Abstract
The thermal stress intensity factors (TSIF's) for the cusp cracks such as hypocycloid crack, symmetric airfoil crack and symmetric lip crack are determined by using Bogdanoff's complex variable approaches in plane thermoelasticity. The results are expressed in terms of periodic functions of the direction of uniform heat flow. The TSIFs are shown to be sensitive to both the direction of uniform heat flow and the thermal boundary conditions. It is also shown that Florence's solutions for an insulated circular hole and Sih's solutions for an insulated Griffith crack are derived from the results of the stress and displacement fields for hypocycloid crack and the TSIF's for various cusp cracks, respectively.
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