Asymmetric Mixed Boundary-Value Problems of the Elastic Half-SpaceSource: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 002::page 411Author:R. A. Westmann
DOI: 10.1115/1.3625815Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Solutions are presented, within the scope of classical elastostatics, for a class of asymmetric mixed boundary-value problems of the elastic half-space. The boundary conditions considered are prescribed interior and exterior to a circle and are mixed with respect to shears and tangential displacements. Using an established integral-solution form, the problem is reduced to two pairs of simultaneous dual integral equations for which the solution is known. Two illustrative examples, motivated by problems in fracture mechanics, are presented; the resulting stress and displacement fields are given in closed form.
keyword(s): Boundary-value problems , Elastic half space , Integral equations , Displacement , Fracture mechanics AND Stress ,
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| contributor author | R. A. Westmann | |
| date accessioned | 2017-05-08T23:28:03Z | |
| date available | 2017-05-08T23:28:03Z | |
| date copyright | June, 1965 | |
| date issued | 1965 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25803#411_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/104401 | |
| description abstract | Solutions are presented, within the scope of classical elastostatics, for a class of asymmetric mixed boundary-value problems of the elastic half-space. The boundary conditions considered are prescribed interior and exterior to a circle and are mixed with respect to shears and tangential displacements. Using an established integral-solution form, the problem is reduced to two pairs of simultaneous dual integral equations for which the solution is known. Two illustrative examples, motivated by problems in fracture mechanics, are presented; the resulting stress and displacement fields are given in closed form. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Asymmetric Mixed Boundary-Value Problems of the Elastic Half-Space | |
| type | Journal Paper | |
| journal volume | 32 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3625815 | |
| journal fristpage | 411 | |
| journal lastpage | 417 | |
| identifier eissn | 1528-9036 | |
| keywords | Boundary-value problems | |
| keywords | Elastic half space | |
| keywords | Integral equations | |
| keywords | Displacement | |
| keywords | Fracture mechanics AND Stress | |
| tree | Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 002 | |
| contenttype | Fulltext |