Mechanical Model of Particulate Material Based on Markov Process

基于马尔可夫过程的颗粒材料力学模型，应用于颗粒材料（如桑迪）的剪切变形、压缩、渗流、固结和流动。可以看出，马尔可夫模型能够很好地反映上述力学行为，并将其应用于不排水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。然后，通过数值试验结果与土工试验结果的对比，验证了该模型能够较好地反映颗粒材料的力学特性。将该模型的数值试验结果与渗透性试验和pF试验结果进行了比较，结果表明，该模型能够较好地反映渗透系数与孔隙比的关系，但不能很好地描述颗粒物料的水分特性曲线，文中给出了该模型在颗粒物料流动中的应用步骤，并进行了数值试验得出结论：颗粒材料的力学体系可以建立在马尔可夫模型的基础上，但仍需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.