Rasilo Paavo, Singh Deepak, Jeronen Juha, Aydin Ugur, Martin Floran, Belahcen Anouar, Daniel Laurent, Kouhia Reijo
Tampere University, Electrical Engineering, PO Box 692, 33014 Tampere University, Finland.
Department of Electrical Engineering and Automation, Aalto University, PO Box 15500, 00076 Aalto, Finland.
Proc Math Phys Eng Sci. 2019 Mar;475(2223):20180280. doi: 10.1098/rspa.2018.0280. Epub 2019 Mar 27.
We present a novel approach for identifying a multiaxial thermodynamic magneto-mechanical constitutive law by direct bi- or trivariate spline interpolation from available magnetization and magnetostriction data. Reference data are first produced with a multiscale model in the case of a magnetic field and uniaxial and shear stresses. The thermodynamic model fits well to the results of the multiscale model, after which the models are compared under complex multiaxial loadings. A surprisingly good agreement between the two models is found, but some differences in the magnetostrictive behaviour are also pointed out. Finally, the model is fitted to measurement results from an electrical steel sheet. The spline-based constitutive law overcomes several drawbacks of analytical approaches used earlier. The presented models and measurement results are openly available.
我们提出了一种新颖的方法，通过从可用的磁化强度和磁致伸缩数据直接进行双变量或三变量样条插值来识别多轴热力学磁-机械本构定律。在磁场、单轴应力和剪应力的情况下，首先使用多尺度模型生成参考数据。热力学模型与多尺度模型的结果拟合良好，之后在复杂的多轴载荷下对这些模型进行比较。发现这两个模型之间有着惊人的良好一致性，但也指出了磁致伸缩行为方面的一些差异。最后，将该模型拟合到电工钢片的测量结果。基于样条的本构定律克服了早期使用的解析方法的几个缺点。所展示的模型和测量结果均可公开获取。
