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Overlapping domain problems in the crack theory with possible contact between crack faces
Author(s):
Alexander
Khludnev;
Atusi
Tani
Journal:
Quart. Appl. Math.
66
(2008),
423-435.
MSC (2000):
Primary 49J40, 49J10, 35J65, 35J70
Posted:
June 6, 2008
MathSciNet review:
2445521
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Abstract:
The paper is concerned with the analysis of a new class of overlapping domain problems for elastic bodies having cracks. Inequality type boundary conditions are imposed on the crack faces. We prove an existence of invariant integrals and analyze the asymptotic behavior of the solution. It is shown that the limit problem describes an equilibrium state for the elastic body with a thin inclusion.
References:
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Additional Information:
Alexander
Khludnev
Affiliation:
Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, Novosibirsk 630090, Russia
Email:
khlud@hydro.nsc.ru
Atusi
Tani
Affiliation:
Department of Mathematics, 3-14-1 Keio University, Yokohama 223-8522, Japan
Email:
tani@math.keio.ac.jp
PII:
S0033-569X-08-01118-7
Received by editor(s):
July 1, 2006
Posted:
June 6, 2008
Copyright of article:
Copyright
2008,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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