摘要
用最小二乘配点法对各向异性层合扁薄壳体的弹塑性弯曲问题进行分析。文中以双五次样条函数为位移试函数，采用弹塑性增量理论和由Hill推广的Huber-Mises屈服准则，把材料塑性变形的影响作为等效荷载处理，从而使推出的基本迭代公式为一常系数线性代数方程组，然后用变步长增量加载和初应力法求解。算例证明该法收敛快、精度高，是一种简便、经济的分析方法。
In this paper, the least-squares collocation method is employed to analyze the elastoplastic problems of laminated anisotropic thin plates and shells. The Huber-Mises yield criterion extended by Hill is introduced. By taking double fifth B-spline functions as the displacements trial functions and using the elastoplastic incremental theory, the basic iteration formulas of the problems are derived. In these formulas, the effects of plastic deformation of the material are taken as the equivalent loads. As a result, the derived formulas are linear algebraic equations which can be solved by the initial stress method. Numerical examples demonstrate the simplicity, accuracy and efficiency of the present method.
出处
《工程力学》
EI
CSCD
北大核心
2001年第3期91-96,共6页
Engineering Mechanics
关键词
各向异性
层合板壳
弹塑性
增量理论
最小二乘配点法
复合材料
Elastoplasticity
Iterative methods
Least squares approximations
Linear equations
Plastic deformation
Stress analysis
