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TECHNICAL PAPERS

Dynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field

[+] Author and Article Information
Y. Shindo

Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 02, Sendai 980-8579, Japan

I. Ohnishi

Toyota Motor Corporation, 1 Toyota-Cho, Toyota 471-8572, Japan

S. Toyama

Toyo Engineering Corporation, 2-8-1 Akanehama, Narashino 275-0024, Japan

J. Appl. Mech 67(3), 503-510 (Nov 22, 1998) (8 pages) doi:10.1115/1.1311963 History: Received June 10, 1997; Revised November 22, 1998
Copyright © 2000 by ASME
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References

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Ambartsumian,  S. A., Bagdasarian,  G. E., and Belubekian,  M. V., 1971, “On the Three-Dimensional Problem of Magnetoelastic Plate Vibrations,” J. Appl. Math. Mech., 35, pp. 184–195.
Ambartsumian,  S. A., Bagdasarian,  G. E., and Belubekian,  M. V., 1975, “On the Equations of Magnetoelastic Thin Plate,” J. Appl. Math. Mech., 39, pp. 922–926.
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Murakami, Y. ed., 1993, Stress Intensity Factors Handbook, Vols. 3, Pergamon Press, Oxford, UK.
Shindo, Y., Ohnishi, I., and Suzuki, S., 1993, “Dynamic Singular Moments in a Perfectly Conducting Plate With a Through Crack Under a Magnetic Field,” Mechanics of Electromagnetic Materials and Structures, J. S. Lee, G. A. Maugin, and Y. Shindo, eds., ASME, New York, pp. 87–97.
Shindo,  Y., Ohnishi,  I., and Tohyama,  S., 1997, “Flexural Wave Scattering at a Through Crack in a Conducting Plate Under a Uniform Magnetic Field,” ASME J. Appl. Mech., 64, pp. 828–834.
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Mindlin,  R. D., 1951, “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” ASME J. Appl. Mech., 18, pp. 31–38.
Kaliski,  S., 1962, “Magnetoelastic Vibration of Perfectry Conducting Plates and Bars Assuming the Principle of Plane Sections,” Proc. Vib. Probl., 3, pp. 225–234.
Sih, G. C., and Chen, E. P., 1977, “Dynamic Analysis of Cracked Plates in Bending and Extension,” Plates and Shells With Cracks (Mechanics of Fracture 3), G. C. Sih, ed., Noordhoff, Leyden, pp. 231–272.

Figures

Grahic Jump Location
A through crack in a perfectly conducting Mindlin plate and flexural waves
Grahic Jump Location
Dynamic bending moment intensity factor |KI/M0(πa)1/2| versus ω/ω0 (a/h=5)
Grahic Jump Location
Dynamic bending moment intensity factor |KI/M0(πa)1/2| versus ω/ω0 (a/h=10)
Grahic Jump Location
Dynamic bending moment intensity factor |KI/M0(πa)1/2| versus hc (a/h=5)
Grahic Jump Location
Dynamic bending moment intensity factor |KI/M0(πa)1/2| versus hc (a/h=10)
Grahic Jump Location
Phase velocity ω/kc2 versus wave number kh
Grahic Jump Location
Phase velocity ω/kc2 versus wave number kh (perfect conductivity)

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