模拟岩石边坡倾倒破坏的数值流形法  

Toppling failure simulation of rock slopes by numerical manifold method

作　　者：张国新[1] 赵妍[1] 石根华[1] 彭校初[1] 

机构地区：[1]中国水利水电科学研究院结构材料所,北京100038

出　　处：《岩土工程学报》2007年第6期800-805,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金重大资助项目(50539020);国家自然科学基金重大资助项目(50539010)

摘　　要：倾倒破坏是岩石边坡破坏形式之一。对这种破坏形式的模拟要求计算方法能够正确模拟变形和应力、破坏面的发展、块体间的接触及块体的运动。数值流形法具备这种能力,可用于正确模拟岩石边坡的倾倒破坏。简单介绍了流形元法的基本原理、接触模拟的方法、接触力、接触应力的计算方法及用于倾倒破坏模拟的方法,并运用几个算例与Goodman和Bray提出的基于极限平衡原理的分析方法(以下简称G-B方法)、离心机模型试验方法进行了比较;给出了流形元结构计算的安全系数,并且用极限平衡原理结合流形元计算的应力得出了结构整体和单个块体的安全系数,同流形元结果进行了对比。结果表明:介绍的数值流形法可以正确计算边坡倾倒安全系数,模拟边坡的倾倒破坏过程。As one type of rock slope failures, toppling could be correctly simulated only if deformation and stress, failure growth, contacts and movements of blocks were well taken into account. The numerical manifold method could be used for this purpose. The fundamental principles of manifold method, the contact simulation, the calculation method of contact forces and stress, and other methods simulating toppling failure were introduced. Several examples were used to illustrate the manifold method in comparison with G-B method put forward by Goodman and Bray and centrifuge model tests. The safety factor by manifold method was obtained. For comparison, the safety factors of the whole model and every block were also given by Limit Equilibrium Theory. It was shown that the numerical manifold method could be used to correctly simulate slope toppling failure and to calculate the safety factor as well.

关 键 词：二阶流形元法 倾倒破坏 块体运动 接触 

分 类 号：TU457[建筑科学—岩土工程]