T-stress evaluation for curved crack problems
Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular i...
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Gespeichert in:
| Autor*in: |
Chen, Y. Z. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2008 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2008 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 198(2008), 1-2 vom: 25. Jan., Seite 35-50 |
|---|---|
| Übergeordnetes Werk: |
volume:198 ; year:2008 ; number:1-2 ; day:25 ; month:01 ; pages:35-50 |
| Links: |
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| DOI / URN: |
10.1007/s00707-007-0519-8 |
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OLC2030131075 |
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| 520 | |a Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. | ||
| 650 | 4 | |a Stress Intensity Factor | |
| 650 | 4 | |a Crack Opening Displacement | |
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10.1007/s00707-007-0519-8 doi (DE-627)OLC2030131075 (DE-He213)s00707-007-0519-8-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Y. Z. verfasserin aut T-stress evaluation for curved crack problems 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2008 Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. Stress Intensity Factor Crack Opening Displacement Singular Integral Equation Crack Face Curve Crack Lin, X. Y. aut Enthalten in Acta mechanica Springer-Verlag, 1965 198(2008), 1-2 vom: 25. Jan., Seite 35-50 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:198 year:2008 number:1-2 day:25 month:01 pages:35-50 https://doi.org/10.1007/s00707-007-0519-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 198 2008 1-2 25 01 35-50 |
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10.1007/s00707-007-0519-8 doi (DE-627)OLC2030131075 (DE-He213)s00707-007-0519-8-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Y. Z. verfasserin aut T-stress evaluation for curved crack problems 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2008 Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. Stress Intensity Factor Crack Opening Displacement Singular Integral Equation Crack Face Curve Crack Lin, X. Y. aut Enthalten in Acta mechanica Springer-Verlag, 1965 198(2008), 1-2 vom: 25. Jan., Seite 35-50 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:198 year:2008 number:1-2 day:25 month:01 pages:35-50 https://doi.org/10.1007/s00707-007-0519-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 198 2008 1-2 25 01 35-50 |
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10.1007/s00707-007-0519-8 doi (DE-627)OLC2030131075 (DE-He213)s00707-007-0519-8-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Y. Z. verfasserin aut T-stress evaluation for curved crack problems 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2008 Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. Stress Intensity Factor Crack Opening Displacement Singular Integral Equation Crack Face Curve Crack Lin, X. Y. aut Enthalten in Acta mechanica Springer-Verlag, 1965 198(2008), 1-2 vom: 25. Jan., Seite 35-50 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:198 year:2008 number:1-2 day:25 month:01 pages:35-50 https://doi.org/10.1007/s00707-007-0519-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 198 2008 1-2 25 01 35-50 |
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10.1007/s00707-007-0519-8 doi (DE-627)OLC2030131075 (DE-He213)s00707-007-0519-8-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Y. Z. verfasserin aut T-stress evaluation for curved crack problems 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2008 Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. Stress Intensity Factor Crack Opening Displacement Singular Integral Equation Crack Face Curve Crack Lin, X. Y. aut Enthalten in Acta mechanica Springer-Verlag, 1965 198(2008), 1-2 vom: 25. Jan., Seite 35-50 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:198 year:2008 number:1-2 day:25 month:01 pages:35-50 https://doi.org/10.1007/s00707-007-0519-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 198 2008 1-2 25 01 35-50 |
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10.1007/s00707-007-0519-8 doi (DE-627)OLC2030131075 (DE-He213)s00707-007-0519-8-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Y. Z. verfasserin aut T-stress evaluation for curved crack problems 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2008 Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. Stress Intensity Factor Crack Opening Displacement Singular Integral Equation Crack Face Curve Crack Lin, X. Y. aut Enthalten in Acta mechanica Springer-Verlag, 1965 198(2008), 1-2 vom: 25. Jan., Seite 35-50 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:198 year:2008 number:1-2 day:25 month:01 pages:35-50 https://doi.org/10.1007/s00707-007-0519-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 198 2008 1-2 25 01 35-50 |
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t-stress evaluation for curved crack problems |
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T-stress evaluation for curved crack problems |
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Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. © Springer-Verlag Wien 2008 |
| abstractGer |
Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. © Springer-Verlag Wien 2008 |
| abstract_unstemmed |
Summary A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed. © Springer-Verlag Wien 2008 |
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T-stress evaluation for curved crack problems |
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