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平面裂纹变形扰动磁场的解析解

Keywords: 磁弹性,裂纹,扰动磁场,Fourier变换

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Abstract:

基于磁弹性耦合问题的线性化理论,采用Fourier变换方法对含内部中心裂纹的无限大板在外力和磁场共同作用下的变形扰动磁场进行了求解,得到了变形后扰动磁场的解析解.结果表明:变形扰动磁场场强与外力成正比;切向强度沿裂纹呈反对称分布,在裂纹上下表面产生突变;法向强度沿裂纹对称分布,在裂纹尖端产生奇点.

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