Cavities vis-à-vis Rigid Inclusions and Some Related General Results in Plane ElasticitySource: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004::page 786Author:John Dundurs
DOI: 10.1115/1.3176172Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: There is a strange feature of plane elasticity that seems to have gone unnoticed: The stresses in a body that contains rigid inclusions and is loaded by specified surface tractions depend on the Poisson ratio of the material. If the Poisson ratio in this stress field is set equal to +1 for plane strain, or +∞ for plane stress, the rigid inclusions become cavities for elastic constants within the physical range. The paper pursues this circumstance, and in doing so also produces several useful by-products that are connected with the stretching and curvature change of a boundary.
keyword(s): Elasticity , Cavities , Stress , Poisson ratio , Elastic constants AND Plane strain ,
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| contributor author | John Dundurs | |
| date accessioned | 2017-05-08T23:29:00Z | |
| date available | 2017-05-08T23:29:00Z | |
| date copyright | December, 1989 | |
| date issued | 1989 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26315#786_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/104850 | |
| description abstract | There is a strange feature of plane elasticity that seems to have gone unnoticed: The stresses in a body that contains rigid inclusions and is loaded by specified surface tractions depend on the Poisson ratio of the material. If the Poisson ratio in this stress field is set equal to +1 for plane strain, or +∞ for plane stress, the rigid inclusions become cavities for elastic constants within the physical range. The paper pursues this circumstance, and in doing so also produces several useful by-products that are connected with the stretching and curvature change of a boundary. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Cavities vis-à-vis Rigid Inclusions and Some Related General Results in Plane Elasticity | |
| type | Journal Paper | |
| journal volume | 56 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3176172 | |
| journal fristpage | 786 | |
| journal lastpage | 790 | |
| identifier eissn | 1528-9036 | |
| keywords | Elasticity | |
| keywords | Cavities | |
| keywords | Stress | |
| keywords | Poisson ratio | |
| keywords | Elastic constants AND Plane strain | |
| tree | Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004 | |
| contenttype | Fulltext |