A MECHANICAL AND STATISTICAL MODEL OF GRANULAR MATERIAL

[出版社版]rights: 社団法人地盤工学会 rights: 本文データは学協会の許諾に基づきCiNiiから複製したものである relation: IsVersionOf: http://ci.nii.ac.jp/naid/110003913256/On the confirmed knowledges in regard to the fabric characters of granular material and their reconstructions during the compressional deformation, its mechanical and statistical model is proposed. The mean value of force acting on a contact is determined as a function of the state of principal stresses and the inclination angles of the normal to the principal stress axes. The relation between the mobilized principal stress ratio and the fabric index of granular material is determined by the consideration on the static equilibrium of forces at the contact. The probability of sliding at a contact can be calculated by considering that the forces at the contact are random variables having their mean values and standard deviations. The rates of strain in the principal directions are theoretically obtained in terms of the frequency and intensity of sliding and the fabric characters, and then the relations between the fabric character, the dilatancy index and the mobilized stress ratio are proposed. The relation between the void ratio and the distribution character of the normal which must be satisfied at the peak stress state is also discussed. The theoretical equations accord well with the experimental results by means of the microscope and thin section method