Analysis of Kinked Crack under Uniform Heat Flow
Publication: Journal of Engineering Mechanics
Volume 112, Issue 1
Abstract
A thermo‐elastic problem is analyzed for an infinite plate with a kinked crack, which occurs from an end of a linear initial crack. The plate is subjected to a uniform heat flow in an arbitrary direction. The rational mapping function of a sum of fractional expressions, thermal dislocation and the complex variable method are used in the analysis. A closed solution is obtained for the shape represented by the rational mapping function. Distributions of heat flow, temperature and stress, the stress intensity factor and singularity of heat flow are investigated, both before and after the occurrence of a kinked crack.
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References
1.
Chatterjee, S. N., “The Stress Field in the Neighborhood of a Branched Crack in an Infinite Elastic Sheet,” International Journal of Solids and Structures, Vol. 11, 1975, pp. 521–538.
2.
Florence, A. L., and Goodier, J. N., “Thermal Stresses Due to Disturbance of Uniform Heat Flow by an Insulated Ovaloid Hole,” Journal of Applied Mechanics, Vol. 27, 1960, pp. 635–639.
3.
Hasebe, N., and Horiuchi, Y., “Stress Analysis for a Strip with Semi‐Elliptical Notches or Cracks on Both Sides by Means of Rational Mapping Function,” Ingenieur Archiv, Vol. 47, 1978, pp. 169–179.
4.
Hasebe, N., and Inohara, S., “Stress Analysis of a Semi‐Infinite Plate with an Oblique Edge Crack,” Ingenieur Archiv, Vol. 49, 1980, pp. 51–62.
5.
Hasebe, N., and Inohara, S., “Stress Intensity Factor at a Bilaterally Bent Crack in the Bending Problem of Thin Plate,” Engineering Fracture Mechanics, Vol. 14, 1981, pp. 607–616.
6.
Hasebe, N., Keer, L. M., and Nemat‐Nasser, S., “Stress Analysis of a Kinked Crack Initiating from a Rigid Line Inclusion. Part T. Formulation,” Mechanics of Materials, Vol. 3, 1984, pp. 131–145.
7.
Muskhelishvili, N. I., Some Basic Problem of Mathematical Theory of Elasticity, 2nd ed., Ervin P. Noordhoff, Ltd., Groningen, Netherlands, 1963.
8.
Parkus, H., Thermoelasticity, Blaisdell Publishing Co., Germany, 1968.
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Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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