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Form Effect in Linear Magnetostriction

 

作者: H. E. Stauss,  

 

期刊: Journal of Applied Physics  (AIP Available online 1959)
卷期: Volume 30, issue 5  

页码: 698-701

 

ISSN:0021-8979

 

年代: 1959

 

DOI:10.1063/1.1735217

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The influence of the shape of the specimen upon the measured value of magnetostriction is a matter of importance. The classical thermodynamical calculation of Becker applies to specimens in like magnetic fields and consequently compares bodies with unlike intensities of magnetization. In the present paper use is made of the principle of virtual work to make a calculation of the form effect as dependent upon the intensity of magnetization. The form effect for an ellipsoid in an extended uniform field is found to be a constrictive strain of the magnitude&Dgr;A11=−(1−2&mgr;)ENI22, where &Dgr;A11is the form effect in strain, &mgr; is Poisson's ratio,Eis Young's modulus,Nis the coefficient of self‐demagnetization, andIthe intensity of magnetization. Above saturation the form effect is&Dgr;A11=−(1−2&mgr;)ENIs22, whereIsis the saturation value ofI.The meaning of the term form effect has been expanded to include not only the change in strain in the specimen resulting from the shape of the specimen itself, but also the change resulting from the position of the specimen relative to the magnetizing apparatus. A calculation of the form effect in this extended sense is made for two useful experimental arrangements; one where a specimen is sandwiched between two movable rods and the other where the specimen is situated in the fixed gap of a magnet. For the first case it is found that the form effect depends upon the self‐demagnetization of the entire ferromagnetic arrangement and not of the specimen itself. In the second case, the form effect is dependent upon the ratio of gap energy to the volume of the ferromagnetic system and can be small, subject to the qualification that the form effect does not include the effects of any stresses that develop within the gap.

 

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