Skip to main content

A Variable Stiffness Plasticity Boundary Element Formulation for Non-Linear Orthotropic Fracture Mechanics

  • Conference paper
IABEM Symposium on Boundary Integral Methods for Nonlinear Problems

Abstract

A new approach is outlined for dual BEM formulation for elastoplasticity, which exploits certain features of the constitutive relationships involved. By the use of a quadratic orthotropic yield criterion with strain hardening, the unknown non-linear terms, as the initial strains, are now defined in function of the scalar flow factors. Dual BEM variable stiffness formulation, based on the utilisation of the traction equation on one of the crack surfaces and the displacement equation on the other, is presented for the solution of general elastoplastic fracture mechanics problems.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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.

5. References

  1. Watson, J.O. Hermitian cubic and singular elements for plane strain, Develoments in Boundary Element Methods 4, P.K. Banerjee and J.O. Watson Ed. Elsevier Applied Science Publishers.

    Google Scholar 

  2. Portela, M.H. Aliabadi, D.P. Rooke (1992) Dual Bounary Element analysis of cracked plates: singularity subtraction technique, Int. Journal of Fracture 55, 17–28.

    Article  Google Scholar 

  3. Guiggiani, A. Gigante (1990) A general algorithm for multidimensional Cauchy Principal Value Integrals in the Boundary Element Method, Journal of Applied Mechanics 57, 906–915.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Deb & P.K. Banerjee (1993) A variable Stiffness Type Elastoplastic Boundary Element Formulation For Planar Anisotropic Media, International Journal of Solids Structures, Vol 30, No.8, 1093–1112.

    Article  MATH  Google Scholar 

  5. V.M.A. Lietao, M.H. Aliabadi and D.P. Rooke (1995) The dual boundary element formulation for elastoplastic fracture mechanics, Int. J. Num. Meth. Engng. 38, 315–335,.

    Article  Google Scholar 

  6. D. Kenaga, J.F. Doyle, CT. Sun (1987) The Characterization of Born/Aluminum Composite in the Nonlinear Range as an Orthotropic Elastic-Plastic Material, Journal of Composite Materials 21, 516–531.

    Article  Google Scholar 

  7. Mikhlin (1965) Multidimensional Singular Integral Equations, Pergamon Press, London.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Corradi, S., Marchetti, M., Stefanelli, M. (1997). A Variable Stiffness Plasticity Boundary Element Formulation for Non-Linear Orthotropic Fracture Mechanics. In: Morino, L., Wendland, W.L. (eds) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5706-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5706-3_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6406-4

  • Online ISBN: 978-94-011-5706-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics