Summary
The aim of this paper is (1) to develop a rational method for the analysis of an arbitrarily laminated elastic, isotropic or transversely isotropic hollow sphere under internal and/or external pressure, (2) to solve the problem of a periodically layered sphere consisting of many equal groups of n different thin layers. The transfer matrix method is used, and exact closed-form solutions are worked out, supplemented by a numerical example. It turns out that by means of the proposed homogenization an originally (periodically) inhomogeneous isotropic sphere is replaced by a homogeneous anisotropic one belonging to the type of spherical symmetric anisotropy.
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Received 20 October 1997; accepted for publication 15 December 1997
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Bufler, H. The arbitrarily and the periodically laminated elastic hollow sphere: exact solutions and homogenization. Archive of Applied Mechanics 68, 579–588 (1998). https://doi.org/10.1007/s004190050188
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DOI: https://doi.org/10.1007/s004190050188