Elastic stresses in a sphere with an exogenous eccentric spherical inclusion

Autor:	I. I. Fedik, L. G. Smirnov
Rok vydání:	1993
Předmět:	Statistics and Probability Applied Mathematics General Mathematics Computation Mathematical analysis Rotational symmetry Algebraic equation symbols.namesake Taylor series symbols SPHERES Mathematics Stress concentration Variable (mathematics) Analytic function
Zdroj:	Journal of Soviet Mathematics. 64:966-970
ISSN:	1573-8795 0090-4104
DOI:	10.1007/bf01140327
Popis:	We study the axisymmetric elastici problem for a sphere with an exogenous eccentric spherical inclusion. The solution is represented in terms of analytic functions ϕ j(z) andψ j(z)of a complex variable. The coefficients of the generalized Laurent and Taylor expansions of the solutions are found via a certain system of linear algebraic equations. The results of computation are given for the stress concentrations in the case when the inclusion degenerates into a pore and a constant pressure from within is acting, as well as for the case of an inclusion subjected to a preliminary proper strain with various distances between the centers of the spheres.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a6521c8e945e87fdee1ad65df075703d https://doi.org/10.1007/bf01140327 Zobrazit plný text záznamu Full text from SpringerLink