Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T15:01:04.788Z Has data issue: false hasContentIssue false
  • English
  • Français

Explicit Solutions For the Magnetoelastic Fields with a Rigid Line Inclusion

Published online by Cambridge University Press:  05 May 2011

Chun-Bo Lin  and
Hsien-Mou Lin
Chun-Bo Lin*
Affiliation:
Department of Automation Engineering, Nan Kai College, Nantou, Taiwan 542, R.O.C.
Hsien-Mou Lin*
Affiliation:
Department of Automation Engineering, Nan Kai College, Nantou, Taiwan 542, R.O.C.
*
*Associate Professor
**Instructor
Get access

Abstract

A general solution to the magnetoelastic problem with a rigid line inclusion is presented. Based upon the complex variable theory, the proposed analysis dealing with sectionally holomorphic functions can be reduced to find the solution of the Hilbert problem. It is indicated that the magnetoelastic stress fields near the inclusion tip possess a square root singularity just like that of the corresponding crack problem. The stress singularity coefficients which are defined in this study to characterize the near tip fields are similar to the stress intensity factors for crack problem. Numerical results of the stress distribution in the vicinity of inclusion tip are also displayed in graphic form to elucidate the effect of various parameters.

Keywords

Magnetoelastic elastic stressStress singularity coefficientsResultant moment.
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 4 , December 2002 , pp. 199 - 205
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

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

REFERENCES

1Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Gronongen (1953).Google Scholar
2Chou, Y. T. and Wang, Z. Y., “Stress Singularity at the Tip of a Rigid Flat Inclusion,” Recent Developments in Applied Mathematics, Ling, F.F., and Tadjbaklish, I.G., eds., Rensselaer Press, pp. 21–30 (1983).Google Scholar
3Wang, Z. Y., Zhang, H. T. and Chou, Y. T., “Characteristics of the Elastic Field of a Rigid Line Inhomogeneity,” Journal of Applied Mechanics ASME, Vol. 52, pp. 818–822 (1985).CrossRefGoogle Scholar
4Yeh, 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
5Moon, F. C., Magneto-solid Mechanics, John Wiley & Sons. Inc., New York (1984).Google Scholar
6Brown, W. F. Jr.Magnetoelastic Interactions, Springer-Verlag, New York (1966).CrossRefGoogle Scholar
7Pao, Y. H. and Yeh, C. S., “A linear Theory for Soft Ferromagnetic Elastic Solids,” Internal Journal of Engineering Science, 11, pp. 415–436 (1973).Google Scholar
8Shindo, Y., “The Linear Magnetoelastic Problem for a Soft Ferromagnetic Elastic Solid with a Finite Crack,” Journal of Applied Mechanics ASME, 44, pp. 47–51 (1977).CrossRefGoogle Scholar
9Shindo, Y., “Magnetoelastic Interaction of a Soft Ferromagnetic Elastic Solid with a Penny-Shaped Crack in a Constant Axial Magnetic Field,” Journal of Applied Mechanics ASME, 45, pp. 291–296 (1978).CrossRefGoogle Scholar
10Shindo, Y., “Singular Stresses in a Soft Ferromagnetic Elastic Solid with Two Coplanar Griffith Cracks,” Internal Journal of Solids and Structures, 16, pp. 537–543 (1980).CrossRefGoogle Scholar
11Lin, C. B. and Yeh, C. S., “The Magnetoelastic Problem of a Crack in a Soft Ferromagnetic Solid,” Internal Journal of Solids and Structure, 39, pp. 1–17 (2002).CrossRefGoogle Scholar
12Lin, C. B. and Lin, H. M., “The magnetoelastic problem of cracks in bonded dissimilar materials,” Internal Journal of Solids and Structures, 39, pp. 2807–2826 (2002).CrossRefGoogle Scholar
13England, A. H., Complex Variable Methods in Elasticity, Wiley Interscience, New York (1971).Google Scholar