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An Integral Equation Analysis of Inelastic Shells

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Advanced Boundary Element Methods

Summary

An integral equation formulation for the analysis of elastic and inelastic shells of arbitrary shape, subjected to arbitrary loading, is presented in this paper. Numerical results are presented for inelastic deformation of axisymmetric shells. These results are compared against finite element method (FEM) solutions.

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References

  1. Mukherjee, S.; Poddar, B.: An integral equation formulation for elastic and inelastic shell analysis. Boundary Elements. Proceedings of the International Conference, Beijing, China, October 1986. Ed. Du, Qinghua. Pergmanon Press, Oxford 1986. 353–366.

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  2. Anand, L.: Constitutive equations for the rate-dependent deformation of metals at elevated temperatures. ASME Jn. Eng. Mat. and Tech. 104 (1982) 12–17.

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  3. Kollmann, F.G.; Mukherjee, S.: Inelastic deformation of thin cylindrical shells under axisymmetric loading. Ingenieur Archiv. 54 (1984) 355–367.

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  4. Rajiyah, H.; Mukherjee, S.: Comparison of finite element and boundary element methods of solution for large inelastic deformation of axisymmetric solid bodies. (Under preparation).

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  5. Mukherjee, S.: Boundary element methods in creep and fracture. Elsevier Applied Science. London. 1982.

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  6. Poddar, B.: An integral equation analysis of inelastic shells, Ph.D. dissertation, Cornell University. Ithaca. N.Y. 1987.

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Author information

Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics Kimball Hall, Cornell University, Ithaca, New York, 14853, USA

    Bimal Poddar & Subrata Mukherjee

Authors
  1. Bimal Poddar
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  2. Subrata Mukherjee
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Editor information

Editors and Affiliations

  1. Department of Engineering Mechanics, Southwest Research Institute, Post Office Drawer 28510, 6220 Culebra Road, 78284, San Antonio, Texas, USA

    Thomas A. Cruse

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© 1988 Springer-Verlag Berlin Heidelberg

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Poddar, B., Mukherjee, S. (1988). An Integral Equation Analysis of Inelastic Shells. In: Cruse, T.A. (eds) Advanced Boundary Element Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83003-7_33

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  • DOI: https://doi.org/10.1007/978-3-642-83003-7_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83005-1

  • Online ISBN: 978-3-642-83003-7

  • eBook Packages: Springer Book Archive

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