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The Magnetoelastic Problem for a Soft Ferromatnetic Elastic Half-Plane with a Crack and a Constant Magneic Induction

Published online by Cambridge University Press:  05 May 2011

C.-S. Yeh  and
C.-W. Ren
C.-S. Yeh*
Affiliation:
Department of Civil Engineering and Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-W. Ren*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*NTU Chair Professor
**Ph.D. student
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Abstract

The stress state of a magnetized elastic half-plane with a uniformly pressurized crack parallel to the free surface subjected to a uniform magnetic induction Bo is considered. The linear theory for a soft ferromagnetic elastic solid with muti-domain structure, which has been developed by Pao and Yeh [1] is adopted to investigate this problem. A numerical method is developed to determine the magnetoelastic stress intensity factor. The effect of the magnetic field and the boundary conditions on the magnetoelasitc stress intensity factor are shown graphically and numerically.

Keywords

agnetic inductionCrackMagnetoelasticiyHalf plane.
Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 1 , March 2009 , pp. 95 - 102
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Pao, Y. H. and Yeh, C. S., “A Linear Theory for Soft Ferromagnetic Elastic Solids,” Int. J. Engng. Sci., 11, pp. 415–436 (1973).Google Scholar
2.Moon, F. C., Magneto-Solid Mechanics, John Wily and Sons, Inc., New York (1984).Google Scholar
3.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).CrossRefGoogle Scholar
4.Jr.Brown, W. F., Magnetoelastic Interactions, Springer-Verlag, New York (1966).CrossRefGoogle Scholar
5.Tiersten, H. F., “Coupled Magnetomechanical Equations for Magnetically Saturated Insulators,” J. Math. Phys., 5, pp. 1298–1318 (1964).CrossRefGoogle Scholar
6.Maugin, G. A. and Eringen, A. C., “On the Equations of the Electrodynamics of Deformable Bodies of Finite Extent,” Journal de Mecanique, 16, pp. 101–147 (1977).Google Scholar
7.Shindo, Y., “The Linear Magnetoelastic Problem for a Soft Ferromagnetic Elastic Solid with a Finite Crack,” ASME Journal of Applied Mechanics, 44, pp. 47–51 (1977).CrossRefGoogle Scholar
8.Shindo, Y., “Magnetoelastic Interaction of a Soft Ferromagnetic Elastic Solids with a Penny-Shaped Crack in a Constant Axial Magnetic Field,” Journal of Applied Mechanics, ASME, 45, pp. 291–296 (1978).CrossRefGoogle Scholar
9.Shindo, Y., “Singular Stresses in a Soft Ferromagnetic Elastic Solid with Two Coplanar Griffith Crack,” Int. J. Solids. Struct., 16, pp. 537–543 (1980).CrossRefGoogle Scholar
10.Lin, C. B. and Yeh, C. S., “The Magnetoelastic Problem of a Crack in a Soft Ferromagnetic Solid,” Int. J. Solids Struct., 39, pp. 1–17 (2002).CrossRefGoogle Scholar
11.Yeh, C. S., “Magnetic Fields Generated by a Tension Fault,” Bull. of the College of Engng., National Taiwan University, pp. 47–56 (1987).Google Scholar
12.Yeh, C. S., “Magnetic Fields Generated by a Mechanical Singularity in a Magnetized Elastic Half-Plane,” Journal of Applied Mechanics, ASME, 56, pp. 89–95 (1989).CrossRefGoogle Scholar
13.Pak, Y. E. and Herrmann, G., “Crack Extension Force in a Dielectric Medium,” Int. J. Engng. Sci., 24, pp. 1375–1388 (1986).CrossRefGoogle Scholar
14.Erdogan, F. and Gupta, G., “The Stress Analysis of Multilayered Composites with a Flaw,” Int. J. Solids Struct., 7, pp. 39–61 (1971).CrossRefGoogle Scholar
15.Erdogan, F., Gupta, G. and Cook, T. S., Numerical Solution of Singular Integral Equations, Sih, G. C., Ed., Noordhoff Int. Publ., Leyden, The Netherlands, pp. 369–425 (1973).Google Scholar
16.Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, Dover, New York (1965).Google Scholar