关键词: 稳定性分析, 块体理论, 非连续变形分析, 数值流形方法

Abstract: Stability analysis is the core of geotechnical engineering，and block theory is one of the most useful analysis methods in this area.Although classical block theory has a critical base on mathematics，it is also the highly abstraction and assumption on the realistic world，and some distance exists with the actual demand.The basic principles of classical block theory and its recent extensions are summarized and compared.It is put forward that the analysis should be conducted by finiteness，mobility，active and positive stability.It is found that the discontinuities are the key to rock stability，and the joints simulations and block system construction are the core of the analysis.It is concluded that the stability of rock mass is not only controlled by internal factors like joints but also affected by external conditions like loads，and both of which vary with the time.And the possible development trends are pointed out，which can instruct the development of block theory.

Key words: stability analysis, block theory, discontinuous deformation analysis, numerical manifold method