Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks
The effective properties of a microscopically damaged interface between two dissimilar magnetoelectroelastic materials are investigated using a micro‐statistical model. The interface is modeled as damaged by a periodic array of micro‐cracks. The micro‐cracks over a period interval of the interface a...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10356/90273 http://hdl.handle.net/10220/48498 |
| _version_ | 1811683532270993408 |
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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 effective properties of a microscopically damaged interface between two dissimilar magnetoelectroelastic materials are investigated using a micro‐statistical model. The interface is modeled as damaged by a periodic array of micro‐cracks. The micro‐cracks over a period interval of the interface are randomly generated and are either all (i) magnetically and electrically impermeable, or (ii) magnetically permeable and electrically impermeable, or (iii) electrically permeable and magnetically impermeable, or (iv) magnetically and electrically permeable. The conditions on the micro‐cracks are formulated in terms of hypersingular integro‐differential equations with the jumps in the elastic displacements, the electric potential and the magnetic potential across opposite micro‐crack faces being unknown functions to be determined. Once the unknown functions are determined, the effective properties of the microscopically damaged interface can be readily computed. The effects of the crack density and the material constants on the effective properties are investigated in detail. |
| first_indexed | 2024-10-01T04:14:14Z |
| format | Journal Article |
| id | ntu-10356/90273 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:14:14Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/902732023-03-04T17:17:38Z Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks Wang, Xue Ang, Whye Teong Fan, Hui School of Mechanical and Aerospace Engineering Micro-statistical Model Imperfect Interface DRNTU::Engineering::Mechanical engineering The effective properties of a microscopically damaged interface between two dissimilar magnetoelectroelastic materials are investigated using a micro‐statistical model. The interface is modeled as damaged by a periodic array of micro‐cracks. The micro‐cracks over a period interval of the interface are randomly generated and are either all (i) magnetically and electrically impermeable, or (ii) magnetically permeable and electrically impermeable, or (iii) electrically permeable and magnetically impermeable, or (iv) magnetically and electrically permeable. The conditions on the micro‐cracks are formulated in terms of hypersingular integro‐differential equations with the jumps in the elastic displacements, the electric potential and the magnetic potential across opposite micro‐crack faces being unknown functions to be determined. Once the unknown functions are determined, the effective properties of the microscopically damaged interface can be readily computed. The effects of the crack density and the material constants on the effective properties are investigated in detail. MOE (Min. of Education, S’pore) Accepted version 2019-05-30T08:47:34Z 2019-12-06T17:44:32Z 2019-05-30T08:47:34Z 2019-12-06T17:44:32Z 2018 Journal Article Wang, X., Ang, W. T., & Fan, H. (2018). Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 98(5), 727-748. doi:10.1002/zamm.201700219 0044-2267 https://hdl.handle.net/10356/90273 http://hdl.handle.net/10220/48498 10.1002/zamm.201700219 en ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik © 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. This is the peer reviewed version of the following article: Wang, X., Ang, W. T., & Fan, H. (2018). Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 98(5), 727-748. , which has been published in final form at http://dx.doi.org/10.1002/zamm.201700219. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. 42 p. application/pdf |
| spellingShingle | Micro-statistical Model Imperfect Interface DRNTU::Engineering::Mechanical engineering Wang, Xue Ang, Whye Teong Fan, Hui Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title | Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title_full | Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title_fullStr | Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title_full_unstemmed | Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title_short | Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks |
| title_sort | effective properties of magnetoelectroelastic interfaces weakened by micro cracks |
| topic | Micro-statistical Model Imperfect Interface DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/90273 http://hdl.handle.net/10220/48498 |
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