为了对处于环境温、湿度中的混凝土的收缩变形进行有效数值模拟分析,提出了一种数值解析与有限元分析相结合的方法.根据多孔介质热质传输原理描述混凝土中湿热迁移过程的耦合偏微分方程组,借助Laplace变换及传递函数将其简化为拉氏域内的简单微分方程并求解,然后通过Laplace逆变换得到物理空间内的温度和含湿量.在此基础上利用有限元分析方法得到混凝土湿热耦合收缩变形.该方法克服了其他求解过程中特征值复杂、耦合困难及准确性差的问题,并有效解决了现有有限元软件难以处理湿度应力及变形的难题.以Hundt试验为算例的数值计算表明,模拟结果与试验数据具有良好的相关性.
To simulate the concrete shrinkage in varying temperature and moisture environments, a simulate procedure comprising an analytical process and a finite element analysis is proposed based on the coupled partial differential equations describing heat and moisture transfer in a porous medium. Using the Laplace transformation method and transfer function to simplify and solve the coupled equations in Laplace domain, the moisture and temperature distribution in time domain are obtained by inverse Laplace transformation. The shrinkage deformations of concrete are numerically simulated by the finite element method (FEM) based on the obtained temperature and moisture distribution. This approach avoids the complex eigenvalues, coupling difficulty and low accuracy found in other solving methods, and also effectively calculates the moisture induced shrinkage which is almost impossible using familiar FEM software. The validity of the simulation procedure is verified by Hundt's test data. The results reveal that the proposed approach can be considered a reliable and efficient method to simulate the coupling moisture and temperature shrinkage of concrete.