The refined theory for a magnetoelastic body - II. Plane problems

doi:10.3233/JAE-2010-1064

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	The refined theory for a magnetoelastic body - II. Plane problems
	Gao, Yang ; Xu, Bai-Xiang
刊名	international journal of applied electromagnetics and mechanics
	2010
关键词	Plane problems plates the refined theory magnetoelastic governing equations PAPKOVICH-FADLE EIGENFUNCTIONS FERROMAGNETIC THIN PLATES SEMI-INFINITE STRIP AD HOC ASSUMPTIONS 3-DIMENSIONAL ELASTICITY COMPLETENESS
DOI	10.3233/JAE-2010-1064
英文摘要	Without employing ad hoc stress or deformation assumptions, various two-dimensional equations and solutions for plane problems have been deduced systematically and directly from thick plate theory by using the general solution of magnetoelastic theory for the soft ferromagnetic elastic solids and the Lur'e method. These equations and solutions are used to construct the refined theory for the plane problems. In the case of homogeneous boundary conditions, the exact governing differential equations and solutions for the plate are derived, which consist of four governing differential equations. It can be noted that the refined theory is consistent with the decomposition theorem by Gregory. In the case of nonhomogeneous boundary conditions, the approximate governing differential equations and solutions for the plate are accurate up to the second-order terms. The correctness of the stress assumptions in the classic plane stress problems is revised. In two illustrative examples of plates, it is shown that the exact or accurate solutions can be obtained in use of the refined theory deduced herein.; Engineering, Electrical & Electronic; Mechanics; Physics, Applied; SCI(E); EI; 0; ARTICLE; 1; 31-46; 32
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/396255]
专题	工学院
推荐引用方式 GB/T 7714	Gao, Yang,Xu, Bai-Xiang. The refined theory for a magnetoelastic body - II. Plane problems[J]. international journal of applied electromagnetics and mechanics,2010.
APA	Gao, Yang,&Xu, Bai-Xiang.(2010).The refined theory for a magnetoelastic body - II. Plane problems.international journal of applied electromagnetics and mechanics.
MLA	Gao, Yang,et al."The refined theory for a magnetoelastic body - II. Plane problems".international journal of applied electromagnetics and mechanics (2010).