Equilibrium of an elastic layer weakened by plane cracks

Autor:	B.I. Smetanin, B.V. Sobol
Rok vydání:	1984
Předmět:	Plane (geometry) Applied Mathematics Mechanical Engineering Mathematical analysis Geometry Integral equation Action (physics) Normal load Variational method Mechanics of Materials Modeling and Simulation Shaping Middle plane Layer (electronics) Mathematics
Zdroj:	Journal of Applied Mathematics and Mechanics. 48:757-764
ISSN:	0021-8928
Popis:	The spatial problem of the elastic equilibrium of a layer in whose middle plane there is a system of cracks is considered. The cracks are maintained open under the action of a normal load applied to their edges. The layer faces are compressed between two rigid smooth foundations. The problem is reduced to solving an integral equation of the first kind. The asymptotic methods of “large and small λ” /1/ as well as the method of successive approximations and a variational method are used to construct the solutions of this equation for elliptically and rectangularly shaped cracks in different ranges of variation of the geomtrical parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::54c373504866a8a83fbc223fd94a8617 https://doi.org/10.1016/0021-8928(84)90046-7 Zobrazit plný text záznamu