Axisymmetric problem for a spherical crack on the interface of elastic media

Autor:	I. V. Lebedyeva, M. A. Martynenko
Rok vydání:	2006
Předmět:	General Mathematics Mathematical analysis General Engineering Rotational symmetry Internal pressure Geometry Singular integral Eigenfunction Integral equation Legendre function Physics::Geophysics Legendre polynomials Stress intensity factor Mathematics
Zdroj:	Journal of Engineering Mathematics. 56:371-384
ISSN:	1573-2703 0022-0833
DOI:	10.1007/s10665-006-9050-5
Popis:	A problem concerning a spherical interfacial crack is solved by the eigenfunction method. The problem is reduced to a coupled system of dual-series equations in terms of Legendre functions and then to a system of singular integral equations for two unknown functions. The behaviour of the solution near the edge of the spherical crack, and the stress-intensity factors and crack-opening displacements are studied. The case when the crack surfaces are under normal internal pressure of constant intensity is examined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8d538a612fefdd22387e7d37afc56f74 https://doi.org/10.1007/s10665-006-9050-5 Zobrazit plný text záznamu Full text from SpringerLink