It is shown in this paper that for given loads on the elastic quarter-plane the prescribed boundary conditions can be fulfilled by repeated superposition of known solutions for the elastic half-plane. This leads to a sequence of infinite integrals of a simple recursion pattern. The solution is exact, since the sequence may be continued to obtain any required accuracy. Solutions are derived in this manner for three types of boundary loads: (a) concentrated normal force, (b) concentrated tangential force, and (c) partially distributed uniform loading.
A Method of Solution for the Elastic Quarter-Plane
The Technological Institute, Northwestern University, Evanston, Ill.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Hete´nyi, M. (June 1, 1960). "A Method of Solution for the Elastic Quarter-Plane." ASME. J. Appl. Mech. June 1960; 27(2): 289–296. https://doi.org/10.1115/1.3643954
Download citation file:
- Ris (Zotero)
- Reference Manager
Get Email Alerts
Force Barrier for Lipid Sorting in the Formation of Membrane Nanotubes
J. Appl. Mech (December 2019)
Mode II fracture of an elastic-plastic sandwich layer
J. Appl. Mech