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Biot固结理论的流固耦和机理较为严密,但应用中若不注意路基模量的合理取值,将严重影响预估沉降的准确性。基于规范中使用的压缩试验成果和割线模量法,结合路基多维沉降性状,提出相应的非线性弹性模型。将该模型应用于Biot固结理论,建立了考虑模量随埋深和固结过程变化的Biot固结控制方程,并推导了FEM方程,设计了具有快速收敛性的余量迭代算法。算例分析结果表明,不考虑模量变化的几种常用方法存在较大偏差。本文方法有助于提高预估路基沉降的精度。
The fluid-structure interaction and mechanism of Biot’s consolidation theory are more rigorous. However, if the reasonable application of the subgrade modulus is neglected in the application, the accuracy of the predicted settlement will be seriously affected. Based on the compression test results and the secant modulus method used in the code, combined with the multi-dimensional subsidence properties of subgrade, a corresponding nonlinear elastic model is proposed. Applying this model to the Biot consolidation theory, a Biot consolidation control equation considering the variation of the modulus with the depth and the consolidation process was established. The FEM equation was deduced and a residual iterative algorithm with fast convergence was designed. The results of the example analysis show that there are large deviations in several commonly used methods that do not consider the change of modulus. The method in this paper can help to improve the accuracy of subsidence prediction.