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Screw Dislocation Interacting with a Wedge Crack Penetrating a Fibrous Three-phase Magnetoelectroelastic Composite

Published online by Cambridge University Press:  09 November 2015

M.-H. Shen  and
S.-Y. Hung
M.-H. Shen*
Affiliation:
Department of Automation Engineering Nan Kai University of Technology Nantou, Taiwan
S.-Y. Hung
Affiliation:
Department of Automation Engineering Nan Kai University of Technology Nantou, Taiwan
*
*Corresponding author (mhshen@nkut.edu.tw)
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Abstract

On the basis of the linear magnetoelectroelasticity, the interaction problem between a generalized screw dislocation and a fibrous three-phase magnetoelectroelastic composite penetrated by a semi-infinite wedge crack is investigated in this paper. The fibrous magnetoelectroelastic composite is composed of three dissimilar materials bonded along two concentric circular interfaces. The magnetoelectroelastic materials are assumed to be transversely isotropic and have the same poling direction. The analytical derivations are based on the complex variable, conformal mapping, analytical continuation and image singularity methods. Numerical calculations are given graphically for studying the effects of material combinations, geometric models, wedge angles and the load type on the generalized stress fields, the generalized stress intensity factors, and the forces on the dislocation.

Keywords

MagnetoelectroelasticScrew dislocationWedge crackFibrous composite
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 2 , April 2016 , pp. 153 - 162
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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References

1.Suchtelen, J., “Product Properties: A New Application of Composite Mateials,” Philips Research Reports, 27, pp. 28–37 (1972).Google Scholar
2.Run, A. M. J. G., Terrell, D. R. and Scholing, J. H., “An in Situ Grown Eutectic Magnetoelectric Composite Material,” Journal of Materials Science, 9, pp.1710–1714 (1974).CrossRefGoogle Scholar
3.Nan, C. W., Bichurin, M. I., Dong, S., Viehland, D. and Srinivasan, G., “Multiferroic Magnetoelectric Composites: Historical Perspective, Status, and Future Directions,” Journal of Applied Physics, 103, p.031101 (35 pages) (2008).Google Scholar
4.Dinzart, F. and Sabar, H., “Magneto-Electro-Elastic Coated Inclusion Problem and its Application to Magnetic-Piezoelectric Composite Materials,” International Journal of Solids and Structures, 48, pp. 2393–2401 (2011).Google Scholar
5.Kuo, H. Y. and Peng, C. Y., “Magnetoelectricity in Coated Fibrous Composites of Piezoelectric and Piezomagnetic Phases,” International Journal of Engineering Science, 62, pp. 70–83 (2013).Google Scholar
6.Pakam, N. and Arockiarajan, A., “An Analytical Model for Predicting the Effective Properties of Magneto-Electro-Elastic (MEE) Composites,” Computational Materials Science, 65, pp. 19–28 (2012).Google Scholar
7.Li, J. Y., “Magnetoelectric Green's Functions and Their Application to the Inclusion and Inhomogeneity Problems,” International Journal of Solids and Structures, 39, pp. 4201–4213 (2002).Google Scholar
8.Fang, Q. H., Liu, Y. W. and Jiang, C. P., “On the Interaction Between a Generalized Screw Dislocation and Circular-Arc Interfacial Rigid Lines in Magnetoelectroelastic Solids,” International Journal of Engineering Science, 43, pp. 1011–1031 (2005).Google Scholar
9.Hao, R. J. and Liu, J. X., “Interaction of a Screw Dislocation with a Semi-Infinite Interfacial Crack in a Magneto-Electro-Elastic Bi-material,” Mechanics Research Communications, 33, pp. 415–424 (2006).CrossRefGoogle Scholar
10.Zheng, J. L., Fang, Q. H. and Liu, Y. W., “A Generalized Screw Dislocation Interacting with Interfacial Cracks Along a Circular Inhomogeneity in Magnetoelectroelastic Solids,” Theoretical and Applied Fracture Mechanics, 47, pp. 205–218 (2007).Google Scholar
11.Shen, M. H., “A Magnetoelectric Screw Dislocation Interacting with a Circular Layered Inclusion,” European Journal of Mechanics A—Solids, 27, pp. 429–442 (2008).Google Scholar
12.Xu, X. L. and Rajapakse, R. K. N. D., “On Singularities in Composite Piezoelectric Wedges and Junctions,” International Journal of Solids and Structures, 37, pp. 3253–3275 (2000).Google Scholar
13.Liu, T. J. C. and Chue, C. H., “On the Singularities in a Bimaterial Magneto-Electro-Elastic Composite Wedge Under Antiplane Deformation,” Composite Structures, 72, pp. 254–265 (2006).Google Scholar
14.Wang, X., Pan, E. and Chung, P. W., “On a Semi-Infinite Crack Penetrating a Piezoelectric Circular Inhomogeneity with a Viscous Interface,” International Journal of Solids and Structures, 46, pp. 203–216 (2009).Google Scholar
15.Xiao, Z. M., Chen, B. J. and Luo, J., “A Generalized Screw Dislocation Near a Wedge Magnetoelectroelastic Bi-material Interface,” Acta Mechanica, 214, pp. 261–273 (2010).Google Scholar
16.Song, H. P. and Gao, C. K., “The Interaction Between a Screw Dislocation and a Rigid Wedge In homogeneity with an Elastic Circular Inhomogeneity at the Tip,” Meccanica, 47, pp. 1097–1102 (2012).Google Scholar
17.Shen, M. H., Chen, S. N. and Lin, C. P., “The Inter action Between a Screw Dislocation and a Piezoe lectric Fiber Composite with a Wedge Crack,” Archive of Applied Mechanics, 82, pp. 215–227 (2012).Google Scholar
18.Chen, B. J., Xiao, Z. M. and Liew, K. M., “Electro-Elastic Stress Analysis for a Wedge-Shaped Crack Interactingwith a Screw Dislocation in Piezoelectric Solid,” International Journal of Engineering Science, 40, pp. 621–635(2002).Google Scholar