Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/90273
Title: Effective properties of magnetoelectroelastic interfaces weakened by micro-cracks
Authors: Wang, Xue
Ang, Whye Teong
Fan, Hui
Keywords: Micro-statistical Model
Imperfect Interface
DRNTU::Engineering::Mechanical engineering
Issue Date: 2018
Source: 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
Series/Report no.: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Abstract: 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.
URI: https://hdl.handle.net/10356/90273
http://hdl.handle.net/10220/48498
ISSN: 0044-2267
DOI: http://dx.doi.org/10.1002/zamm.201700219
Rights: © 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.
metadata.item.grantfulltext: open
metadata.item.fulltext: With Fulltext
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