Interface cracks with surface elasticity in anisotropic bimaterials
We consider the effect of surface elasticity on an interface crack between two dissimilar anisotropic elastic half-planes under generalized plane strain deformation. The surface mechanics is incorporated by using a modified anisotropic version of the continuum-based surface/interface model of Gurtin...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2016
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| Online Access: | https://hdl.handle.net/10356/81809 http://hdl.handle.net/10220/40956 |
| _version_ | 1811681182444683264 |
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| author | Wang, Xu Zhou, Kun Wu, Mao See |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Wang, Xu Zhou, Kun Wu, Mao See |
| author_sort | Wang, Xu |
| collection | NTU |
| description | We consider the effect of surface elasticity on an interface crack between two dissimilar anisotropic elastic half-planes under generalized plane strain deformation. The surface mechanics is incorporated by using a modified anisotropic version of the continuum-based surface/interface model of Gurtin and Murdoch (1975). A system of first-order Cauchy singular integro-differential equations is derived by considering a distribution of line dislocations and line forces on the interface crack. The correctness of the obtained singular integro-differential equations is carefully verified by comparison with the existing results of Kim et al. (2010, 2011a,b,c), derived via the complex variable method. Our results show that generally the stresses exhibit only the weak logarithmic singularity at the tips of an interfacial crack when surface elasticity in anisotropic bimaterials is considered. Further, the crack-tip stresses in a homogeneous anisotropic solid exhibit both the stronger inverse square root and the weaker logarithmic singularities if the surface tension is ignored. The solution method for solving a system of singular integro-differential equations is also proposed. |
| first_indexed | 2024-10-01T03:36:53Z |
| format | Journal Article |
| id | ntu-10356/81809 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:36:53Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ntu-10356/818092020-03-07T13:19:19Z Interface cracks with surface elasticity in anisotropic bimaterials Wang, Xu Zhou, Kun Wu, Mao See School of Mechanical and Aerospace Engineering Surface elasticity Anisotropic bimaterial We consider the effect of surface elasticity on an interface crack between two dissimilar anisotropic elastic half-planes under generalized plane strain deformation. The surface mechanics is incorporated by using a modified anisotropic version of the continuum-based surface/interface model of Gurtin and Murdoch (1975). A system of first-order Cauchy singular integro-differential equations is derived by considering a distribution of line dislocations and line forces on the interface crack. The correctness of the obtained singular integro-differential equations is carefully verified by comparison with the existing results of Kim et al. (2010, 2011a,b,c), derived via the complex variable method. Our results show that generally the stresses exhibit only the weak logarithmic singularity at the tips of an interfacial crack when surface elasticity in anisotropic bimaterials is considered. Further, the crack-tip stresses in a homogeneous anisotropic solid exhibit both the stronger inverse square root and the weaker logarithmic singularities if the surface tension is ignored. The solution method for solving a system of singular integro-differential equations is also proposed. ASTAR (Agency for Sci., Tech. and Research, S’pore) 2016-07-18T06:29:16Z 2019-12-06T14:40:50Z 2016-07-18T06:29:16Z 2019-12-06T14:40:50Z 2015 Journal Article Wang, X., Zhou, K., & Wu, M. S. (2015). Interface cracks with surface elasticity in anisotropic bimaterials. International Journal of Solids and Structures, 59, 110-120. 0020-7683 https://hdl.handle.net/10356/81809 http://hdl.handle.net/10220/40956 10.1016/j.ijsolstr.2015.01.023 en International Journal of Solids and Structures © 2015 Elsevier. |
| spellingShingle | Surface elasticity Anisotropic bimaterial Wang, Xu Zhou, Kun Wu, Mao See Interface cracks with surface elasticity in anisotropic bimaterials |
| title | Interface cracks with surface elasticity in anisotropic bimaterials |
| title_full | Interface cracks with surface elasticity in anisotropic bimaterials |
| title_fullStr | Interface cracks with surface elasticity in anisotropic bimaterials |
| title_full_unstemmed | Interface cracks with surface elasticity in anisotropic bimaterials |
| title_short | Interface cracks with surface elasticity in anisotropic bimaterials |
| title_sort | interface cracks with surface elasticity in anisotropic bimaterials |
| topic | Surface elasticity Anisotropic bimaterial |
| url | https://hdl.handle.net/10356/81809 http://hdl.handle.net/10220/40956 |
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