非线性铁磁简支梁式板磁弹塑性力学行为分析

基于铁磁介质广义变分原理得到磁力计算公式和磁力耦合的非线性数值计算程序，首次对不可移简支铁磁梁式板磁弹塑性的屈曲、后屈曲、弯曲等力学行为进行分析，在考虑几何非线性情形下，探讨了铁磁简支梁式板的磁弹塑性弯曲、屈曲和后屈曲，跳跃失稳等力学现象，给出了铁磁梁式板在外加磁场的各种初始角度下进入塑性屈服阶段的临界特征曲线．数值结果表明铁磁梁式板屈曲的临界磁场值对塑性变形是敏感的．

Analysis of the magneto-elastic-plastic behaviors of nonlinear ferromagnetic beam-plate with unmoved simple supports

Based on the general expression of magnetic force from the variational principle of ferromagnetic plates and the numerical programmer of nonlinear magneto-mechanics interaction, this paper is to quantitatively analyze the magneto-elastic-plastic behaviors, such as magneto-elastic-plastic buckling, post-buckling, bending and snapping, plastic yield and so on, of the ferromagnetic beam-plate with unmovable simple supports. The characteristic curves of the critical yield magnetic field of the ferromagnetic beam-plate are also given. The numerical simulations indicate that the critical magnetic value of ferromagnetic beam-plate with the elastic-plastic deformations are lower than those with the elastic deformation, which shows that the critical value of magnetic field is sensitive to plastic deformation.