THREE-DIMENSIONAL THERMOELASTIC PROBLEMS OF PLANES OF DISCONTINUITIES OR CRACKS IN SOLIDS
- 1 April 1966
- report
- Published by Defense Technical Information Center (DTIC)
Abstract
A general formulation of the three-dimensional thermoelastic equations for problems involving planes of discontinuities is presented. Harmonic functions are constructed from which the stresses and displacements may be obtained. The thermoelastic potential for symmetric distribution of temperatures on the crack surfaces is related to Boussinesq's three-dimensional logarithmic potential for a disk in the shape of the crack. Closed form solutions are obtained for the cases of crack surfaces exposed to uniform temperatures and/or temperature gradients. The possibility of extending the Griffith-Irwin theory of fracture to cracks under thermal disturbance is also discussed.Keywords
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