数值流形方法框架下散体系统与连续介质共同作用模拟

数值流形方法是包含流形元、有限元及DDA在内的数值方法体系,建立流形元与DDA块体的接触方程,则可实现流形方法框架下的连续介质和散体系统共同作用模拟.针对填石路堤工程,编制了大型数值计算程序,采用块体随机生成、块体粒径控制及块体自然堆积的方法建立散体系统的DDA模型,对路堤的分层铺设、碾压及工后沉降变形等进行模拟分析.通过算例表明,在数值流形方法框架下,采用流形元与DDA共同作用的方法,可以很好地对同时存在连续变形和散体大变形的体系进行计算分析,其对该类问题的模拟更接近分析对象的实际情况,有助于从根本上揭示分析对象变形的细观机制和规律,并能考察更多因素对工程问题的影响.

Research on simulation method for interaction of rockfill embankment and foundation in system of numerical manifold method

The numerical manifold method is the numerical method system including manifold element and the discontinuous deformation analysis(DDA) and FEM, the analysis of interaction between continuous medium and discrete block system is realized in the system of manifold method by establishing the contact equation of manifold element and DDA block. Programmed large-scale numerical analysis program for project of rockfill embankment, in the program, the DDA model of embankment is built with random generation and diameter control and natural stacking of block; it is simulated that extending and rolling embankment layer by layer and the deformation of embankment after construction. The computation example shows, that it is feasible that apply interaction method of manifold element and DDA to simulate the interaction of discrete block system and continuous medium; its analysis of this kind of problem is in accord with actual condition of research object. For the discrete block system, the coupling computation method is helpful to disclose microcosmic mechanism and rule of deformation of engineering object, and investigate the influence of more factors for engineering problem.