Dynamical Response of an Elastic Half-Space to Tangential Surface LoadingsSource: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003::page 559Author:Chi-Chang Chao
DOI: 10.1115/1.3644041Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Exact and closed-form solutions are obtained for both tangential and vertical surface displacements of a homogeneous isotropic elastic half-space due to the application, at a point on the surface, of a concentrated force tangential to the plane boundary and varying with time as the Heaviside unit function. Similar expressions for the displacements in the interior of the body along a line directly below the applied force are derived. Solutions are obtained by a semi-inverse method with the aid of Laplace and Hankel transforms. The reciprocal relation in the static case, between tangential displacement due to a vertical force and vertical displacement due to a tangential force, is preserved in the dynamic case.
keyword(s): Elastic half space , Force AND Displacement ,
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contributor author | Chi-Chang Chao | |
date accessioned | 2017-05-09T01:36:17Z | |
date available | 2017-05-09T01:36:17Z | |
date copyright | September, 1960 | |
date issued | 1960 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-25555#559_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163707 | |
description abstract | Exact and closed-form solutions are obtained for both tangential and vertical surface displacements of a homogeneous isotropic elastic half-space due to the application, at a point on the surface, of a concentrated force tangential to the plane boundary and varying with time as the Heaviside unit function. Similar expressions for the displacements in the interior of the body along a line directly below the applied force are derived. Solutions are obtained by a semi-inverse method with the aid of Laplace and Hankel transforms. The reciprocal relation in the static case, between tangential displacement due to a vertical force and vertical displacement due to a tangential force, is preserved in the dynamic case. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Dynamical Response of an Elastic Half-Space to Tangential Surface Loadings | |
type | Journal Paper | |
journal volume | 27 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3644041 | |
journal fristpage | 559 | |
journal lastpage | 567 | |
identifier eissn | 1528-9036 | |
keywords | Elastic half space | |
keywords | Force AND Displacement | |
tree | Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003 | |
contenttype | Fulltext |