Numerical analysis on crushing stress of sand in constitutive model with particle crushing


1 School of Science and Engineering, Yamaguchi University, Ube 7558611, Japan

2 School for International Development and Cooperation, Hiroshima University, Higashi-Hiroshima 7398529, Japan


Estimation of crushing stress is important to understand the crushing mechanism and shear strength of granular material. One simple constitutive model using the reference crushing stress had been proposed for describing the variation in strength and deformation behavior of sand before and after particle crushing occurrence. The prediction capacity of the constitutive model is examined for representing the variation in mechanical behavior of relative high crushable sand. This study presents the parametric analysis on the reference crushing stress and examines its effect on the mechanical behavior of Cambria sand. Numerical results demonstrate that peak stress ratio increases and contractive behavior becomes less obvious with larger reference crushing stress. The stress ratio and dilatant ratio at failure with variable reference crushing stresses and confining pressures are also demonstrated. Predicted results indicate that reference crushing stress is basically dependent on the inherent feature and type of sand but has some relationship with the ultimate strength of a single particle. The linear relationship between the reference crushing stress and the yield stress decided in one dimensional compression test has been obtained on the logarithmic plot. The reference crushing stress can be applied as one effective strength index for sand in macro viewpoint.