Hostname: page-component-669899f699-8p65j Total loading time: 0 Render date: 2025-04-29T12:23:30.444Z Has data issue: false hasContentIssue false
  • English
  • Français

Further Investigation and Application of the Principle of Correspondence Between Elastic and Piezoelectric Problems

Published online by Cambridge University Press:  01 February 2011

Edgar Karapetian  and
Larissa Gorbatikh
Edgar Karapetian
Affiliation:
Department of Mathematics & Computer Science, Suffolk UniversityBoston, MA 02114, USA
Larissa Gorbatikh
Affiliation:
Department of Mechanical Engineering, University of New Mexico Albuquerque, NM 87131, USA
Get access

Abstract

In the present work, the recently established principle of correspondence between the elastic and the piezoelectric problems for the transversely isotropic materials has been applied to obtain the solution of the problem of interaction of two tangential forces and a penny-shaped crack. The problem under consideration is described as follows: a penny-shaped crack in the unbounded piezoelectric medium is interacting with two tangential forces of the same magnitude acting in the same direction and applied arbitrarily but symmetrically with respect to the crack plane, which is a plane of isotropy. Some further investigation of the principle of correspondence is made and the important limiting conditions are stated.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 731: Symposium W – Modeling and Numerical Simulation of Materials Behavior and Evolution , 2002 , W2.4
Copyright
Copyright © Materials Research Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Karapetian, E., Kachanov, M. and Sevostianov, I. Archive of Applied Mechanic (to be published), (2002)Google Scholar
2. Fabrikant, V.I. Applications of Potential Theory in Mechanics: A Selection of New Results. Kluwer Academic Publishers, The Netherlands, (1989)Google Scholar
3. Fabrikant, V.I. Mixed Boundary Value problems of Potential Theory and Their Applications in Engineering. Kluwer Academic Publishers, The Netherlands, (1991)Google Scholar
4. Karapetian, E., Sevostianov, I. and Kachanov, M. Philosophical Magazine B 80, 331–359, (2000)Google Scholar
5. Karapetian, E., Sevostianov, I. and Kachanov, M. Archive of Applied Mechanic 70, 201–229, (2000)Google Scholar
6. Zhang, T.Y., Fu, R., Zhao, M.H. and Tong, P., Fracture and strength of solids, PTS 1 and 2 Key Engineering Materials. 183, 695–706, (2000)Google Scholar
7. Fabrikant, V.I. ASCE Journal of Engineering Mechanics 126, 102–111, (2000)Google Scholar
8. Fabrikant, V.I. Izvestiia Vysshikh Uchebnykh Zavedenii, Mashinostroenie 3, 9–12, (1970)Google Scholar
9. Fabrikant, V.I. Mathematical Methods in the Applied Sciences 22, 1201–1220, (1999)Google Scholar
10. Karapetian, E. and Hanson, M. (1994), International Journal of Solids and Structures, Vol. 31, pp. 2035–2052 Google Scholar