Skip to main content
Log in

Hypersingular boundary integral equations have an additional free term

  • Originals
  • Published:
Computational Mechanics Aims and scope Submit manuscript

Abstract

In this paper it is shown that hypersingular boundary integral equations may have an additional free term which has been erroneously omitted in former analyses.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • CruseT. A.; SuwitoW. 1993: On the Somigliana stress identity in elasticity, Computational Mechanics, 11: 1–10

    Google Scholar 

  • FarinG. 1992: Curves and Surfaces for Computer Aided Geometric Design, 2nd edn, Academic Press, Boston, 209–217

    Google Scholar 

  • Gallego, R.; Domínguez, J.: Hypersingular BEM for time domain crack problems, submitted for publication

  • GrayL. J.; MarthaL. F.; IngraffeaA. R. 1990: Hypersingular integrals in boundary element fracture analysis, Int. J. Numerical Methods in Engineering, 29: 1135–1158

    Google Scholar 

  • GuiggianiM. 1992: Direct evaluation of hypersingular integrals in 2D BEM, in Numerical Techniques for Boundary Element Methods, W.Hackbusch ed., Vol. 33, Vieweg, Braunschweig, pp. 23–34

    Google Scholar 

  • GuiggianiM. 1994. Hypersingular formulation for boundary stress evaluation, Engineering Analysis with Boundary Elements, 13: 169–179

    Google Scholar 

  • GuiggianiM.; GiganteA. 1990: A general algorithm for multidimensional Cauchy principal value integrals in the boundary element method, ASME J. Applied Mechanics, 57: 906–915

    Google Scholar 

  • GuiggianiM.; KrishnasamyG.; RizzoF. J.; RudolphiT. J. 1991: Hypersingular boundary integral equations: a new approach to their numerical treatment, in Boundary Integral Methods, L.Morino and R.Piva, eds., Springer-Verlag, Berlin, pp. 211–220

    Google Scholar 

  • GuiggianiM.; KrishnasamyG.; RudolphiT. J.; RizzoF. J. 1992: A general algorithm for the numerical solution of hypersingular boundary integral equations, ASME J. of Applied Mechanics, 59: 604–614

    Google Scholar 

  • HartmannF. 1981: The Somigliana identity on piecewise smooth surfaces, J. of Elasticity, 11: 403–423

    Google Scholar 

  • HildenbrandJ.; KuhnG. 1992: Numerical computation of hypersingular integrals and application to the boundary integral equation for the stress tensor, Engineering Analysis with Boundary Elements, 10: 209–217

    Google Scholar 

  • HuberO.; LangA.; KuhnG. 1993: Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals, Computational Mechanics, 12: 39–50

    Google Scholar 

  • KrishnasamyG.; RizzoF. J.; RudolphiT. J. 1992: Continuity requirements for density functions in the boundary element method in elasticity, Computational Mechanics, 9: 267–284

    Google Scholar 

  • KrishnasamyG.; SchmerrL. W.; RudolphiT.J.; RizzoF. J. 1990: Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering, ASME J. Applied Mechanics, 57: 404–414

    Google Scholar 

  • MantičV. 1993: A new formula for the C-matrix in the Somigliana identity, J. of Elasticity, 33: 191–201

    Google Scholar 

  • Mantič, V.; Parìs, F. 1995: On free terms and singular integrals in isotropic and anisotropic potential theory, Proc. IABEM'95, Hawaii, 1995

  • MiY.; AliabadiM. H. 1992: Dual boundary element method for three-dimensional fracture mechanics analysis, Engineering Analysis with Boundary Elements, 10: 161–171

    Google Scholar 

  • Rêgo SilvaJ. J.; PowerH.; WrobelL. C. 1993: A hypersingular integral equation formulation for Stokes' flow in ducts, Engineering Analysis with Boundary Elements, 12: 185–193

    Google Scholar 

  • SchwabC.; WendlandW. 1992: On numerical cubature of singular surface integrals in boundary element methods, Numerische Mathematik, 62: 343–369

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by T. Cruse, 27 March 1995

Work performed with the support of MURST.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guiggiani, M. Hypersingular boundary integral equations have an additional free term. Computational Mechanics 16, 245–248 (1995). https://doi.org/10.1007/BF00369869

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00369869

Keywords

Navigation