A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials
The current work models a weak (soft) interface between two elastic materials as containing a periodic array of micro-crazes. The boundary conditions on the interfacial micro-crazes are formulated in terms of a system of hypersingular integro-differential equations with unknown functions given by th...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/155099 |
| _version_ | 1824454359804542976 |
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| author | Wang, Xue Ang, Whye Teong Fan, Hui |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Wang, Xue Ang, Whye Teong Fan, Hui |
| author_sort | Wang, Xue |
| collection | NTU |
| description | The current work models a weak (soft) interface between two elastic materials as containing a periodic array of micro-crazes. The boundary conditions on the interfacial micro-crazes are formulated in terms of a system of hypersingular integro-differential equations with unknown functions given by the displacement jumps across opposite faces of the micro-crazes. Once the displacement jumps are obtained by approximately solving the integro-differential equations, the effective stiffness of the micro-crazed interface can be readily computed. The effective stiffness is an important quantity needed for expressing the interfacial conditions in the spring-like macro-model of soft interfaces. Specific case studies are conducted to gain physical insights into how the effective stiffness of the interface may be influenced by the details of the interfacial micro-crazes. |
| first_indexed | 2025-02-19T03:21:04Z |
| format | Journal Article |
| id | ntu-10356/155099 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:21:04Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1550992022-02-11T07:33:05Z A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials Wang, Xue Ang, Whye Teong Fan, Hui School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Micromechanical Modeling Micro-Crazed Interface The current work models a weak (soft) interface between two elastic materials as containing a periodic array of micro-crazes. The boundary conditions on the interfacial micro-crazes are formulated in terms of a system of hypersingular integro-differential equations with unknown functions given by the displacement jumps across opposite faces of the micro-crazes. Once the displacement jumps are obtained by approximately solving the integro-differential equations, the effective stiffness of the micro-crazed interface can be readily computed. The effective stiffness is an important quantity needed for expressing the interfacial conditions in the spring-like macro-model of soft interfaces. Specific case studies are conducted to gain physical insights into how the effective stiffness of the interface may be influenced by the details of the interfacial micro-crazes. 2022-02-11T07:33:05Z 2022-02-11T07:33:05Z 2020 Journal Article Wang, X., Ang, W. T. & Fan, H. (2020). A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials. Applied Mathematics and Mechanics, 41(2), 193-206. https://dx.doi.org/10.1007/s10483-020-2563-8 0253-4827 https://hdl.handle.net/10356/155099 10.1007/s10483-020-2563-8 2-s2.0-85097592639 2 41 193 206 en Applied Mathematics and Mechanics © 2020 Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Micromechanical Modeling Micro-Crazed Interface Wang, Xue Ang, Whye Teong Fan, Hui A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title | A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title_full | A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title_fullStr | A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title_full_unstemmed | A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title_short | A micromechanical model based on hypersingular integro-differential equations for analyzing micro-crazed interfaces between dissimilar elastic materials |
| title_sort | micromechanical model based on hypersingular integro differential equations for analyzing micro crazed interfaces between dissimilar elastic materials |
| topic | Engineering::Mechanical engineering Micromechanical Modeling Micro-Crazed Interface |
| url | https://hdl.handle.net/10356/155099 |
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