Skip to main content

A Combined Boundary and Finite Element Implementation for Axisymmetric Thermoelasticity

  • Conference paper
Advanced Boundary Element Methods
  • 291 Accesses

Summary

The boundary integral equations pertaining to the whole or a portion of an axi-symmetric solid are converted to finite-element-type equations and subsequently assembled into the system stiffness equations along with similar boundary-type elements or axi-symmetric finite elements. The algorithms for incorporating a mixture of both element types were developed and merged into a standard finite element program. The method was implemented so that the usual linear and quadratic finite elements can be arbitrarily intermixed with general shaped, boundary-integral, formulated elements, including exterior or infinite elements. The thermoelastic stresses may be determined within all element types and on the periphery of the boundary elements.

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. Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P.: The coupling of the finite element method and boundary solution procedures, International Journal for Numerical Methods in Engineering, 11 (1976) 355–375.

    Article  MathSciNet  Google Scholar 

  2. Kelly, D. W.; Mustoe, G. G. W.; Zienkiewicz, O. C.: Coupling boundary element methods with other numerical methods, Developments in Boundary Element Methods-1, Banerjee, P. K. and Butterfield, R., ed. (1979) 252–285.

    Google Scholar 

  3. Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C.: Boundary element techniques-theory and application, Springer-Verlag 1984.

    Google Scholar 

  4. Brady, B. H. G.; Wassyng, A.: A coupled finite element-boundary element method of stress analysis, International Journal of Rock Mechanics, Mineral Science and Geomechanics, 18 (1981) 475–485.

    Google Scholar 

  5. Beer, G.: BEFE-A combined boundary element finite element computer program, Advances in engineering software, 6, 2 (1983) 103–109.

    Google Scholar 

  6. Rudolphi, T. J.: Nonhomogeneous potential and elasticity problems by combined boundary and finite elements, Advanced Topics in Boundary Element Analysis, ASME AMD 72 (1985) 113–131.

    Google Scholar 

  7. Kermanidis, T.: A numerical solution for axially symmetric elasticity problems, Int. J. Solids and Structures, 11 (1975) 493–500.

    Article  MATH  Google Scholar 

  8. Cruse, T. A.; Snow, D. W.; Wilson, R. B.: Numerical solutions in axisymmetric elasticity, Computers and Structures, 7 (1977) 445–451.

    Article  MathSciNet  MATH  Google Scholar 

  9. Bakr, A. A.: The boundary integral equation method in axisymmetric stress analysis problems, Springer-Verlag 1986.

    Google Scholar 

  10. Lohmar, W.: The Combined Finite Element, Boundary Element Method in Axisymmetric Potential and Elasticity Problems, Master’s Thesis, Iowa State University, 1986.

    Google Scholar 

  11. Grandin, H.: Fundamentals of the finite element method, Macmillan Pub. Co. 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rudolphi, T.J., Lohmar, W. (1988). A Combined Boundary and Finite Element Implementation for Axisymmetric Thermoelasticity. 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_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83003-7_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83005-1

  • Online ISBN: 978-3-642-83003-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics