PLASTIC LIMIT ANALYSIS OF DUCTILE COMPOSITE STRUCTURES FROM MICRO-TO MACRO-MECHANICAL ANALYSIS
PLASTIC LIMIT ANALYSIS OF DUCTILE COMPOSITE STRUCTURES FROM MICRO-TO MACRO-MECHANICAL ANALYSIS作者机构:Department of Civil Engineering University of Science and Technology Beijing Beijing 100083 China Department of Engineering Mechanics Tsinghua University Beijing 100084 China
出 版 物:《Acta Mechanica Solida Sinica》 (固体力学学报(英文版))
年 卷 期:2009年第22卷第1期
页 面:73-84页
核心收录:
学科分类:08[工学] 0825[工学-航空宇航科学与技术] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)]
基 金:supported by the National Natural Science Foundation of China (No.50809003) the National Foundation for Excellent Doctorial Dissertation of China (200025)
主 题:periodic composites limit analysis homogenization micro/macromechanics
摘 要:The load-bearing capacity of ductile composite structures comprised of periodic composites is studied by a combined micro/macromechanicai approach. Firstly, on the microscopic level, a representative volume element (RVE) is selected to reflect the microstructures of the composite materials and the constituents are assumed to be elastic perfectly-plastic. Based on the homogenization theory and the static limit theorem, an optimization formulation to directly calculate the macroscopic strength domain of the RVE is obtained. The finite element modeling of the static limit analysis is formulated as a nonlinear mathematical programming and solved by the sequential quadratic programming method, where the temperature parameter method is used to construct the self-stress field. Secondly, Hill's yield criterion is adopted to connect the micromechanicai and macromechanical analyses. And the limit loads of composite structures are worked out on the macroscopic scale. Finally, some examples and comparisons are shown.