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TRANSIENT ELASTIC WAVES IN ANISOTROPIC PLATES.
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
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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
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