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Research Papers

Elastic Stress and Magnetic Field Concentration Near the Vertex of a Soft-Ferromagnetic 2D Compound Wedge

[+] Author and Article Information
Davresh Hasanyan1

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219

Zhanming Qin2

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219

Liviu Librescu3

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219

1

Present address: Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Republic of Armenia, 0019.

2

Present address: School of Aerospace, Xi'an Jiaotong University, Xi'an, P. R. China, 710049.

3

Deceased on April 16, 2007 for saving lives of students in his class during the campus tragedy at Virginia Tech, Blacksburg.

J. Appl. Mech 75(4), 041013 (May 14, 2008) (6 pages) doi:10.1115/1.2912937 History: Received May 01, 2007; Revised December 27, 2007; Published May 14, 2008

The problem of elastic stress and magnetic field concentration near the vertex of a compound wedge is modeled and investigated. The wedge is made of two isotropic dielectric soft-ferromagnetic materials and is immersed in a static magnetic field. The technique of eigenfunction series expansion is applied on the components of the elastic displacement field and the induced magnetic potentials near the vertex. It is shown that in this region, the magnetic susceptibility and the applied magnetic field have a strong influence on the elastic stress and magnetic field concentration. The results are instrumental toward actively controlling the stress concentration intensity via the applied magnetic field.

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Copyright © 2008 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

Zero-value contour plot of the function F(⋯) in Eq. 21 in the range (αR∊(0,1], αI∊[0,1]). (ν(1),ν(2))=(0.32,0.28), (χ(1),χ(2))=(10,104), G(1)∕G(2)=16, (θ1,θ2)=(7π∕12,−5π∕12), B̂0=0.1. The solid line is the solution of α, which fulfills Re[F]=0; while the dotted line is the solution of α, which fulfills Im[F]=0. The final solutions of α are the crossed points of these two types of lines.

Grahic Jump Location
Figure 1

Geometry (left) and the coordinates (right) of a compound wedge. In the left, H0(1) and H0(2) denote the static magnetic fields in Materials (1) and (2), respectively.

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