Skip to main content

Progress in Applications of BEM to Inelastic Analysis of Solids

  • Conference paper
Boundary Element Methods in Engineering

Abstract

A number of recently developed boundary element solutions are used for solving a range of elastoplastic and thermoplastic problems. The first algorithm is the conventional volume integral formulation in which the unknown boundary solution and the initial stress (or strain) rates are found together either in an incremental iterative fashion or by a direct variable stiffness type algorithm. The second procedure which is entirely new differs from the previous one in that volume integration is not required to incorporate the nonlinear effects in the analysis. Instead, initial stress rates are introduced in the boundary element system via particular integrals.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banerjee, P.K. and Butterfield, R., Boundary Element Methods in Engineering Science, McGraw-Hill, London (1981).

    MATH  Google Scholar 

  2. Banerjee, P.K., Cathie, D.N. and Davies, T.G., ‘Two and Three-dimensional Problems of Elastoplasticity,’ Chapter IV in Developments in Boundary Elements, V1, Applied Science Publishers, London (1979).

    Google Scholar 

  3. Cathie, D.N. and Banerjee, P.K., ‘Boundary Element Methods for Axisymmetric Plasticity,’ Innovative Numerical Methods for the Applied Engineering Science, Eds. R. Shaw, W. Pilkey, B. Pilkey, R. Wilson, A. Lakis, A. Chaudouet, and C. Marino, University of Virginia Press (1980).

    Google Scholar 

  4. Banerjee, P.K. and Davies, T.G., ‘Advanced Implementation of the Boundary Element Method for Three-dimensional Problems of Elastoplasticity and Viscoplasticity,’ Chapter I in Developments in Boundary Elements, V3, Eds. P.K. Banerjee and S. Mukherjee, Applied Science Publishers, London (1984).

    Google Scholar 

  5. Banerjee, P.K. and Raveendra, S.T., ‘Advanced Boundary Element Analysis of Two-and Three-dimensional Problems of Elastoplasticity,’ Int. Jour. for Num. Methods in Engrg., V23, pp. 985–1002 (1986).

    Article  Google Scholar 

  6. Banerjee, P.K. and Raveendra, S.T., ‘A New Boundary Element Formulation for Two-dimensional Elastoplastic Analysis,’ Jour. of Engrg. Mech., V113(2), pp. 252–265 (1986).

    Google Scholar 

  7. Banerjee, P.K. and Henry, D.P., Jr., ‘Recent Advances in the Inelastic Analysis of Solids by BEM,’ Proc. of ASME Conf. on Advances in Inelastic Analysis, AMD, V88, pp. 177–192 (1987).

    Google Scholar 

  8. Banerjee, P.K., Wilson, R.B. and Raveendra, S.T., ‘Advanced Applications of BEM to Three-dimensional Problems of Monotonic and Cyclic Plasticity,’ Int. Jour. Mech. Sciences, V29(9), pp. 637–653 (1987).

    Article  Google Scholar 

  9. Banerjee, P.K., Wilson, R.B. and Miller, N., ‘Advanced Elastic and Inelastic Three-dimensional Analysis of Gas Turbine Engine Structures by BEM,’ Int. Jour. Num. Methods in Engrg., V26, pp 393–411 (1988).

    Article  Google Scholar 

  10. Banerjee, P.K., Henry, D.P. and Raveendra, ‘Advanced Inelastic Analysis of Solids by BEM,’ Int. Jour. Mech. Sciences, V31, pp. 309–322 (1989).

    Article  Google Scholar 

  11. Dargush, G.F., Boundary Element Methods for the Analogous Problems of Ther-momechanics and Consolidation, Ph.D. Thesis, State University of New York at Buffalo (1987).

    Google Scholar 

  12. Henry, D.P., Jr., Advanced Development of the Boundary Element Method for Elastic and Inelastic Thermal Stress Analysis, Ph.D. Dissertation, State University of New York at Buffalo (1987).

    Google Scholar 

  13. Henry, D.P., Jr. and Banerjee, P.K., ‘A Thermoplastic BEM Analysis for Substructured Axisymmetric Bodies,’ Jour. of Engrg. Mech., ASCE, V113(12), pp. 1880–1900 (1987).

    Article  Google Scholar 

  14. Henry. D.P. and Banerjee, P.K., ‘A Variable Stiffness Type Boundary Element Formulation for Axisymmetric Elastoplastic Media,’ Int. Jour. for Num. Methods in Engrg., V25, pp. 1005–1027 (1988).

    Article  Google Scholar 

  15. Henry, D.P. and Banerjee, P.K., ‘A New BEM Formulation for Thermoelasticity by Particular Integrals,’ Int. Jour. Num. Methods in Engrg., V26(9), pp. 2061–2078, (1988).

    Article  MathSciNet  Google Scholar 

  16. Henry, D.P. and Banerjee, P.K., ‘A New BEM Formulation for Elastoplasticity by Particular Integrals,’ Int. Jour. Num. Methods in Engrg., V26(9), pp. 2079–2096 (1988).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Banerjee, P.K., Henry, D.P., Dargush, G.F. (1990). Progress in Applications of BEM to Inelastic Analysis of Solids. In: Annigeri, B.S., Tseng, K. (eds) Boundary Element Methods in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84238-2_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84238-2_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84240-5

  • Online ISBN: 978-3-642-84238-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics