caa a22 4500 477077501 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00036617 doi (NATIONALLICENCE)springer-10.1007/BF00036617 Hassan Hassan Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt aut Torsion of a non-homogeneous infinite elastic cylinder slackened by a circular cut [Elektronische Daten] [Hassan Hassan] We consider the torsional deformation of a non-homogeneous infinite elastic cylinder slackened by an external circular cut. The shear modulus of the material of the cylinder is assumed to vary with the radial coordinate by a power law. It is assumed that the lateral surface of the cylinder as well as the surface of the cut are free of stress. The main object of this study is to establish the effect of the non-homogeneity on the stress intensity factor at the tip of the cut. The problem leads to a pair of dual series relations, the solution of which is governed by a Fredholm integral equation of the second kind with a symmetric kernel. This equation is solved numerically by reducing it to an algebraic system. It is concluded that for any degree of non-homogeneity and for D, the relative depth of the cut, greater than 0.6, the cylinder may be replaced by a half-space. However, as the non-homogeneity increases, D decreases. Kluwer Academic Publishers, 1996 Torsion nationallicence Nonhomogeneity nationallicence Elastic cylinder nationallicence Circular cut nationallicence Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 547-555 0022-0833 30:5<547 1996 30 10665 https://doi.org/10.1007/BF00036617 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00036617 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hassan Hassan Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 547-555 0022-0833 30:5<547 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer