基于图型动力学的滑面演化过程研究

滑坡一般发生在众多不连续面中强度效应最弱的主滑面上。滑面的演化是一类具有时空变化的广延耗散动力学复杂系统,与外界环境存在着物质、能量和信息的交换。滑面在演化过程中是一种远离平衡态的自组织临界现象,自组织临界性是滑面贯通过程的动力学吸引子。运用图型动力学模型从图型演化角度分析了滑面损伤破坏方式的多米诺效应和损伤破坏的链式反应过程。以确定性的、不可逆的、非线性、非局域和没有特征尺度的动力学规则描述损伤单元之间的一种自动放大的非局域相互作用的连接过程,引入分布函数φ(p)和ξ(p)刻画断裂态吸引域在相空间的分布。最后,探讨了不同损伤率下,滑面破坏的可能模式。

Researches on evolution of sliding surface with pattern dynamics

Landslides generally occur on the main slide surface with the lowest strength among the discontinuities.Evaluation of sliding surface is considered as an extensively dissipative dynamic complex system varying in time and space and there are mass and energy exchanges between the sliding surface and the external environment.In the process of evolution,sliding surface represents a self-organized criticality(SOC) phenomenon far away from the equilibrium state.SOC is the dynamic attractor in the process of slide surface penetrating.With the help of pattern dynamic model,the “domino-effect” and the “chain reaction” process of slide surface failure were analyzed.A kind of auto-amplifying interacting link process among damage units was described with deterministic,irreversible,nonlinear,and non-local dynamic rules without characteristic scale.Distribution functions φ(p) and ξ(p) were introduced to describe the distributions of fracture attractive domain in phase space.Finally,the potential destructive patterns of sliding surfaces with different damage ratio were discussed.