矩形板在双向压力与剪切力复合加载下的塑性屈曲

PLASTIC BUCKLING OF RECTANGULAR PLATES SUBJECTED TO COMBINED ACTIONS OF COMPRESSIONS IN 2 DIRECTIONS AND SHEAR LOADINGS

  • 摘要: 依据Prandtl-Reuss增量理论和Mises屈服准则,推导出完整的复合加载平板的塑性分支屈曲微分方程。应用特征值分解技术,计算了双向压力与剪力复合加载铰支矩形板在塑性流动区和应变强化区的稳定参数,绘制了相应的塑性分支应力曲线。计算结果和理论分析有较好的相关性。

     

    Abstract: This paper presents a complete differential equation for the plastic bifurcation buckling of plates under combined loadings. The analysis is based on the Prandtl-Reuss incremental theory and the Mises yield criterion. Using the resolving techniques of eigenvalues author analyzes the simply-supported rectangular plates subjected to compression in two perpendicular directions and shear loadings; hence the parameters of plastic stability are obtained and the plastic bifurcation stress curves are drawn in the plastic flow range and the strain hardening range. Analyzing results show good correlations with theoretical results.

     

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