Axisymmetric mixed boundary value problems for an elastic halfspace with a periodic nonhomogeneity

✍ Scribed by A.P.S. Selvadurai; Q. Lan

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 944 KB
• Volume: 35
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(97)00160-1

✦ Synopsis

This paper examines certain axisymmetric contact, crack and inclusion problems related to a nonhomogeneous elastic medium where the two elastic parameters are periodic functions of the axial variable z. A general formulation of the equations governing the axisymmetric deformations of the medium is presented. It is shown that the mixed boundary value problems can be reduced to a set of two ordinary differential equations and a Fredholm integral equation of the second kind. The ordinary differential equations are solved in a numerical fashion, and these solutions are used to evaluate the kernel function of the Fredhohn integral equation. The resulting integral equations governing the contact problem are also solved via a numerical technique to obtain the loaddisplacement relationship for a rigid circular indentor in smooth contact with a periodically nonhomogeneous elastic halfspace region. The procedures are extended to examine the problems associated with a penny-shaped crack and a rigid disc inclusion embedded in such a nonhomogeneous elastic medium.