梁板结构弹塑性大变形有限元分析

基于Mindlin板理论，给出了用于梁板结构弹塑性大变形分析的新型梁板单元模型。在板和肋骨运动方程中包含一阶性线性项以计及几何大变形的影响，材料非线性特性由Von Mises屈服准则及相应的流动法则表示。由虚功原理导出的非线性控制方程，用Gauss求积法计算并由Newton-Raphson增量迭代法求解。本文通过一些算例，证明了所采用的单元具有良好的收敛性和足够的精度。

Large Deformation Elastic-plastic Finite Element Analysis of Beam-plate Structures

A new beam-plate element based on Mindlin′s plate-theory is presented to investigate the elastic-plastic nonlinear behavior of beam-plate structures. Large deformation effects are taken into account by including first order nonlinearities in the strain-displacement relations of the plate and the stiffeners, and material non-linearities are included via von Mises yield criterion and associated flow rule. The volume integrals are integrated numerically using Gauss quadrature, and the resulting nonlinear equilibrium equations are solved by Newton-Raphson incremental-iterative procedures. A Variety of numerical examples are presented to demonstrate the precision and convergence of the method.