中文摘要：

颗粒破碎的特征表明,颗粒破碎具有分形特征,是影响粒状材料变形与强度的主要因素,根据颗粒破碎的分形模型可以建立粒状材料的变形与强度理论.假定粒状材料是均匀的D维分形体,由此导出粒状材料的抗张强度公式,并用来估算颗粒在给定压力下的破碎几率.颗粒破碎增加了单位体积颗粒的表面积,即颗粒的比表面能量增加,根据颗粒破碎过程中的能量守恒导出粒状材料一维压缩变形的表达式.

英文摘要：

Tensile strength and deformation theory of granular materials are derived from the fractal characteristics of particle failure. The tensile strength formulas of granular materials are derived under the assumption that granular materials are D-dimension fractal bodies. The surface area and surface energy increase as the occurrence of particle failure; thus, one-dimensional deformation expression of granular materials is obtained from the conservation of energy.