TRANSIENT ELASTIC WAVES IN ANISOTROPIC PLATES.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0623917
Entities
People
- J. Miklowitz
- R. A. Scott
Organizations
- California Institute of Technology