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TRANSIENT ELASTIC WAVES IN ANISOTROPIC PLATES.
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
For some classes of anisotropic media and certain orientations of the axes of symmetry, plane-strain and torsional motions are possible in elastic plates. Using the linear equations of motion, the solutions to several time-dependent boundary value problems which generate such motions are derived, by means of multi-integral transform techniques. The problems considered are i sudden symmetric application of normal line loads on the surfaces of an infinite plate ii sudden application of a normal displacement, together with zero shear stress, at the edge of a semi-infinite plate, whose lateral surfaces are stress-free iii sudden application of a normal stress, together with zero lateral displacement, at the edge of a semi-infinite plate, whose lateral surfaces are stress-free and iv impulsive torsional loading of the surfaces of an infinite plate by means of concentrated torques. In problems i, ii, and iii, far-field information is obtained by means of a low frequency, small wavenumber approximation, and numerical results are presented for ice, zinc, copper, and several isotropic media for comparison purposes. Author