Abstract
In this paper, the complete static response of two joined dissimilar half-spaces due to an arbitrary interior point load is derived. By means of a method of displacement potentials and integral transforms, a dual format of the solution in the form of a Hankel integral representation and algebraic closed-form expressions is presented. As illustrations, its analytical degeneration to benchmark solutions for a homogeneous medium as well as its variation under general geometric and material conditions are shown. The importance of the dual format of the bi-material solution in connection with the method of asymptotic decomposition to the development of a rigorous treatment of its dynamic counterpart is also demonstrated.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 493-516 |
| Number of pages | 24 |
| Journal | International Journal of Solids and Structures |
| Volume | 36 |
| Issue number | 4 |
| DOIs | |
| State | Published - Feb 1 1999 |
| Externally published | Yes |
Bibliographical note
Funding Information:The support by the National Science Foundation through Grant No. CMS-9320539 during the course of this investigation is gratefully acknowledged.