Green's Function of Thermoelastic Mixed Boundary Value Problem for an Elliptic Hole
Publication: Journal of Engineering Mechanics
Volume 127, Issue 8
Abstract
The static thermoelastic mixed boundary value problem is studied, the one modeling a heat source and a heat sink acting in an infinite plane that contains a partially debonded rigid elliptic inclusion. By employing the conformal mapping technique and the traction-free Green's function for the exterior of the ellipse, the Green's function is obtained for the mixed boundary value problem with a finite number of debondings occurring on the interface between the rigid inclusion and the elastic matrix. Adiabatic and isothermal boundary conditions are considered. The stress distribution is computed on the interface and on the x-axis. The stress-intensity factors are obtained for the case when the ellipse reduces to a crack.
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References
1.
Fukui, K., Fukui, T., and Kaibori, H. ( 1970). “Thermal stress of the elastic plane with a circular hole, including one heat source.” Trans., Japan Soc. of Mech. Engrs., Tokyo, 36(291), 1772–1776.
2.
Hasebe, N., Tomida, A., and Nakamura, T. ( 1988). “Thermal stresses of a cracked circular hole due to uniform heat flux.” J. Thermal Stresses, 11(4), 381–391.
3.
Hasebe, N., and Yoshikawa, K. ( 1999). “Solution of an elliptic rigid inclusion with debondings in an infinite plane under the uniform heat flux.” J. Thermal Stresses, 22(2), 189–212.
4.
Muskhelishvili, N. I. ( 1963). Some basic problems of mathematical theory of elasticity, 4th Ed., Noordhoff, Groningen, The Netherlands.
5.
Yoshikawa, K., and Hasebe, N. ( 1999a). “Green's function for the displacement boundary value problem for a heat source in an infinite plane with an arbitrary shaped rigid inclusion.” Archive of Appl. Mech., 69(4), 227–239.
6.
Yoshikawa, K., and Hasebe, N. ( 1999b). “Green's function for a heat source in an infinite region with an arbitrary shaped hole.” J. Appl. Mech., 66(1), 204–210.
7.
Yoshikawa, K., and Hasebe, N. (1999c). “Heat source in infinite plane with elliptic rigid inclusion and hole.”J. Engrg. Mech., ASCE, 125(6), 684–891.
8.
Zhang, X., and Hasebe, N. ( 1993). “Basic singular thermoelastic solutions for a crack.” Int. J. Fracture, 62(2), 97–118.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 8 • August 2001
Pages: 800 - 807
History
Received: Nov 8, 1999
Published online: Aug 1, 2001
Published in print: Aug 2001
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