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数值流形法(numerical manifold method)是一种新型的数值计算方法,已成功应用于岩土工程的诸多领域,但该方法尚未应用于岩土工程蠕变分析。近年来对高阶流形法的研究表明,对复杂的岩土工程问题,使用高阶覆盖函数可明显提高流形法的计算精度。为此,开展了用高阶流形法模拟蠕变的研究,在高阶流形法中引入“时步-初应变”法计算蠕变,以广义开尔文体为基础,推导了相关的计算公式,并编制了相应的计算程序,同时还通过算例,验证了方法的可行性和合理性。结果表明,高阶流形可以方便地与“时步-初应变”法结合用于蠕变计算,可较好地模拟蠕变变形。算例分析表明,在不改变网格密度情况下,仅通过采用高阶覆盖函数,高阶流形法可大幅提高传统流形法的计算精度。
Numerical manifold method is a new numerical method and has been successfully applied to many fields of geotechnical engineering. However, this method has not been applied to geotechnical creep analysis. In recent years, the research of high-order manifold method shows that the computation accuracy of manifold method can be obviously improved by using the high-order cover function for complicated geotechnical problems. For this reason, the research on creep simulation with high-order manifold method has been carried out. In the high-order manifold method, the creep of “time step-initial strain” method is introduced. Based on the generalized Kelvin method, Calculation formula, and the corresponding calculation program has been compiled. At the same time, an example is given to verify the feasibility and rationality of the method. The results show that high-order manifolds can be easily used in creep calculation in combination with the “time step-initial strain” method, which can simulate the creep deformation well. The case study shows that the high-order manifold method can greatly improve the computational accuracy of the traditional manifold method without changing the grid density by using higher-order cover functions only.