Study on Electromagnetoelastic Analysis of Cracked Materials and Singular Stress Field

研究了电磁弹性固体(弹性导体、弹性铁磁体、弹性介质)在电磁场中的断裂与变形。弹性导体中有限裂纹在电磁力作用下的瞬时奇异应力如果在磁场和电流中作用于导电裂纹材料，则裂纹的存在会对电流产生扰动，而电磁体力则是由磁场和扰动电流之间的相互作用引起的。分析了含有限裂纹导体在脉冲电流和恒定磁场作用下的电磁弹性问题，分析了电磁力对裂纹材料力学行为的影响。软铁磁板与贯穿裂纹弯曲的磁弹性相互作用对软铁磁体…的弯曲问题进行了磁弹性分析在均匀磁场作用下，具有穿透裂纹的有限宽薄板更多。计算了磁矩强度因子，并图形化地展示了磁场对归一化值的影响。含裂纹软铁磁板中的磁弹性波散射研究了均匀磁场作用下含穿透裂纹的软铁磁平板的动力学分析。计算了动态矩强度因子与频率的关系，并图形化地展示了磁场对归一化值的影响。含裂纹的磁饱和平板在均匀磁场中的弯曲本文对有限宽含穿透裂纹的磁饱和平板在均匀磁场中的弯曲问题进行了磁弹性分析。得到了力矩强度因子的数值，并将结果绘制成图形，以显示磁场的影响。导电板中穿透裂纹的磁弹性波散射我们考虑了均匀磁场作用下导电板中穿透裂纹对时间简谐弯曲波的散射。我们讨论了两个案例。首先，考虑了理想导电性问题。其次，研究了准静态电磁场问题。计算了动态矩强度因子与频率的关系，并图形化地展示了磁场对归一化值的影响。压电条与有限裂纹的电弹相互作用根据线性压电性理论，我们考虑了正交各向异性条中有限裂纹的电弹性问题。通过数值计算，给出了压电陶瓷的应力和电场强度因子。较少

The fracture and deformation of electromagnetic elastic solids (elastic conductors, elastic ferromagnetic bodies, elastic dielectric substances) in electromagnetic fields are investigated.1. Transient Singular Stresses of a Finite Crack in an Elastic Conductor under Electromagnetic ForceIf an electrically conducting cracked materials is used in a magnetic field and electric current field, the current flow is disturbed by the presence of the crack and the electromagnetic body force is caused by the interaction between the magnetic field and the disturbed current. The electromagneto-elastic problem is analyzed for a conductor with a finite crack under an impulsive electric current flow and a constant magnetic field, and the effect of the electromagnetic force on the mechanical behavior of the cracked material is shown.2. Magnetoelastic Interaction of a Soft Ferromagnetic Plate with a Through Crack under BendingA magneto-elastic analysis is presented for the bending of a soft ferromagneti … More c thin plate of finite width with a through crack under a uniform magnetic field. The moment intensity factor is computed and the influence of the magnetic field on the normalized values is displayed graphically.3. Magnetoelastic Wave Scattering in a Cracked Soft Ferromagnetic PlateThe dynamic analysis of a soft ferromagnetic flat plate with a through crack under a uniform magnetic field is considered. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically.4. Bending of a Magnetically Saturated Plate with a Crack in a Uniform Magnetic FieldA magneto-elastic analysis is presented for the bending problem of a magnetically saturated flat plate of finite width with a through crack under a uniform magnetic field. Numerical values on the moment intensity factor are obtained and the results are graphed to display the influence of the magnetic field.5. Magnetoelastic Wave Scattering at a Through Crack in a Conducting PlateWe consider the scattering of time harmonic flexural waves by a through crack in a conducting plate under a uniform magnetic field. We discuss two cases. First, the problem of perfect conductivity is considered. Secondly, the problem of the quasistatic electromagnetic field is considered. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically.6. Electroelastic Interaction of a Piezoelectric Strip with a Finite CrackFollowing the theory of linear piezoelectricity, we consider the electroelastic problem of a finite crack in an orthotropic strip. Numerical calculations are carried out and the stress and electric field intensity factors are shown graphically for piezoelectric ceramics. Less