## 留言板

 引用本文: 周又和, 王省哲, 郑晓静. 矩形铁磁板的磁弹性弯曲与稳定性[J]. 应用数学和力学, 1998, 19(7): 625-630.
Zhou Youhe, Wang Xingzhe, Zheng Xiaojing. Magnetoelastic Bending and Stability of Soft Ferromagnetic Rectangular Plates[J]. Applied Mathematics and Mechanics, 1998, 19(7): 625-630.
 Citation: Zhou Youhe, Wang Xingzhe, Zheng Xiaojing. Magnetoelastic Bending and Stability of Soft Ferromagnetic Rectangular Plates[J]. Applied Mathematics and Mechanics, 1998, 19(7): 625-630.

## 矩形铁磁板的磁弹性弯曲与稳定性

• 中图分类号: O44;O343

## Magnetoelastic Bending and Stability of Soft Ferromagnetic Rectangular Plates

• 摘要: 本文对于在外加磁场中的矩形软铁磁弹性板的磁弹性弯曲现象进行了定量模拟;建立了能反映磁弹性相互耦合作用的数值计算程序;揭示了铁磁板弯曲变形与磁(场)力的非线性特征关系,并据此讨论了磁弹性失稳临界磁场随倾斜角变化的规律.
•  [1] F.C.Moon and Y.H.Pao,Magnetoelastic buckling of a thin plate,ASME J.Appl.Mech.,35,1(1968),53-58. [2] T.Takagi,J.Taut,Y.Matsubara and I.Mogi,Electromagneto-mechanical couplingeffects for non-ferromagnetic and ferromagnetic structures,Proc.2nd Int.Whrkshop on Electromagnelic Forces and Related Effects on Blankets and Other Structures Surroundingthe Fission Plasma Torus,Ed.Miya,Tokai,Japan(1993),81-90. [3] Zhou Youhe and X.J.Zheng,A theoretical model of magnetoelastic buckling for softferromagnetic thin plates,Acta Mechanica Sinica,12,3(1996),213-224. [4] Y.H.Pao and C.S.Yeh,A linear theory for soft ferromagnetic elastic solids,Int.J.Eng.Sci.,11,3(1973),415-436. [5] A.C.Eringen,Mechanics of Continua,Wiley,New York(1980). [6] A.A.F.Van de Ven,Magnetoelastic buckling of thin plates in a uniform transversemagnetic field,J.Elasticity,8,2(1978),279-312. [7] Y.H.Zhou and K.Miya,A theoretical prediction of natural frequency of aferromagnetic beam-plate with low susceptibility in in-plane magnetic field,ASME J.Appl.Mech.,65,1(1998). [8] Y.H.Zhou and X.J.Zheng,A general expression of magnetic force for softferromagnetic plates in complex magnetic fields,Int.J.Eng.Sci.,35,15(1998),1405-1417. [9] F.C.Moon,The mechanics of ferroelastic plates in a uniform magnetic field,ASME.J.Appl.Mech.,37,1(1970),153-158. [10] 张允真、曹富新,《弹性力学及其有限元方法》,中国铁道出版社(1983). [11] Zhou Youhe,Zheng Xiaojing and Kenzo Miya,A generalized variational principle ofmagnetoelastic interaction for ferromagnetic thin plates and its applications,Presented at 19th ICTAM,Kyoto,Japan,August,25-31(1996).

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##### 出版历程
• 收稿日期:  1997-01-23
• 刊出日期:  1998-07-15

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