Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
권호 표지

Buckling of Ferromagnetic Plates in Thermal and Magnetic Fields

자기장과 온도장으로 재하된 강자성 판의 좌굴

  • 이종세 (한양대학교 토목환경공학과) ;
  • 왕성철 (한양대학교 토목환경공학과)
  • Published : 2002.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

Based on a generalized variational principle for magneto-thermo-elasticity, a theoretical model is proposed to describe the coupled magneto-thermo-elastic interaction in soft ferromagnetic plates. Using the linearized theory of magneto-elasticity and perturbation technique, we analyze the magneto-elastic and magneto-thermo-elastic instability of simply supported ferromagnetic plates subjected to thermal and magnetic fields. A nonlinear finite element procedure is developed next to simulate the magneto-thermo-elastic behavior of a finite-size ferromagnetic plates. The effects of thermal and magnetic fields on the magneto-thermo-elastic bending and buckling is investigated in some detail.

강자성 판의 자기-열-탄성 상호작용을 고찰하기 위하여 자기-열-탄성에 관한 일반화된 변분원리에 기초한 이론적인 모델이 제안되었다. 자탄성 선형화이론과 섭동법을 사용하여, 온도장과 자기장으로 재하된 단순지지 강자성 평판의자-탄성 좌굴과 자기-열-탄성 좌굴거동을 해석하였다. 또한 해석적인 고찰이 어려운 보다 복잡한 강자성 판의 자기-열-탄성 거동을 모사하기 위하여 비선형 유한요소 모형을 개발하였다. 이 유한요소모형을 이용하여 유한한 강자성 판의 자기-열-탄성 ？과 좌굴거동 그리고, 이에대한 온도장과 자기장의 영향에 대하여 고찰하였다.

Keywords

References

  1. Moon, F. C., Magneto-solid mechanics, John Wiley and Sons, New York, 1984
  2. Lee, J. S., Maugin, G. A., Shindo, Y., Eds., Mechanics of electromagnetic materials and structures, Am. Soc. of Mech. Engrs, New York, 1993
  3. Paria, G., 'Magneto-elasticity and magneto- thermo-elasticity', Advances in Applied Mechanics 10, Academic Press, New York, 1967, pp.73-112
  4. Parkus, H., Magneto-thermo-elasticity, Lecture Note, CISM, Udine. Spring, Vienna, 1972
  5. Misra, J. C., Samanta, S. C., Chakrabarti, A. K., 'Magnetic-mechanical interaction in an aeolotropic solid cylinder subjected to a ramp-type heating', Int. J. Engng Sci, Vol. 29, No. 9, 1991, pp.1065-1075 https://doi.org/10.1016/0020-7225(91)90112-G
  6. Banerjee, S., Roychoudhuri, S. K., 'Magneto-thermo-elastic interactions in an infinite isotropic elastic cylinder subjected to a periodic loading', Int. J. Engng Sci, Vol. 35, No. 4, 1997, pp.437-444 https://doi.org/10.1016/S0020-7225(96)00070-5
  7. Hutter, K., Pao, Y. H., 'A dynamical theory for magnetizable elastic solids with thermal and electrical conduction', J. Elasticity, Vol. 4, No. 2, 1974, pp.89-114 https://doi.org/10.1007/BF00045660
  8. Abd-alla, A. N., Maugin, G. A., 'Nonlinear equations for thermoelastic magnetizble conductors', Int. J. Engng. SCI, Vol. 28, No. 7, 1990, pp.589-603 https://doi.org/10.1016/0020-7225(90)90088-Z
  9. Massalas, C. V., 'A note on magneto- thermo-elastic interactions', Int. J. Engng. Sci, Vol. 29, No. 10, 1991, pp.1217-1229 https://doi.org/10.1016/0020-7225(91)90026-Y
  10. Zhou, Y. H., Zheng, X. J., 'A general expression of magnetic force for soft ferromagnetic plates in complex magnetic fields', Int. J. Engng Sci, Vol. 35, No. 15, 1997, pp.1405-1417 https://doi.org/10.1016/S0020-7225(97)00051-7
  11. Moon, F. C., Pao, Y. H., 'Magnetoelastic buckling of a thin plate', ASME J. Appl. Mech, Vol. 35, NO. 1, 1968, pp.53-58 https://doi.org/10.1115/1.3601173
  12. Lee, J. S., 'Dynamic stability of conduction beam-plates in transverse fields', J. Eng. Mech, Vol. 122, No. 2, 1996, pp.89-94 https://doi.org/10.1061/(ASCE)0733-9399(1996)122:2(89)
  13. Zheng, X. J., Zhou, Y. H., Wang, X., Lee, J. S., 'Bending and buckling of ferroelastic plates', J. Eng. Mech, Vol. 125, 1999, pp. 180-185 https://doi.org/10.1061/(ASCE)0733-9399(1999)125:2(180)
  14. Pao, Y. H., Yeh, C. S., 'A linear theory for soft ferromagnetic elastic solids', Int. J. Engng Sci, Vol. 11, No. 4, 1973, pp.415-436 https://doi.org/10.1016/0020-7225(73)90059-1
  15. Dalamangas, A., 'Magnetoelastic stability and vibration of ferromagnetic thin plates in a transverse magnetic field', Mech. Res. Com, Vol. 10, No. 5, 1983, pp.279-286 https://doi.org/10.1016/0093-6413(83)90007-1