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On Nonhomogeneous Elastic Spheres
Author(s) -
Huston R. L.
Publication year - 1964
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19640441206
Subject(s) - spheres , displacement (psychology) , deformation (meteorology) , circular symmetry , physics , boundary (topology) , classical mechanics , symmetry (geometry) , mathematical analysis , vibration , hankel transform , boundary value problem , mathematics , geometry , bessel function , psychology , astronomy , psychotherapist , quantum mechanics , meteorology
Radial deformation due to body forces and free radial vibration of nonhomogeneous elastic spheres is investigated. The elastic coefficients and the mass density are taken to vary as the n‐th power of the distance from the sphere center. The boundary conditions are general insofar as spherical symmetry is maintained. The stress‐displacement relations of Stojanovitch are used and solutions are obtained through the use of a generalized finite Hankel transform.