有限元强度折减法综述及发展….docx

有限元强度折减法综述及发展 摘 要：近年来，有限元强度折减法在工程上得到了广泛的应用，且取得了很大的成功。这已经证明其在岩土工程上的可行性与优越性。在边坡稳定性分析上的应用可以说是有限元强度折减法最为重要的应用之一，如今它在隧道工程上也得到了广泛应用。有限元强度折减法最大的优点是可以运用大型有限元程序如ANSYS、ABQUS等来进行求解，并且不用事先假定滑移面的形式和位置就可得到边坡的稳定安全系数和破坏位置。针对不同问题，要选择合适的屈服准则来进行求解，这样得到的计算结果与实际情况会更加接近。在未来的发展过程中，有限元强度折减法的应用范围还将不断扩大，并且对于屈服准则的选取也会越来越精准。 关 键 词：有限元强度折减法; 屈服准则; 边坡稳定性分析; 隧道工程; 三维有限元强度折减法 Summary and development of finite element strength reduction method Dong Xiao-jiang (College of Sciences, xi’an University of Science and Technology, xi’an 710054, China) Abstract：In recent years, finite element strength reduction method has been widely used in the project and achieved great success，which has proved its feasibility and superiority in geotechnical engineering. The application in slope stability analysis can be said to be one of the most important applications of finite element strength reduction method. Now it has also been widely applied in Tunnel Engineering. The biggest advantage of finite element strength reduction method is that it can use some large finite element software like ANSYS、ABQUS to get solutions. Without assuming the modus and position of the slip plane we can get the safe factor and the destruction of the slope. You should select the appropriate yield criterion to solve different problems. Only by that you can get closer result to the actual situation. In the future course of development, the scope of application of finite element strength reduction method will continue to be expanded and the selection of yield criterion will be more accurate. Key words: finite element strength reduction method; field criterion; slope stability analysis; tunnel engineering; three-dimensional finite element strength reduction method 1、引言 有限元强度折减法与有限元荷载增加法统称为有限元极限分析法,它们本质上都是采用数值分析手??求解极限状态的分析法。有限元极限分析法中安全系数的定义依据岩土工程出现破坏状态的原因不同而不同。如边坡工程多数由于岩土受环境影响，岩土强度降低而导致边坡失稳破坏。这类工程宜采用强度储备安全系数，即可通过不断降低岩土强度使有限元计算最终达到破坏为止。强度降低的倍数就是强度储备安全系数，我们把这种有限元极限分析法称为限元强度折减法[1]。 从有限元强度折减法的产生到其实用性得到论证及在工程上真正得到广泛应用经历了十分漫长的过程。通过对大量算例模型的计算、分