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针对传统塑性位势理论因采用连续性、均匀性与各向同性等基本假定导致其应用于岩土材料导致的局限性,根据砂土细观物理特性可以用宏观组构张量来描述的特点,统一考虑各向同性与各向异性,把应变分配法则和材料特性联系起来,建立了岩土材料特性相关的塑性位势理论。该理论塑性应变增量的分量方向和应力分量方向相同,但是塑性应变增量的大小与3个因素相关,即塑性因子、组构各向异性程度和组构与主应力方向的几何关系。建立的位势理论不但可以描述岩土材料在主应力轴固定条件下应变增量的各向异性分配关系,而且可以描述主应力旋转条件下应变增量的大小和方向变化规律。采用能量转换关系证明了塑性应变增量的大小的变化规律,与现有的非共轴塑性理论相比,建立的位势理论应用范围更广、物理意义更清晰。
According to the traditional assumption of plastic potential, continuity, uniformity and isotropy and other basic assumptions led to its application to geomaterials caused by the limitations, according to the physical characteristics of sand can be used to describe the characteristics of the macro-structure tensor , Considering the isotropy and anisotropy uniformly, the strain distribution law and the material property are linked together to establish the plastic potential theory related to the geomaterial property. However, the magnitude of plastic strain increment is related to three factors, namely, the plasticity factor, the degree of anisotropy of the structure and the geometrical relationship between the direction of the principal stress and the structure of the plastic strain increment. The established geopotential theory can not only describe the anisotropic distribution of strain increment of geomaterials under the condition of principal stress axis, but also describe the variation of strain increment and direction under the condition of principal stress rotation. The energy transformation relationship is used to prove the variation of the plastic strain increment. Compared with the existing non-coaxial plasticity theory, the established potential theory has a wider range of applications and a clearer physical meaning.