An accurate method for solving crack problems with discontinuous crack-line tractions
A numerical method for the integration of the singular integral equation resulting from a surface crack with discontinuous tractions is presented. The crack is modelled as a pile-up of dislocations, and the dislocation density function is partitioned into three terms: A singular term due to the trac...
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| Veröffentlicht in: | Computational mechanics 1997-05, Vol.19 (6), p.496-500 |
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| container_title | Computational mechanics |
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| creator | ANDREASEN, J. H KARIHALOO, B. L |
| description | A numerical method for the integration of the singular integral equation resulting from a surface crack with discontinuous tractions is presented. The crack is modelled as a pile-up of dislocations, and the dislocation density function is partitioned into three terms: A singular term due to the traction discontinuity, a square-root-singular term from the crack tip, and a bounded and continuous residual term. By integrating the singular terms explicitly only a well-behaved residual dislocation density function has to be determined numerically, together with the intensity of the square-root-singular term. The method is applied to the determination of stress intensity factors for a surface crack growing towards, and through, a circular inclusion, and to a surface crack growing into a zone of phase-transformable material. |
| doi_str_mv | 10.1007/s004660050198 |
| format | Article |
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The method is applied to the determination of stress intensity factors for a surface crack growing towards, and through, a circular inclusion, and to a surface crack growing into a zone of phase-transformable material.</description><identifier>ISSN: 0178-7675</identifier><identifier>EISSN: 1432-0924</identifier><identifier>DOI: 10.1007/s004660050198</identifier><identifier>CODEN: CMMEEE</identifier><language>eng</language><publisher>Heidelberg: Springer</publisher><subject>Crack tips ; Discontinuity ; Dislocation density ; Exact sciences and technology ; Fracture mechanics (crack, fatigue, damage...) ; Fracture mechanics, fatigue and cracks ; Fundamental areas of phenomenology (including applications) ; Numerical methods ; Phase transitions ; Physics ; Singular integral equations ; Solid mechanics ; Stress intensity factors ; Structural and continuum mechanics ; Surface cracks</subject><ispartof>Computational mechanics, 1997-05, Vol.19 (6), p.496-500</ispartof><rights>1997 INIST-CNRS</rights><rights>Computational Mechanics is a copyright of Springer, (1997). 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The crack is modelled as a pile-up of dislocations, and the dislocation density function is partitioned into three terms: A singular term due to the traction discontinuity, a square-root-singular term from the crack tip, and a bounded and continuous residual term. By integrating the singular terms explicitly only a well-behaved residual dislocation density function has to be determined numerically, together with the intensity of the square-root-singular term. The method is applied to the determination of stress intensity factors for a surface crack growing towards, and through, a circular inclusion, and to a surface crack growing into a zone of phase-transformable material.</description><subject>Crack tips</subject><subject>Discontinuity</subject><subject>Dislocation density</subject><subject>Exact sciences and technology</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Fracture mechanics, fatigue and cracks</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Numerical methods</subject><subject>Phase transitions</subject><subject>Physics</subject><subject>Singular integral equations</subject><subject>Solid mechanics</subject><subject>Stress intensity factors</subject><subject>Structural and continuum mechanics</subject><subject>Surface cracks</subject><issn>0178-7675</issn><issn>1432-0924</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNpVkM1LAzEQxYMoWKtH7wG9rk6STbY5luIXFLzY85LNh03dJjXJKv73bmkRPM08-M2bx0PomsAdAWjuM0AtBAAHImcnaEJqRiuQtD5FEyDNrGpEw8_RRc4bAMJnjE_Qah6w0npIqli8tWUdDXYx4Rz7Lx_esU5Kf-Bdil1vtxl_-7LGxmcdQ_FhiEM-EFXvg8VlXIuPIV-iM6f6bK-Oc4pWjw9vi-dq-fr0spgvK00lLVUDXEjOaqPqTplGaCk10TPHbCdGpXVnHCHUNo0xzo2aWuaMtJRLpoir2RTdHHzHgJ-DzaXdxCGF8WVLqSCcUKBipKoDpVPMOVnX7pLfqvTTEmj3zbX_mhv526Orylr1Lqmgff47ovvMEtgv2ihu4g</recordid><startdate>19970501</startdate><enddate>19970501</enddate><creator>ANDREASEN, J. 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By integrating the singular terms explicitly only a well-behaved residual dislocation density function has to be determined numerically, together with the intensity of the square-root-singular term. The method is applied to the determination of stress intensity factors for a surface crack growing towards, and through, a circular inclusion, and to a surface crack growing into a zone of phase-transformable material.</abstract><cop>Heidelberg</cop><cop>Berlin</cop><pub>Springer</pub><doi>10.1007/s004660050198</doi><tpages>5</tpages></addata></record> |
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| identifier | ISSN: 0178-7675 |
| ispartof | Computational mechanics, 1997-05, Vol.19 (6), p.496-500 |
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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Crack tips Discontinuity Dislocation density Exact sciences and technology Fracture mechanics (crack, fatigue, damage...) Fracture mechanics, fatigue and cracks Fundamental areas of phenomenology (including applications) Numerical methods Phase transitions Physics Singular integral equations Solid mechanics Stress intensity factors Structural and continuum mechanics Surface cracks |
| title | An accurate method for solving crack problems with discontinuous crack-line tractions |
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