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Boundary element method analysis of bending of inelastic plates with general boundary conditions

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Abstract

This paper presents an accurate boundary element method (BEM) formulation for the bending of inelastic Kirchhoff plates subjected to general boundary conditions. This approach is an extension of earlier work by the authors of this paper and other co-workers on elastic plate deformation where they had proposed a three-equation BEM scheme. Numerical results presented here include plates with cutouts and free edges. A rate type constitutive model is used here to describe nonelastic deformation behavior of the plate material.

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References

  • Bezine, G. (1978): Boundary integral formulation for plate flexure with arbitrary boundary conditions. Mech. Res. Commun. 5, 197–206

    Google Scholar 

  • Bui, H. D. (1978): Some remarks about the formulation of three-dimensional thermoelastoplastic problems by integral equations. Int. J. Solids Struct. 14, 935–939

    Google Scholar 

  • Du, Q.; Yao, Z.; Song, G. (1984): Solution of some plate bending problems using the boundary element method. Appl. Math. Modeling 8, 15–22

    Google Scholar 

  • Jaswon, M. S.; Maiti, M. (1968): An integral equation formulation of plate bending problems. J. Eng. Math. 2, 83–93

    Google Scholar 

  • Morjaria, M.; Mukherjee, S. (1980): Inelastic analysis of transverse deflection of plates by the boundary element method. J. Appl. Mech. 47, 291–296

    Google Scholar 

  • Moshaiov, A.; Vorus, W. S. (1986): Elasto-plastic plate bending analysis by a boundary element method with initial plastic moments. Int. J. Solids Struct. 22, 1213–1229

    Google Scholar 

  • Mukherjee, S. (1982): Boundary element methods in creep and fracture. London: Elsevier

    Google Scholar 

  • Penny, R. K.; Marriott, D. L. (1971): Design for creep. New York: McGraw-Hill

    Google Scholar 

  • Song, G.; Mukherjee, S. (1986): Boundary element method analysis of bending of elastic plates of arbitrary shape with general boundary conditions. Eng. Anal. 3, 36–44

    Google Scholar 

  • Stern, M. (1979): A general boundary integral formulation for the numerical solution of plate bending problems. Int. J. Solids Struct. 15, 769–782

    Google Scholar 

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Authors and Affiliations

  1. Computer Center, Scientific Research Institute of Petroleum Exploration and Development, Beijing, China

    G. -S. Song

  2. Department of Theoretical and Applied Mechanics, Cornell University, Kimball Hall, 14853-1502, Ithaca, NY, USA

    S. Mukherjee

Authors
  1. G. -S. Song
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  2. S. Mukherjee
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Additional information

This research was performed while G.-S. Song was a visiting Scientist at Cornell University

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Song, G.S., Mukherjee, S. Boundary element method analysis of bending of inelastic plates with general boundary conditions. Computational Mechanics 5, 104–112 (1989). https://doi.org/10.1007/BF01046479

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  • DOI: https://doi.org/10.1007/BF01046479

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