A Dislocation Green’s Function for the Analysis of Multiple Coplanar Cracks or Cracks With Nonuniform Crack FrontsSource: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 003::page 589Author:M. T. Hanson
DOI: 10.1115/1.2897063Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This analysis considers the interaction between a penny-shaped crack or a circular external crack and a mode I “opening” point dislocation. The dislocation is taken to lie on the plane of the crack. Symmetry considerations allow the reduction to a mixed boundary value problem for a half space which is solved by well-known methods from potential theory. Closed-form expressions are obtained for the crack opening displacement, stress on the symmetry plane, and the mode I stress intensity factor around the internal or external crack. The use of the present solution for the accurate numerical treatment of cracks with large amplitude variations in the crack front curvature as well as cases of multiple coplanar cracks is outlined.
keyword(s): Fracture (Materials) , Dislocations , Stress , Potential theory (Physics) , Boundary-value problems , Displacement AND Elastic half space ,
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| contributor author | M. T. Hanson | |
| date accessioned | 2017-05-08T23:31:44Z | |
| date available | 2017-05-08T23:31:44Z | |
| date copyright | September, 1990 | |
| date issued | 1990 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26324#589_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/106408 | |
| description abstract | This analysis considers the interaction between a penny-shaped crack or a circular external crack and a mode I “opening” point dislocation. The dislocation is taken to lie on the plane of the crack. Symmetry considerations allow the reduction to a mixed boundary value problem for a half space which is solved by well-known methods from potential theory. Closed-form expressions are obtained for the crack opening displacement, stress on the symmetry plane, and the mode I stress intensity factor around the internal or external crack. The use of the present solution for the accurate numerical treatment of cracks with large amplitude variations in the crack front curvature as well as cases of multiple coplanar cracks is outlined. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Dislocation Green’s Function for the Analysis of Multiple Coplanar Cracks or Cracks With Nonuniform Crack Fronts | |
| type | Journal Paper | |
| journal volume | 57 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2897063 | |
| journal fristpage | 589 | |
| journal lastpage | 595 | |
| identifier eissn | 1528-9036 | |
| keywords | Fracture (Materials) | |
| keywords | Dislocations | |
| keywords | Stress | |
| keywords | Potential theory (Physics) | |
| keywords | Boundary-value problems | |
| keywords | Displacement AND Elastic half space | |
| tree | Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 003 | |
| contenttype | Fulltext |