Abstract
An infinite elastic body containing a Griffith crack and a circular cylindrical inclusion of different elastic material, is subject to an antiplane state of strain under the action of uniformly distributed shearing forces. The main aim of the paper consists in the determination of the influence: of the inclusion on the state of stress around the crack, and on the stress intensity factor at the crack tip in particular. A method of consecutive approximations (the first and second approximations) is used.References
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I. N. SNEDDON, M. LOWENGRUB, Crack problems in the classical theory of elasticity, J. Wiley and Sons, Inc. New York-London-Sydney 1969.
G. C. STH, H. LIEBOWITZ, Mathematical theories of brittle fracture, Fracture, 2, Academic Press, New York and London 1968.
4. H. И. Мусхелишвили, Некоторые основные задачи математической теории упругости,.
Изд. Наука, Москва 1966.
J. R. RICE, Mathematical analysis in the mechanics of fracture, Fracture, 2, Academic Press, New York and London 1968.
6. И. С. Градштейн, И. M. Рыжик, Таблицы интервалов, сумм, рядов и произведений, Физ-
матгиз, Москва 1962.
O. TAMATE, The effect of a circular inclusion on the stresses around a line crack in a sheet under tension, Int. J. Fracture Mech., 4, 3, 1968.
