Transient Shear Waves in Two Joined Elastic Quarter SpacesSource: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003::page 491Author:J. D. Achenbach
DOI: 10.1115/1.3564706Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A half space composed of two joined elastic quarter spaces of different material properties is subjected to time-varying shear tractions, which are applied parallel to the plane of juncture. The method of homogeneous solutions is used to solve the transient wave-propagation problem for the case that the surface tractions vary in time as Dirac delta functions. For surface tractions varying in time as Heaviside step functions, Duhamel superposition is employed to derive closed-form expressions for the shear stress in the plane of juncture. The interface shear stress shows a logarithmic singularity at the free surface.
keyword(s): Waves , Shear (Mechanics) , Space , Stress , Functions , Wave propagation , Materials properties AND Elastic half space ,
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| contributor author | J. D. Achenbach | |
| date accessioned | 2017-05-09T00:15:52Z | |
| date available | 2017-05-09T00:15:52Z | |
| date copyright | September, 1969 | |
| date issued | 1969 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25895#491_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/131635 | |
| description abstract | A half space composed of two joined elastic quarter spaces of different material properties is subjected to time-varying shear tractions, which are applied parallel to the plane of juncture. The method of homogeneous solutions is used to solve the transient wave-propagation problem for the case that the surface tractions vary in time as Dirac delta functions. For surface tractions varying in time as Heaviside step functions, Duhamel superposition is employed to derive closed-form expressions for the shear stress in the plane of juncture. The interface shear stress shows a logarithmic singularity at the free surface. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Transient Shear Waves in Two Joined Elastic Quarter Spaces | |
| type | Journal Paper | |
| journal volume | 36 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3564706 | |
| journal fristpage | 491 | |
| journal lastpage | 496 | |
| identifier eissn | 1528-9036 | |
| keywords | Waves | |
| keywords | Shear (Mechanics) | |
| keywords | Space | |
| keywords | Stress | |
| keywords | Functions | |
| keywords | Wave propagation | |
| keywords | Materials properties AND Elastic half space | |
| tree | Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003 | |
| contenttype | Fulltext |