摘要
应用多尺度渐进展开的均匀化理论,推导三维均匀化理论的有限元解法,求解复合材料等效弹性系数。假设多孔混凝土由光滑均匀一致的球孔与水泥石基质组成,提出改进的随机投放方法,生成三维均匀化理论求解的随机单胞模型。以聚苯乙烯泡沫(EPS)混凝土为数值算例,生成6组不同体积分数的EPS混凝土随机单胞模型,通过三维均匀化理论的有限元法计算得到其等效弹性模量。计算结果表明:随机单胞模型能反映细观的非均质性,三维均匀化理论的有限元法计算得到的等效弹性模量变化趋势比较符合Miled的试验结果。
The finite element method （FEM） of 3D homogenization theory is derived through the homogenization theory in multi-scale to predict the equivalent elastic modulus of composite material. It is supposed that porous concrete consists of mortar ma- trix and identical smooth balls. To generate the random unit-cell model of porous concrete, an improved numerical method of ran- dom pores is presented. The expanded polystyrene （EPS） concrete is taken as an example. Six groups of random unit-cell models of different volume fractions of EPS concrete are generated, and its equivalent elastic modulus is calculated by FEM of 31） homogeniza- tion theory. It is shown that random unit-cell model can express both the nonuniform in mesoscale and the equivalent elastic modu- lus calculated by FEM of 3D homogenization theory is consistent with Miled＇s test.
出处
《后勤工程学院学报》
2015年第3期87-92,共6页
Journal of Logistical Engineering University
基金
全军后勤科研计划项目(BY210C029)
关键词
三维均匀化理论
有限元法
随机投放方法
多孔混凝土
等效弹性模量
3D homogenization theory
finite element method
numerical method of random pores
porous concrete
equivalentelastic modulus
作者简介
张新，男，硕士生，主要从事军事土木工程抢修抢建技术与装备研究。
