Transient Response of an Elastic Half Space Subjected to a Reciprocating Antiplane Shear LoadSource: Journal of Applied Mechanics:;1976:;volume( 043 ):;issue: 004::page 625Author:K. Watanabe
DOI: 10.1115/1.3423944Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper we consider a problem of the response of an elastic half space subjected to an antiplane shear load. The load is suddenly applied and thereafter moves in an interval reciprocally as a trigonometric function of time. An analytical solution for the displacement is obtained in terms of single integration. It is shown that the discontinuity in the displacement occurs only for the case that the initial (maximum) speed of the load is greater than the speed of SH-wave. In this case the displacement has a finite jump on the leading wave front and a logarithmic discontinuity immediately behind the wave front which emanates from a point where the load speed comes up with SH-wave speed. Numerical calculations are carried out for several cases of the initial (maximum) speed of the load and are shown graphically.
keyword(s): Stress , Shear (Mechanics) , Transients (Dynamics) , Elastic half space , Waves AND Displacement ,
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| contributor author | K. Watanabe | |
| date accessioned | 2017-05-08T22:59:58Z | |
| date available | 2017-05-08T22:59:58Z | |
| date copyright | December, 1976 | |
| date issued | 1976 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26065#625_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88231 | |
| description abstract | In this paper we consider a problem of the response of an elastic half space subjected to an antiplane shear load. The load is suddenly applied and thereafter moves in an interval reciprocally as a trigonometric function of time. An analytical solution for the displacement is obtained in terms of single integration. It is shown that the discontinuity in the displacement occurs only for the case that the initial (maximum) speed of the load is greater than the speed of SH-wave. In this case the displacement has a finite jump on the leading wave front and a logarithmic discontinuity immediately behind the wave front which emanates from a point where the load speed comes up with SH-wave speed. Numerical calculations are carried out for several cases of the initial (maximum) speed of the load and are shown graphically. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Transient Response of an Elastic Half Space Subjected to a Reciprocating Antiplane Shear Load | |
| type | Journal Paper | |
| journal volume | 43 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423944 | |
| journal fristpage | 625 | |
| journal lastpage | 629 | |
| identifier eissn | 1528-9036 | |
| keywords | Stress | |
| keywords | Shear (Mechanics) | |
| keywords | Transients (Dynamics) | |
| keywords | Elastic half space | |
| keywords | Waves AND Displacement | |
| tree | Journal of Applied Mechanics:;1976:;volume( 043 ):;issue: 004 | |
| contenttype | Fulltext |