PROPAGATION OF CYLINDRICAL SHEAR WAVES IN NONHOMOGENEOUS ELASTIC MEDIA
DREXEL INST OF TECH PHILADELPHIA PA
Pagination or Media Count:
The method of characteristics is applied to the set of equations which governs the propagation of axially symmetric torsional shear waves in nonhomogeneous elastic media. The wave velocities, characteristic equations, and the equations governing the propagation of abrupt changes discontinuous wave fronts are derived in closed form. Numerical integration along the characteristic directions was carried out for several examples on an electronic computer. The solutions of three specific examples calculated show general agreement with existing solutions by other methods. For certain problems, the method of characteristics yield additional results which cannot be obtained by the Laplace transform method.