复合材料及其结构塑性极限载荷的上限分析

基金项目: 国家自然科学基金项目(19902007)、清华大学机械工程学院研究基金项目和教育部留学回国人员启动基金项目

详细信息

UPPER BOUND ANALYSIS OF PLASTIC LIMIT LOADS FORCOMPOSITE MATERIALS AND STRUCTURES

摘要

摘要: 从细观和宏观两个角度研究复合材料及其结构的塑性极限承载问题。在细观角度上,从基于材料细观结构代表性胞元出发,根据塑性极限分析中的上限理论,借助于均匀化理论和有限元方法,建立复合材料强度参数计算的有限元数学规划格式。在此基础上,模拟复合材料的屈服面,进而拟合出复合材料的屈服准则。在宏观角度上,针对由复合材料构成的结构,根据数值模拟得到的屈服准则,利用上限分析方法计算得到复合材料结构的极限载荷。
- 复合材料 /
- 塑性极限分析 /
- 均匀化方法 /
- 有限元方法
Abstract: The plastic limit loads of composite materials and structures are analyzed in both the macroscopic and microscopic scales. Based on the concept of a representative volume element reflecting the microstructures of the composites, the strength parameters of the composites can be calculated. By means of the homogenization technique of micromechanics method and the finite element method, the yield surface of a composite can be determined. Then an upper bound of the plastic limit load of a composite structure can be calculated by solving a nonlinear mathematical programming problem.
- composites /
- plastic limit analysis /
- homogenization technique /
- finite element method