000021327 001__ 21327
000021327 005__ 20170522124349.0
000021327 04107 $$aeng
000021327 046__ $$k2017-05-15
000021327 100__ $$aKebli, B.
000021327 24500 $$aAXISYMMETRIC DEFORMATION OF AN ELASTIC MEDIUM WEAKENED BY AN ANNULAR CRACK

000021327 24630 $$n23.$$pEngineering Mechanics 2017
000021327 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021327 506__ $$arestricted
000021327 520__ $$2eng$$aThe present work deals with the study of an axisymmetric flat annular crack problem in a semiinfinite elastic medium. The external surface is supposed without mechanical loads while the crack surface is subjected to a uniform internal pressure. The mixed boundary value problem is solved by the Hankel integral transforms method using the Boussinnesq’s stress functions. Then the three-part mixed boundary value problem is converted to a system of coupled triple integral equations of Bessel functions. Furthermore, by applying some integral relations and involving the addition Gengenbauer formula, the system is reduced to a solution of an infinite algebraic system equations for determining the unknown coefficients development. The explicit formula for the stress intensity factors near the crack fronts are derived, by means of those coefficients.

000021327 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021327 653__ $$aAxisymmetric deformation, Mixed boundary value problem, Annular crack, Triple integral equations, Stress intensity factors.

000021327 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021327 720__ $$aKebli, B.$$iBaka, Z.
000021327 8560_ $$ffischerc@itam.cas.cz
000021327 8564_ $$s883104$$uhttps://invenio.itam.cas.cz/record/21327/files/0450.pdf$$yOriginal version of the author's contribution in proceedings, page 450, section SOL.
000021327 962__ $$r21225
000021327 980__ $$aPAPER