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中文摘要：
岩体具有复杂构造层次,这种情况使得在连续介质力学中所使用的基本体元的概念以及圣维南变形协调条件受到了质疑.变形的非协调意味着外部度量与内部度量的不重合,介质的欧氏空间结构被破坏.文章利用微分几何的正交标架法描述了具有非协调变形的介质的内部结构变化情况,并进一步借助于不可逆热力学理论能够建立了闭合的介质的非欧几何模型,在这一过程中使用的几何参量物理意义明确.非欧模型显著地拓展了传统的弹塑性模型描述能力,对于研究具有复杂内部结构的介质的受力变形具有重要的理论意义.
英文摘要：
Rock mass has complex internal structural hierarchy, this situation makes the concept of elementary volume and the Saint-Venant＇s condition of compatible deformation used in continuum mechanics problematic. The incompatibility of the deformation means the non-coincidence of the internal and the external metrics and the breaking of the Euclidean structure of the space. With the help of ormethod of differential geometry this paper described the internal structural change of material which suffers incompatible deformation, and then with the use of irreversible thermodynamics built the closed non-Euclidean model. In this method the used geometric parameters have clear physical meaning. Non-Euclidean model remarkably expands the traditional elastico-plastical models, and has significant theoretical meaning for the study of the stress and deformation of materials having complex internal structural hierarchy.
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