Analytical fracture parameters of two unequal collinear interface cracks in an orthotropic bimaterial
•Analytical SIF, Jk and COD of two unequal interface cracks in orthotropic bimaterials.•Analytical analysis of interface cracks in orthotropic or isotropic bimaterials.•Evaluation of fracture parameters of unequal interface cracks with elliptic integrals.•Effect of material mismatch and proximity of...
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| Published in: | Theoretical and applied fracture mechanics Vol. 121; p. 103524 |
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| Format: | Journal Article |
| Language: | English |
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01.10.2022
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| ISSN: | 0167-8442, 1872-7638 |
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| Abstract | •Analytical SIF, Jk and COD of two unequal interface cracks in orthotropic bimaterials.•Analytical analysis of interface cracks in orthotropic or isotropic bimaterials.•Evaluation of fracture parameters of unequal interface cracks with elliptic integrals.•Effect of material mismatch and proximity of interface cracks on fracture parameters.
This paper presents an analytical solution for the fracture parameters of two unequal collinear interface cracks (UCIC) in an infinite orthotropic or isotropic bimaterial subject to in-plane loading. The analytical expressions for the stress intensity factors (SIF), Jk-integrals and crack opening displacements of two UCIC in an infinite orthotropic bimaterial plate are derived using the complex variable method and evaluated in conjunction with the Jacobian elliptic functions and elliptic integrals. The presented theory is verified using the boundary element method. The results show that the fracture parameters are greatly influenced by mismatch of the engineering constants and proximity of the cracks. The inner tip of the longer crack always experiences the maximum SIFs and Jk values. These fracture parameters will increase exponentially when the distance between the cracks inner tips decreases. This study provides a baseline for the verification of future numerical and experimental studies of two UCIC which is not currently available in the SIFs handbooks. |
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| AbstractList | •Analytical SIF, Jk and COD of two unequal interface cracks in orthotropic bimaterials.•Analytical analysis of interface cracks in orthotropic or isotropic bimaterials.•Evaluation of fracture parameters of unequal interface cracks with elliptic integrals.•Effect of material mismatch and proximity of interface cracks on fracture parameters.
This paper presents an analytical solution for the fracture parameters of two unequal collinear interface cracks (UCIC) in an infinite orthotropic or isotropic bimaterial subject to in-plane loading. The analytical expressions for the stress intensity factors (SIF), Jk-integrals and crack opening displacements of two UCIC in an infinite orthotropic bimaterial plate are derived using the complex variable method and evaluated in conjunction with the Jacobian elliptic functions and elliptic integrals. The presented theory is verified using the boundary element method. The results show that the fracture parameters are greatly influenced by mismatch of the engineering constants and proximity of the cracks. The inner tip of the longer crack always experiences the maximum SIFs and Jk values. These fracture parameters will increase exponentially when the distance between the cracks inner tips decreases. This study provides a baseline for the verification of future numerical and experimental studies of two UCIC which is not currently available in the SIFs handbooks. |
| ArticleNumber | 103524 |
| Author | Tafreshi, Azam |
| Author_xml | – sequence: 1 givenname: Azam surname: Tafreshi fullname: Tafreshi, Azam email: azam.tafreshi@manchester.ac.uk organization: Department of Mechanical, Aerospace and Civil Engineering, School of Engineering, University of Manchester, M13 9PL, United Kingdom |
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| CitedBy_id | crossref_primary_10_1016_j_enganabound_2024_105867 crossref_primary_10_1016_j_tafmec_2024_104643 crossref_primary_10_1016_j_ijsolstr_2025_113344 crossref_primary_10_1080_17455030_2023_2200551 |
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| Keywords | Crack opening displacement Jk-integrals Orthotropic bimaterials Stress intensity factor Crack interaction Unequal collinear interface cracks Elliptic integrals |
| Language | English |
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