Mechanical Model of Particulate Material Based on Markov Process

将基于马尔可夫过程的颗粒材料力学模型应用于砂土等颗粒材料的剪切变形、压缩、渗流、固结和流动。很明显，被称为马尔可夫模型的模型可以遵循上述力学行为。该模型适用于不排水条件下高围压条件下的剪切变形行为。该模型也适用于各向同性压缩和ko压缩。将数值试验结果与土工试验结果进行比较，表明该模型能较好地反映颗粒材料的力学行为。为了将马尔可夫模型应用于渗流行为，对颗粒材料中的空隙进行了建模。将该模型的数值试验结果与渗透性试验和孔隙率试验结果进行比较，表明该模型能较好地表达渗透系数与孔隙率的关系，但不能较好地表达颗粒材料的水分特性曲线。给出了将该模型应用于颗粒物料流动的过程，并进行了数值实验。结果表明，基于马尔可夫模型可以建立颗粒材料的力学体系，但还需要进一步的理论和实验研究来完善和修正。

A mechanical model of particulate material based on the Markov process is applied to the shear deformation, the compression, the seepage, the consolidation and the flow of particulate material such as sandy soil. It is clear that the model which is called the Markov model can follow the mechanical behaviors mentioned above.The model is applied to the shear deformation behavior under the undrained condition and high confining pressure. The model is also applied to the isotropic compression and the Ko-compression. Then, comparing the numerical test results with the soil test one, the model can follow the mechanical behaviors of particulate material.Modelling of voids in the particulate material is done in order to apply the Markov model to the seepage behavior. Comparing the numerical test result by the model with the one obtained by the permeability test and pF test, it is clear that the model can express the relation between the coefficient of permeability and the void ratio, but cannot satisfactorily express the moisture characteristic curve of particulate material.The procedure for the application of the model to the flow of particulate material is shown and the numerical experiment is also carried out.It is concluded that the system of the mechanics for the particulate material can be established based on the Markov model although the more improvement and revise must be done by the theoretical and the experimental investigations.