Strength of Stress Singularities at Crack Tips for Flexural and Torsional ProblemsSource: Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 003::page 419Author:G. C. Sih
DOI: 10.1115/1.3636572Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Continuing a series of studies on the fracture analysis of elastic bodies, the present paper provides a complex variable method for evaluating the strength of stress singularities at crack tips encountered in the flexure and torsion of cylindrical bars. As a result of the complex flexure functions being sectionally holomorphic for crack problems, the singular character of the shearing stresses is found to be of the type r−1/2 , where r is radial distance from the crack point. Crack-tip stress-intensity-factor solutions are given for problems involving both imbedded and surface cracks in bars. The results suggest the possibility of extending the Griffith-Irwin theory of static fracture to flexural and torsional problems.
keyword(s): Fracture (Materials) , Stress singularity , Stress , Bending (Stress) , Fracture (Process) , Functions , Shearing , Surface cracks AND Torsion ,
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| contributor author | G. C. Sih | |
| date accessioned | 2017-05-08T23:08:10Z | |
| date available | 2017-05-08T23:08:10Z | |
| date copyright | September, 1963 | |
| date issued | 1963 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25720#419_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/93001 | |
| description abstract | Continuing a series of studies on the fracture analysis of elastic bodies, the present paper provides a complex variable method for evaluating the strength of stress singularities at crack tips encountered in the flexure and torsion of cylindrical bars. As a result of the complex flexure functions being sectionally holomorphic for crack problems, the singular character of the shearing stresses is found to be of the type r−1/2 , where r is radial distance from the crack point. Crack-tip stress-intensity-factor solutions are given for problems involving both imbedded and surface cracks in bars. The results suggest the possibility of extending the Griffith-Irwin theory of static fracture to flexural and torsional problems. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Strength of Stress Singularities at Crack Tips for Flexural and Torsional Problems | |
| type | Journal Paper | |
| journal volume | 30 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3636572 | |
| journal fristpage | 419 | |
| journal lastpage | 425 | |
| identifier eissn | 1528-9036 | |
| keywords | Fracture (Materials) | |
| keywords | Stress singularity | |
| keywords | Stress | |
| keywords | Bending (Stress) | |
| keywords | Fracture (Process) | |
| keywords | Functions | |
| keywords | Shearing | |
| keywords | Surface cracks AND Torsion | |
| tree | Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 003 | |
| contenttype | Fulltext |