岩石单颗粒压缩破碎试验研究

岩石颗粒结构复杂、形态不规则，很难用现有经典理论进行研究，分形理论可以从统计的角度研究颗粒破碎的强度。根据600颗大理岩单颗粒破碎试验，测量单颗粒破碎的应力与竖向应变关系曲线和破碎后的颗粒分布曲线，将颗粒破碎曲线按形态分为三种类型；根据颗粒破碎后的颗粒分布特性，建立了岩石颗粒破碎的分形模型，测得了大理岩颗粒破碎的分维D为2.48；根据颗粒破碎的分形模型，导出颗粒破碎强度的理论公式；将大理岩颗粒破碎强度的试验数据与理论公式预测结果进行比较，两者十分吻合，从而验证了颗粒破碎强度的分形理论。

Single particle crushing of rock in uniaxial compression tests

It is difficult to study particle crushing of rock using the existing classical theory because of the complex and irregular physical structure, but it is changed by fractal theory, which employed statistical concepts to explain the particle crushing strength. In this paper, the stress - strain distribution curve and the crushed particle size distributions is described based on a large number of single marble particle crushing test. Three types of particle crushing damage are summarized, fractal model of rock particles crushing is established by the distribution characteristics of the damaged particles, fractal dimension D of 2.48 is got. According to the fractal model, the theoretical formula of particle crushing strength is derived, the test data of marble particle crushing strength with the theoretical prediction equations are compared, the results are very consistent, and therefore, fractal theory is applicable for analysis of particle crushing strength.