Green Function for the Problem of a Plane Containing a Circular Hole With Surface EffectsSource: Journal of Applied Mechanics:;2011:;volume( 078 ):;issue: 002::page 21008DOI: 10.1115/1.4002579Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents the complex Green function for the plane-strain problem of an infinite, isotropic elastic plane containing a circular hole with surface effects and subjected to a force applied at a point outside of the hole. The analysis is based on the and [1975, “A Continuum Theory of Elastic Material Surfaces,” Arch. Ration. Mech. Anal., 57, pp. 291–323; 1978, “Surface Stress in Solids,” Int. J. Solids Struct., 14, pp. 431–440] model, in which the surface of the hole possesses its own mechanical properties and surface tension. Systematic parametric studies are performed to investigate the effects of both surface elasticity and surface tension on the distribution of hoop stresses on the boundary of the hole and on a line that connects the point of the applied force and the center of the hole.
keyword(s): Force , Surface tension , Elasticity , Surfaces (Materials) , Stress , Differential equations , Functions , Plane strain , Mechanical properties , Solids AND Arches ,
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| contributor author | S. G. Mogilevskaya | |
| contributor author | A. V. Pyatigorets | |
| contributor author | S. L. Crouch | |
| date accessioned | 2017-05-09T00:42:13Z | |
| date available | 2017-05-09T00:42:13Z | |
| date copyright | March, 2011 | |
| date issued | 2011 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26801#021008_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/145287 | |
| description abstract | This paper presents the complex Green function for the plane-strain problem of an infinite, isotropic elastic plane containing a circular hole with surface effects and subjected to a force applied at a point outside of the hole. The analysis is based on the and [1975, “A Continuum Theory of Elastic Material Surfaces,” Arch. Ration. Mech. Anal., 57, pp. 291–323; 1978, “Surface Stress in Solids,” Int. J. Solids Struct., 14, pp. 431–440] model, in which the surface of the hole possesses its own mechanical properties and surface tension. Systematic parametric studies are performed to investigate the effects of both surface elasticity and surface tension on the distribution of hoop stresses on the boundary of the hole and on a line that connects the point of the applied force and the center of the hole. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Green Function for the Problem of a Plane Containing a Circular Hole With Surface Effects | |
| type | Journal Paper | |
| journal volume | 78 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.4002579 | |
| journal fristpage | 21008 | |
| identifier eissn | 1528-9036 | |
| keywords | Force | |
| keywords | Surface tension | |
| keywords | Elasticity | |
| keywords | Surfaces (Materials) | |
| keywords | Stress | |
| keywords | Differential equations | |
| keywords | Functions | |
| keywords | Plane strain | |
| keywords | Mechanical properties | |
| keywords | Solids AND Arches | |
| tree | Journal of Applied Mechanics:;2011:;volume( 078 ):;issue: 002 | |
| contenttype | Fulltext |