渐进均匀化方法在复合地基复合模量计算中的应用

The Application of Asymptotic Homogenization Method in Calculating Composite Modulus of Composite Foundation

复合模量是计算复合地基沉降的关键指标之一,目前主要采用面积加权公式计算,实践证明该方法的计算值与实测值有较大误差.渐进均匀化方法(AHM)是一种求解周期性复合材料等效弹性模量的方法.将渐近均匀化方法应用于复合地基的等效模量分析,得到的等效弹性模量与试验数据进行比较,验证了该方法计算复合模量的可行性.在此基础上,做了复合模量影响因素的正交试验分析,结论是影响复合模量的主要因素是置换率.

Composite modulus is one of the key indicators while calculate the settlement of composite foundation. It is mainly calculated by the area weighted formula at present. And the practice proves that the value calculated by this method has bigger error comparing with the measured values. Asymptotic homoge- nization method （AHM） is a kind of method solving equivalent elastic matrix of periodic composite material. Comparing the measured data with the equivalent elastic matrix, which is the analysis of the equivalent mod- ulus of composite foundation that applied by AHM. The result of comparison shows it＇s feasibility of calcu- lating the composite modulus. Orthogonal test analyses have been done, on this basis, which is the most in- fluential factor of composite modulus. It has been proved that the main factor affects composite modulus is replacement rate.