Abstract
An analytical treatment is presented for the determination of the response of a vertically-loaded disc embedded in a semi-infinite elastic medium. By means of Love's method of potential and a set of relaxed boundary conditions, the mixed boundary value problem is formulated as dual integral equations with the aid of Hankel transforms. On the reduction of the dual integral equations to a Fredholm integral equation which features a closed-form kernel, solutions to the inclusion problem are computed. In addition to including existing solutions for zero and infinite embedment as degenerate cases, the present analysis reveals a severe boundary-layer phenomenon which is apt to be of significance to this class of problems in general. As illustrations, numerical results on the load-displacement relation, the response of the embedding medium, as well as the contact load distribution are included.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: ZAMP Zeitschrift f�r angewandte Mathematik und Physik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.