Vibrations of a solid nonuniform medium induced by a source applied to an expanding circle on the boundary

Autor:	G. P. Kovalenko
Rok vydání:	1992
Předmět:	Statistics and Probability Laplace transform Applied Mathematics General Mathematics Mathematical analysis Boundary (topology) Inverse Laplace transform Half-space Distortion (mathematics) symbols.namesake Mach number Displacement field symbols Penetration depth Mathematics
Zdroj:	Journal of Soviet Mathematics. 60:1385-1389
ISSN:	1573-8795 0090-4104
DOI:	10.1007/bf01679644
Popis:	We find the unsteady displacement field in a solid elastic half space whose Lame parameter and density depend upon depth into the half space, assuming that the rate of expansion of the circle is constant. The inverse Laplace transform is evaluated using Laplace's method assuming that the degree of nonuniformity of the medium is small. Various effects caused by the nonuniformity of the medium are discussed, including the distortion of the wave fronts, the finite penetration depth of Mach waves in a nonuniform medium, and so on.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b1578bdc0a0c73951eb70723617a380f https://doi.org/10.1007/bf01679644 Zobrazit plný text záznamu Full text from SpringerLink