基于数值流形法和非连续变形分析的滚石过程模拟

甯尤军; 安新梅; 吕庆; 马国伟

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Modeling rockfall process using numerical manifold method and discontinuous deformation analysis

首发时间：2012-12-28

Ning Youjun ¹
Ning Youjun (1981-),male,Associate Researcher,Main research interests include theories and applications of new numerical analysis methods
An Xinmei ² Lü Qing ³
Lü Qing (1978-),male,Lecturer,Main research insterests include evaluation and treatment of geohazard
Ma Guowei ⁴

1、School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang, 621010
2、School of Civil and Environmental Engineering, Nanyang Technological University, Singapore, 639798
3、College of Civil Engineering and Architecture，Zhejiang University，Hangzhou，310058
4、School of Civil and Resource Engineering , University of Western Australia, Crawley, WA 6009

Abstract：The recently developed numerical manifold method (NMM) provides a promising technology for modeling whole rockfall process, involving opening/sliding of pre-existing discontinuities, fracturing in intact rock bridges to form persistent failure surfaces and subsequent motions of the generated rock blocks. However, the NMM suffers one limitation, i.e., unexpected material domain area change occurs in rotation modelling. This problem cannot be easily solved because the rigid body rotation is not represented explicitly in NMM. The discontinuous deformation analysis (DDA) is specially developed for modeling discrete block systems. The rotation-induced material area change in DDA models can be avoided conveniently since the rigid body rotation is represented in an explicit form. In this paper, a transition technique is proposed and implemented to convert a NMM model to a DDA model so as to simulate whole rockfall process entirely by means of above two methods, in which NMM is adopted to model the early fracturing as well as the transition from continua to discontinua, while DDA is adopted to model the subsequent motion of the generated rock blocks. Such a numerical approach also improves the simulation efficiency greatly compared with a single NMM approach. The fracturing of a rock slab with pre-existing non-persistent joints located on a slope crest and the induced rockfall process are simulated. The validity of the modeling transition from NMM to DDA is verified and the applicability of the proposed numerical approach is illustrated.

keywords： Rock fracturing Non-persistent joint Rockfall Numerical manifold method Discontinuous deformation analysis

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基于数值流形法和非连续变形分析的滚石过程模拟

甯尤军 ¹
Ning Youjun (1981-),male,Associate Researcher,Main research interests include theories and applications of new numerical analysis methods
安新梅 ² 吕庆 ³
Lü Qing (1978-),male,Lecturer,Main research insterests include evaluation and treatment of geohazard
马国伟 ⁴

1、制造科学与工程学院，西南科技大学，绵阳，621010
2、土木与环境学院，南洋理工大学，新加坡，639798
3、建筑工程学院，浙江大学，杭州，310058
4、土木与资源学院，西澳大学，克劳利，WA6009

摘要：最近几年发展起来的数值流形法（NMM）是一种有广泛应用前景的数值模拟技术，可以模拟滚石灾害的形成全过程，包括潜在节理裂隙的发展，岩桥断裂形成贯通破裂面以及后续滚石的运动等。但由于NMM中缺乏刚体转动的显式表达，在模拟刚体转动时NMM难以处理材料域的变化问题，限制了其应用。非连续变形分析（DDA）特别适合模拟离散块体系统的运动。因刚体转动在DDA中具有显式表达，由转动引起的材料域的变化通过DDA可以方便的处理。因此，本文采用转换方法将NMM和DDA相结合，模拟滚石灾害的全过程。该方法首先利用NMM模拟岩体的裂隙发展、贯通，然后将NMM模型转换成DDA模型，再利用DDA模拟滚石的运动。和单一的NMM相比，本文方法提高了模拟的计算效率。同时，潜在危岩体中非贯通节理裂隙的断裂过程及后续滚石运动得以模拟。通过一个具体的滚石实例的模拟验证了本文方法的有效性和适用性。

关键词：岩石断裂非贯通性节理滚石数值流形法非连续变形分析

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1. Specialized Research Fund for the Doctoral Program of Higher Education （No.20090101120057）

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Ning Youjun,An Xinmei,Lü Qing,et al. Modeling rockfall process using numerical manifold method and discontinuous deformation analysis[EB/OL]. Beijing:Sciencepaper Online[2012-12-28]. https://www.paper.edu.cn/releasepaper/content/201212-1159.

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论文编号	201212-1159
论文题目	基于数值流形法和非连续变形分析的滚石过程模拟
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