Analytical solution of perturbed magnetic fields of plane crack

作者：Qin Fei^*; Zhang Yang; Liu Ya Nan

来源：Journal of Beijing University of Technology, 2008, 34(12): 1238-1244.

• Analytical solutions
• Anti-symmetric
• Central cracks
• Crack
• Displacement gradients
• Elastic plates
• Fourier transform method
• Magnetic intensities
• Magnetic-field intensities
• Magnetoelastic
• Perturbed magnetic fields
• Plane cracks
• Singular points
• Structural deformations
• Symmetric distributions

Based on the linearized magnetoelastic theory, an infinite ferromagnetic elastic plate containing a central crack was considered, and the perturbed magnetic fields generated by structural deformation under magnetic fields perpendicular to the crack was analyzed by applying Fourier transform method. The results show that the perturbed magnetic field intensity is proportional to the applied tensile stress, and it is dominated by the displacement gradient on the boundary of the magnetoelastic solid. As for the magnetic intensity components to the boundary of the structure, the tangent shows antisymmetric distribution along the crack and inverses its direction sharply at the two faces of the crack, while the normal shows symmetric distribution along the crack and presents singular points at the crack tips.

• 出版日期2008
• 单位北京大学