Magnetic fields generated by a mechanical singularity in a magnetized elastic half plane

• Main Authors: Cheng-Wei Ren, 任承緯
• Other Authors: 葉超雄
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/08007302828496885159

博士 === 國立臺灣大學 === 土木工程學研究所 === 97 === The linear theory for a soft ferromagnetic elastic solid with multi-domain structure, which has been developed by Pao and Yeh (1973) is adopted to investigate some topics like magnetic inductions generated by generalized mechanical forces in the transversely isotropic magnetized elastic half-plane and oblique edge crack subjected to uniform magnetic induction and uniform mechanical tension. By applying the Fourier transform technique, the exact solutions for the generated magnetic induction due to various mechanical singularities such as single force, a dipole, single couple and dislocations are obtained in a closed form. A problem of magnetic induction generated by an oblique crack which is embedded in a magnetoelasticity half-plane is solved in two steps. Firstly, we change the original problem to a purely elastic case, i.e. the magnetic field is transformed to loading form the boundary conditions. Then, by applying the distributed dislocation technique, we can get the dislocation density function along the crack. Finally, we use this function as weight to integrate along the crack with green function solved in the first chapter, the magnetic induction along the free surface can be obtained numerically. The stress intensity factor can be obtained at the same time.