岩石力学与工程问题的DDA和NMM模拟研究进展

Research progress in DDA and NMM simulations of rock mechanics and engineering problems

全面回顾了非连续变形分析(DDA)方法与数值流形方法(NMM)在岩石力学与工程问题模拟领域的研究与应用进展。首先论述了相关理论与算法的研究现状,包括DDA中旋转虚假体积膨胀及能量损耗问题的解决,开裂破坏模拟的子块体单元DDA方法和节点DDA方法,以及颗粒DDA方法的发展等;也包括对NMM开裂破坏模拟能力及双重覆盖系统的研究,无网格NMM及粒子NMM的发展等;其中还涉及单纯形积分、高阶方法、材料本构模型、显式与并行计算的研究等;此外还对接触相关问题的研究进行了专门论述。随后,对DDA与NMM在岩体边坡失稳与落石、地下岩体结构的变形与破坏、应力波传播与岩石爆破、岩体结构地震破坏与失稳及岩体锚固工程领域的代表性研究与应用工作进行了详细论述。在此基础上,凝练和论述了DDA和NMM研究与应用面临的主要问题与挑战,包括计算控制参数、计算效率、多物理场、三维方法、程序的商业化开发等,并给出了相应的对策建议。

This paper fully reviews the progress in the research and application of discontinuous deforma-tion analysis(DDA)and numerical manifold method(NMM)in the field of rock mechanics and engi-neering problem simulations.First,the research status of related theories and algorithms is expounded,including the solution to the problem of spurious rotational volume expansion and energy loss in DDA,the sub-block element DDA method and the nodal-based DDA method for fracturing failure simulation,and the development of particle DDA method.Research on fracturing simulation capability and dual cover systems of NMM,as well as development of the meshless NMM and particle NMM are also included.Research on simplex integration,high-order method,material constitutive model,and explicit and parallel computing are also involved.Moreover,research on contact-related problems is specially discussed.Subse-quently,this paper expounds on the representative research and application works of DDA and NMM in the engineering fields of rock mass slope instability and rockfall,deformation and failure of underground rock mass structure,stress wave propagation and rock blasting,seismic breakage and instability of rock mass structure,and rock mass anchoring.On this basis,the main problems and challenges of the research and application of DDA and NMM are abstracted and discussed,including the calculation control parameters,calculation efficiency,multi-physics fields,three-dimensional methods,and the commercial development of the programs,and corresponding countermeasures are proposed.