Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Elastic analysis of an axisymmetric stress field perturbed by a spheroidal inhomogeneity

Author: W. T. Chen
Journal: Quart. Appl. Math. 28 (1971), 517-525
DOI: https://doi.org/10.1090/qam/99772
MathSciNet review: QAM99772
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Abstract | References | Additional Information

Abstract: An infinite elastic medium contains an elastic spheroidal inclusion. Both materials are transversely isotropic. Assuming that the stress field in the absence of any inhomogeneity is prescribed, it is desired to calculate the modification caused by the inclusion. This paper presents a general solution to this elasticity problem with the restriction that the prescribed stress field is axisymmetric. The analysis is based upon some new identities in Legendre functions, which are derived in this paper. The solution is in the form of combinations of Legendre functions. An example of a spheroidal cavity in a tension field is given.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/99772
Article copyright: © Copyright 1971 American Mathematical Society

American Mathematical Society