【摘要】 无网格局部Petrov-Galerkin法构造的高阶光滑的形函数非常适合建立板壳结构场函数的逼近函数,是一种比较理想的研究板壳问题的方法。基于Mindlin板壳理论,采用更新拉格朗日原理和大变形条件下场量的无网格表达形式,实现了率型无网格局部Petrov-Galerkin方法对板壳弹塑性大变形的求解,算例分析表明了方法的有效性和较高的分析精度。更多还原

【Abstract】 The meshless local Petrov-Galerkin (MLPG) method is a truly meshless one. As the result of its high smooth shape function which is very suitable for approximating the field variables of plates and shells and the geometry of the curve surface shell, the MLPG method becomes one of the relatively perfect tools. In this paper, the Mindlin theory is used to represent field variables according to the meshless nodal model of plates and shells, the rate-dependent MLPG method for plates and shells is implemented under elastic-plastic large deformation conditions by employing Updated-Lagrange principles, and the numerical examples show that the present method is efficient and of high accuracy.更多还原