Anisotropic materials are currently used in a wide variety of advanced engineer- ing applications. The most commonly used anisotropic materials are composites and.crystals. These materials are extensively used in aerospace, civil engineering construc- tion, electronic packaging etc. In recent years, transient wave propagation in anisotropicsolids has received increasing attention due to the relationship of this topic to fundamen- tal studies in the areas of smart structures/materials development and the modellingof ultrasonic non-destructive techniques for defect/flaw characterization in materials.This paper is concerned with the propagation of transient stress pulses in an anisotropicelastic solid. The anisotropy of the solid is presented by conventional orthotropy. Ini- tially, general solutions for transient wave propagation in 2-D problems are derived byusing Laplace-Fourier integral transforms. These general solutions are then used tosolve boundary-value problem corresponding to 2-D stress pulses applied at an arbi- trary location in the medium. Solutions are also presented for stress waves emanatingfrom a sudden fracture at an arbitrary location in the medium. Time history of theapplied stress and the displacement discontinuity is assumed to be arbitrary.
Y. Wang, Y. Wang,
"Transient response of an anisotropic solid", Proc. SPIE 1777, First European Conference on Smart Structures and Materials, 17772E (1 May 1992); doi: 10.1117/12.2298109; https://doi.org/10.1117/12.2298109