Thermal impact response of a thermoelastic solid with a finite crack
Keywords:coupled thermoelasticity, transient, Newton’s law, temperature, dynamic stress-intensity factor, finite crack
A transient stress analysis for the problems of a thermoelastic medium containing a finite crack experiencing a sudden change in temperature over the surface of the crack is studied employing coupled thermoelasticity theory. By assuming that heat is suddenly transferred across the surface of a crack according to Newton’s Law of Cooling and using Laplace and Fourier’s method of integral transforms, the problem is reduced to a system of coupled dual integral equations. Further application of Tranter’s method, in expressing unknown functions as an infinite series of Bessel functions, reduces the equations to an infinite set of linear algebraic equations whose solution in the Laplace transform domain is inverted numerically to yield the values of the dynamic stress-intensity factor,. The results reveal the significant influence of inertia but negligible coupling effects.
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