A Method of Solution for the Elastic Quarter-PlaneSource: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002::page 289Author:M. Hetényi
DOI: 10.1115/1.3643954Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Force , Stress AND Boundary-value problems ,
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| contributor author | M. Hetényi | |
| date accessioned | 2017-05-08T23:03:11Z | |
| date available | 2017-05-08T23:03:11Z | |
| date copyright | June, 1960 | |
| date issued | 1960 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25541#289_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/90056 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Method of Solution for the Elastic Quarter-Plane | |
| type | Journal Paper | |
| journal volume | 27 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3643954 | |
| journal fristpage | 289 | |
| journal lastpage | 296 | |
| identifier eissn | 1528-9036 | |
| keywords | Force | |
| keywords | Stress AND Boundary-value problems | |
| tree | Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002 | |
| contenttype | Fulltext |