc. Mech., Ohio, Oct. (1965).

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Authors and Affiliations

  1. North China University of Technology, China

    Peng Xiaolin

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  1. Peng Xiaolin
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Xiaolin, P. Solution of elastic-plastic shallow shell problems by the boundary element method. Acta Mech Sinica 3, 52–61 (1987). https://doi.org/10.1007/BF02486783

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  • DOI: https://doi.org/10.1007/BF02486783

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