Perturbed magnetic field of an infinite plate with a centered crack

Deforming a cracked magnetoelastic body in a magnetic field induces a perturbed magnetic field around the crack. The quantitative relationship between this perturbed field and the stress around the crack is crucial in developing a new generation of magnetism-based nondestructive testing technologies. In this paper, an analytical expression of the perturbed magnetic field induced by structural deforma- tion of an infinite ferromagnetic elastic plate containing a centered crack in a weak external magnetic field is obtained by using the linearized magnetoelastic theory and Fourier transform methods. The main finding is that the perturbed magnetic field intensity is proportional to the applied tensile stress, and is dominated by the displacement gradient on the boundary of the magnetoelastic solid. The tangential component of the perturbed magnetic-field intensity near the crack exhibits an antisymmetric distribution along the crack that reverses its direction sharply across its two faces, while the normal component shows a symmetric distribution along the crack with singular points at the crack tips.

Thermomagnetic viscoelastic responses in a functionally graded hollow structure

This paper presents an analytical solution for the interaction of electric potentials, electric displacements, elastic deformations, and thermoelasticity, and describes electromagnetoelastic responses and perturbation of the magnetic field vector in hollow structures （cylinder or sphere）, subjected to mechanical load and electric potential. The material properties, thermal expansion coefficient and magnetic permeability of the structure are assumed to be graded in the radial direction by a power law distribution. In the present model we consider the solution for the case of a hollow structure made of viscoelastic isotropic material, reinforced by elastic isotropic fibers, this material is considered as structurally anisotropic material. The exact solutions for stresses and perturbations of the magnetic field vector in FGM hollow structures are determined using the infinitesimal theory of magnetothermoelasticity, and then the hollow structure model with viscoelastic material is solved using the correspondence principle and Illyushin＇s approximation method. Finally, numerical results are carried out and discussed.

基于主动磁化的钢板应力测量性能提升方法研究

提出一种提高基于磁弹效应的钢板应力测量灵敏度和一致性的方法。从力磁耦合理论模型出发,分析强磁化和弱交流磁化对力磁耦合所起的作用:强磁化能通过降低初始磁导率和统一力磁耦合参数,提高应力测量的灵敏度及一致性;弱交流磁化提供小幅振荡磁场,能有效消除干扰磁场影响。开展了基于磁弹法的钢板应力测量有限元仿真研究,表明当初始相对磁导率较低时,应力作用下的钢板法向磁感应强度变化率较大,即应力测量灵敏度较高。开展了不同强磁化条件下不同厚度钢板的拉伸试验,测量其法向磁感应强度变化。实验结果表明:与未磁化相比,强磁化后钢板应力测量灵敏度有数十倍提升,一致性有数倍至百倍提高。其中,3 mm厚度钢板采用单磁铁移动磁化方式的应力测量灵敏度和一致性参数提高至1.665 mGs/MPa和2%;5 mm厚度钢板采用双磁移动磁化方式的应力测量灵敏度提高至1.41 mGs/MPa,采用单磁铁移动磁化方式的一致性参数提高至0.2%;7 mm厚度钢板采用双磁铁移动磁化方式的应力测量灵敏度和一致性参数提高至1.2 mGs/MPa和1.8%。

地磁环境下结构变形引起的扰动磁场

基于磁弹性相互作用的线性化理论,针对地磁环境特点,忽略磁场对结构位移的影响而仅考虑位移对磁场的耦合作用,通过将位移梯度引入变形后界面外法线矢量方法,给出了变形引起的扰动磁场计算的定解场方程和界面衔接条件,并计算了符拉芒问题的变形扰动磁场．结果表明,变形扰动磁场完全取决于位移梯度在界面外法向上的投影；扰动场强与外力成正比；空气中扰动磁场的法向强度和切向强度分布特征明显不同。法向强度在力作用点对称分布,并且在力作用点处存在奇点；切向强度则呈反对称分布,在力作用点处发生突变．

带圆孔无限大受拉板的变形扰动磁场

利用磁弹性耦合问题的线性化理论,采用分离变量方法对带圆孔的无限大板在受拉应力和横向磁场共同作用下的变形扰动磁场进行了求解,得到了变形引致的扰动磁场的解析解,并对其强度量级和分布情况进行了讨论.结果表明,变形扰动磁场场强与外力成正比;与无变形磁场强度相比,变形扰动磁场小3个量级,但波峰波谷数目增加,且在圆孔边界径向扰动磁场强度迅速衰减.

平面裂纹变形扰动磁场的解析解

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.

弹性半平面问题的变形扰动磁场

为计算机械应力引起的扰动磁场,从磁弹性问题的线性理论出发,导出了结构变形引起的扰动磁场的定解方程和边界条件．采用傅里叶变换方法对受集中力作用半平面问题的变形扰动磁场进行了求解,并对空气中的扰动磁场强度分布及量级进行了讨论．结果表明,空气中扰动磁场的法向强度和切向强度分布特征明显不同,法向强度关于力作用点对称分布,并且在力作用点处达到最大,而切向强度关于力作用点反对称分布,并且在力作用点处有突变;地磁环境下,磁场对位移的影响可以忽略不计;扰动场强与外力成正比．

热冲击作用下正交各向异性圆柱体的动应力及磁场矢量扰动的集中效应

给出一种解析方法求解在两种热载荷冲击作用下 ,正交各向异性圆柱体的动应力和磁场矢量扰动的集中效应 .通过一种有限积分和拉普拉斯变换求出热磁变形运动方程的解析解 ,给出相应的动应力和磁场矢量扰动的解析表达式 ,得到柱体内动应力和磁场矢量扰动的响应历程及分布规律 .