CAJ | 학술논문

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。
응용다척도점진전개적균균화이론，추도삼유균균화이론적유한원해법，구해복합재료등효탄성계수。가설다공혼응토유광활균균일치적구공여수니석기질조성，제출개진적수궤투방방법，생성삼유균균화이론구해적수궤단포모형。이취분을희포말（EPS）혼응토위수치산례，생성6조불동체적분수적EPS혼응토수궤단포모형，통과삼유균균화이론적유한원법계산득도기등효탄성모량。계산결과표명：수궤단포모형능반영세관적비균질성，삼유균균화이론적유한원법계산득도적등효탄성모량변화추세비교부합Miled적시험결과。
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 3D 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.