Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-24T03:00:07.622Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetoelectroelastic Interaction between a Generalized Screw Dislocation and Multiple Circular Inclusions

Published online by Cambridge University Press:  05 May 2011

M. H. Shen ,
F.M. Chen ,
S. Y. Hung  and
S.N. Chen
M. H. Shen*
Affiliation:
Department of Automation Engineering, Nan Kai University of Technology, Nantou, Taiwan 54243, R.O.C.
F.M. Chen*
Affiliation:
Department of Automation Engineering, Nan Kai University of Technology, Nantou, Taiwan 54243, R.O.C.
S. Y. Hung*
Affiliation:
Department of Automation Engineering, Nan Kai University of Technology, Nantou, Taiwan 54243, R.O.C.
S.N. Chen*
Affiliation:
Department of Automation Engineering, Nan Kai University of Technology, Nantou, Taiwan 54243, R.O.C.
*
* Professor, corresponding author
** Associate Professor
** Associate Professor
** Associate Professor
Get access

Abstract

In this paper, the interaction of a generalized screw dislocation with multiple circular inclusions perfectly bonded to an unbounded matrix under remote magnetoelectromechanical loadings is dealt with. The analytical solutions of electric field, magnetic field and displacement field either in the inclusions or the matrix are obtained by use of the complex variable method. The image force acting on the magnetoelectric screw dislocation is calculated by using the generalized Peach-Koehler formula. Finally, the influence of material combinations on the image force is examined for several practical examples. The obtained solutions can be used as Green's functions for the analysis of the corresponding magnetoelectric crack problem.

Keywords

Multiple circular inclusionsScrew dislocationMagnetoelectromechanical loadings
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 309 - 316
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Chen, X. H., Ma, C. C. and Ing, Y. S., “Dynamic Crack Propagation in Piezoelectric Materials Subjected to Dynamic Body Forces for Vacuum Boundary,” Journal of Mechanics, 23, pp. 229–238 (2007)Google Scholar
2.Yang, X. H., Zeng, G. W. and Chen, C. Y., “Determination of Mechanical and Electrical Damages of Piezoelectric Material with Periodically Distributed Microvoids,” Journal of Mechanics, 23, pp. 239–244 (2007)Google Scholar
3.Nan, C. W., “Magnetoelectric Effect in Composites of Piezoelectric and Piezomagnetic Phases,” Physical Review B, 50, pp. 6082–6088 (1994).Google Scholar
4.Huang, J. H. and Kuo, W. S., “The Analysis of Piezoelectric/ Piezomagnetic Composite Materials Containing Ellipsoidal Inclusions,” Journal of Applied Physics, 81, pp. 1378–1386 (1997).Google Scholar
5.Li, J. Y., “Magnetoelectroelastic Multi-Inclusion and Inhomogeneity Problems and Their Applications in Composite Materials,” International Journal of Engineering Science, 38, pp. 1993–2011 (2000).Google Scholar
6.Zhang, J. Z., Wang, X. and Zhong, Z., “Double Circular Cylindrical Inclusions in a Magnetoelectroelastic Composite Material,” Chinese Quarterly of Mechanics I, 23, pp. 373–379 (2002).Google Scholar
7.Wu, T. L. and Huang, J. H., “Closed-Form Solutions for the Magnetoelectric Coupling Coefficients in Fibrous Composites with Piezoelectric and Piezomagnetic Phases,” International Journal of Solids and Structures, 37, pp. 2981–3009 (2000).Google Scholar
8.an, E.,“Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates,” Journal of Applied Mechanics, 68, pp. 608–618 (2001).Google Scholar
9.Chen, Z. R, Yu, S. W., Meng, L. and Lin, Y., “Effective Properties of Layered Magneto-Electro-Elastic Composites,” Composite Structures, 57, pp. 177–182 (2002).Google Scholar
10.Gao, C. F., Kessler, H. and Balke, H., “Crack Problems in Magnetoelectroelastic Solids Part I: Exact Solution of a Crack,” International Journal of Engineering Science, 41, pp. 969–981(2003).Google Scholar
11.Gao, C. F., Kessler, H. and Balke, H., “Crack Problems in Magnetoelectroelastic Solids. Part II: General Solution of Collinear Cracks,” International Journal of Engineering Science, 41, pp. 983–994 (2003).Google Scholar
12.Gao, C. F., Tong, P. and Zhang, T. Y., “Interfacial Crack Problems in Magneto-Electroelastic Solids,” International Journal of Engineering Science, 41, pp. 2105–2121 (2003).Google Scholar
13.Li, R. and Kardomateas, G. A., “The Mode III Interface Crack in Piezo-Electro-Magneto-Elastic Dissimilar Bimaterials,” Journal of Applied Mechanics, 73, pp. 220–227 (2006).Google Scholar
14.Soh, A. K. and Liu, J. X., “Interfacial Debonding of a Circular Inhomogeneityin Piezoelectric-PiezomagneticComposites Under Anti-Plane Mechanical and In-Plane Electromagnetic Loading,” Composites Science and Technology; 65, pp. 1347–1353 (2005).Google Scholar
15.Chung, M. Y. and Ting, T. C, “The Green Function for a Piezoelectric Piezomagnetic Magnetoelectric Anisotropic Elastic Medium with a Elliptic Hole or Rigid Inclusion,” Philosophical Magazine Letters, 72, pp. 405–410 (1995).Google Scholar
16.Liu, J. X., Liu, X. L. and Zhao, Y. B., “Green's Functions for Anisotropic Magnetoelectroelastic Solids with an Elliptical Cavity or a Crack,” International Journal of Engineering Science, 39, pp. 1405–1418 (2001).Google Scholar
17.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
18.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
19.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
20.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).Google Scholar
21.Chao, C. K. and Chang, K. J., “Interacting Circular Inclusions in Antiplane Piezoelectricity,” International Journal of Solids and Structures, 36, pp. 3349–3373 (1999).CrossRefGoogle Scholar
22.Pak, Y. E., “Force on a Piezoelectric Screw Dislocation,” Journal of Applied Mechanics, 57, pp. 863–869 (1990).Google Scholar