Abstract
ABSTRACT Thermal stresses represent one of the most important failure modes of structure components in many engineering applications, especially in the presence of preexisting defects. The problem of periodic edge cracks perpendicular to the boundaries of an elastic strip under thermal loading is considered. The plate is assumed to be insulated on one boundary and suddenly cooled by surface convection at the boundary containing the cracks. The problem is solved using the superposition technique. The transient thermal stresses obtained from the uncracked thermal problem with opposite sign is used on the crack surfaces as crack surface tractions to formulate the isothermal cracked problem (perturbation problem). The mixed-boundary-value problem is reduced to a hypersingular integral equation with the crack surface displacement as the unknown function. Numerical results for the variation of the normalized stress intensity factor are determined and presented in terms of normalized quantities such as the Fourier number, Biot number, normalized crack length, and the normalized periodic spacing of the crack.
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