Szewczyk Roman
Warsaw University of Technology, Faculty of Mechatronics, Institute of Metrology and Biomedical Engineering, A. Boboli 8, 02-525 Warsaw, Poland.
Materials (Basel). 2020 Sep 14;13(18):4070. doi: 10.3390/ma13184070.
This paper presents a new solution enabling modeling of the mechanical stress tensor dependence of the 3D relative permeability tensor of isotropic material only on the basis of knowledge of the axial stress dependence characteristics. For the proposed model, the concept of principal stresses is utilized. In such a case, the sophisticated system of axial and shear stresses may be reduced to the set of axial stresses in a rotated coordination axes system. As a result, the proposed solution generalizes the explanation of the shape of magnetoelastic characteristics as well as radically extending possibility of the application of the finite elements methods (FEM) to describe sophisticated magnetoelastic systems.
本文提出了一种新的解决方案，该方案仅基于轴向应力依赖性特征的知识，就能对各向同性材料的三维相对渗透率张量的机械应力张量依赖性进行建模。对于所提出的模型，采用了主应力的概念。在这种情况下，复杂的轴向和剪应力系统可以简化为旋转坐标轴系统中的轴向应力集。结果，所提出的解决方案推广了对磁弹性特性形状的解释，同时也从根本上扩展了应用有限元方法（FEM）来描述复杂磁弹性系统的可能性。
