1987 Volume 30 Issue 270 Pages 1885-1889
An inverse procedure has been developed to obtain an exact solution for the travel time of seismic rays transmitted through a nonhomogeneous medium in which the seismic velocity depends only on depth from the surface. If the nonhomogenity is in the form of distinct, horizontal layers (graded material), then the procedure of ensuring continuous displacement and stress across the interface between homogeneous layers is straight forward but involves a considerable amount of algebra. However, if the nonhomogeneous medium has a continuous variation of properties (gradient material), then the problems are reduced to Abel's integral equation.
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 1, Solid mechanics, strength of materials