铁磁矩形简支板的磁弹塑性弯曲行为分析

基于广义变分原理得到的磁力计算公式,采用塑性增量理论,Mises屈服准则和有效的增量有限元计算方法,研究了线性强化材料铁磁矩形板的磁弹塑性弯曲行为。在文中定量模拟了铁磁简支矩形板在外加磁场作用下的挠度特征曲线,铁磁板发生塑性变形时的构型图和不同外加磁场下的中截面构型,以及铁磁板在卸载后的残余挠度特征曲线等力学特征,分析了塑性区域随磁场增加而扩展的情况。数值结果表明:当铁磁矩形板上的部分区域发生塑性屈服后,其变形明显大于相同磁场条件下铁磁板发生的弹性变形值;且随着外加磁场倾角的增大(0°<α≤45°),铁磁板进入塑性屈服状态的临界屈服磁场值减小;铁磁板的中截面构形为双半波型,其塑性区域由铁磁板两侧挠度最大的区域向板的中心区域扩展,板的中心最后进入塑性区域等。

Analysis on behaviors of the ferromagnetic rectangular plate with simple supports

Based on the generalized variational principle of ferromagnetic bodies and the Mises plastic yield criteria adopted , the magneto-elastic-plastic behaviors, such as plastic yield and elastic-plastic bending and so on, of the ferromagnetic rectangular plate with simple supports were numerically simulated through the increment finite element Methods. The numerical results indicate that when the ferromagnetic plates undergo plastic yield, the deformation of ferromagnetic plate becomes larger than that for those with elastic deformation. The incident angle of applied magnetic field is an important factor of deformation the ferromagnetic rectangular plate, the deformation becomes larger as the incident angle of magnetic field increasing. In the oblique magnetic field, the area near the point where the displacement is the most largest of the plate first occurs plastic yielding, and the center of the ferromagnetic plate occurs plastic yielding at last etc.