caa a22 4500 477077552 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00036618 doi (NATIONALLICENCE)springer-10.1007/BF00036618 Torsion of an elastic non-homogeneous layer by two circular discs [Elektronische Daten] [Hassan Hassan, Fayez Rofaeel] Two circular discs of different radii on the opposite faces of an infinite, non-homogeneous elastic layer, whose rigidity is assumed to vary with two cylindrical coordinates r, z by a power law (% MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbnL2yY9% 2CVzgDGmvyUnhitvMCPzgarmWu51MyVXgaruWqVvNCPvMCG4uz3bqe% fqvATv2CG4uz3bIuV1wyUbqee0evGueE0jxyaibaieYlf9irVeeu0d% Xdh9vqqj-hEeeu0xXdbba9frFf0-OqFfea0dXdd9vqaq-JfrVkFHe9% pgea0dXdar-Jb9hs0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaaca% qabeaadaabauaaaOqaaiabeY7aTjabg2da9iabeY7aTnaaBaaaleaa% cqaHXoqycaGGSaaabeaakiabek7aInaaCaaaleqabaGaeqiXdq3aaW% baaWqabeaacqaHXoqyaaWccaWG6bWaaWbaaWqabeaacqaHYoGyaaaa% aaaa!4CAB!\[\mu = \mu _{\alpha ,} \beta ^{\tau ^\alpha z^\beta } \]), are forced to rotate through two different angles of rotation. The rest of each surface is kept stress free. Using the Hankel integral transform, this problem is shown to lead to two pairs of dual integral equations, the solution of which is governed by two simultaneous Fredholm integral equations of the second kind. The latter may be solved either numerically or by iteration (in the case of sufficiently large values of the layer's thickness compared to the maximum of the radii of the circles and for β=0). The solutions for some particular cases previously investigated are recovered by assigning specific numerical values to physical and geometrical parameters. Expressions for some quantities of physical importance, such as the torques applied on the two surfaces and the stress intensity factors, are obtained for the two surfaces and some numerical values are displayed graphically. Kluwer Academic Publishers, 1996 Torsion nationallicence Nonhomogeneity nationallicence Elastic layer nationallicence Hassan Hassan Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt aut Rofaeel Fayez Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt aut Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/5(1996-09-01), 557-572 0022-0833 30:5<557 1996 30 10665 https://doi.org/10.1007/BF00036618 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00036618 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hassan Hassan Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt aut NATIONALLICENCE 700 1- Rofaeel Fayez 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), 557-572 0022-0833 30:5<557 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer