Advertisement

A Combined Boundary and Finite Element Implementation for Axisymmetric Thermoelasticity

  • T. J. Rudolphi
  • W. Lohmar
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

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.

Keywords

Boundary Element Method Boundary Integral Equation Circumferential Stress Infinite Element Finite Element Implementation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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.MathSciNetCrossRefGoogle Scholar
  2. 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. 3.
    Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C.: Boundary element techniques-theory and application, Springer-Verlag 1984.Google Scholar
  4. 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. 5.
    Beer, G.: BEFE-A combined boundary element finite element computer program, Advances in engineering software, 6, 2 (1983) 103–109.Google Scholar
  6. 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. 7.
    Kermanidis, T.: A numerical solution for axially symmetric elasticity problems, Int. J. Solids and Structures, 11 (1975) 493–500.MATHCrossRefGoogle Scholar
  8. 8.
    Cruse, T. A.; Snow, D. W.; Wilson, R. B.: Numerical solutions in axisymmetric elasticity, Computers and Structures, 7 (1977) 445–451.MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    Bakr, A. A.: The boundary integral equation method in axisymmetric stress analysis problems, Springer-Verlag 1986.Google Scholar
  10. 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. 11.
    Grandin, H.: Fundamentals of the finite element method, Macmillan Pub. Co. 1986.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • T. J. Rudolphi
    • 1
  • W. Lohmar
    • 1
  1. 1.Department of Engineering Science and MechanicsIowa State UniversityAmesUSA

Personalised recommendations