Abstract
A numerical method is developed for the inversion of Laplace transform, and its accuracy is shown through examples. As an application of the method, the transient analysis of a piezoelectric laminate with multiple interfacial cracks is performed. Both the permeable and impermeable boundary conditions are discussed. The solution procedures are based on the use of integral transforms, singular integral equations and Chebyshev polynomial expansions. Numerical results are provided to show the effect of crack geometry, applied electric fields, electric boundary conditions along the crack faces and the wave fronts of incident waves or the reflecting waves from surface boundaries on the resulting dynamic stress intensity factor and electric displacement intensity factor.
Published Version
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