The linear thermoelastic problem of uniform heat flow disturbed by a central crack in an orthotropic plate is investigated using the techniques of Fourier Transforms and multiple integrations. The thermoelastic stresses and displacements in the crack plane are obtained in closed forms. The stress intensity factor is presented as a function of the material properties.
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References
1.
Florence, A.L. , and Goodier, J.N., "The Linear Thermoelastic Problem of Uniform Heat Flow Disturbed by a Penny-Shaped Insulated Crack," Int'l. J. Engr. Sci., Vol. 1, pp. 533-540 (1963).
2.
Sih, G.C., "On the Singular Character of Thermal Stresses Near a Crack Tip," J. Appl. Mech., 29, pp. 587-589 (1962).
3.
Tsai, S.W., and Hahn, H.T., Introduction to Composite Materials, p. 329, Technomic Pub., Lancaster, PA (1980).
4.
Christensen, R.M., Mechanics of Composite Materials, p. 311, Wiley, New York (1979).
5.
Nowinski, J.L., Theory of Thermoelasticity with Applications, p. 118, Sijthoff & Noordhoff, The Netherlands (1978).
6.
Sneddon, I.N., Fourier Transforms, p. 525, McGraw-Hill, New York ( 1951).
7.
Watson, G.N., Theory of Bessel Functions, p. 405, 2nd Ed., Cambridge University Press, London (1966).
8.
Tsai, Y.M., "Central Ductile Crack in an Orthotropic Strip of Finite Width," J. Composite Materials, Vol.16, pp. 358-370 (1982).
9.
Erdelyi, A., Tables of Integral Transforms, Bateman Manuscript Project, Vol. 1, p. 43, McGraw-Hill, New York ( 1954).
