一维随机排列非均质颗粒材料结构刚度系数解析式

针对一维情况下随机排列非均质颗粒材料组成的结构,推导了该结构的刚度系数的解析表达式。颗粒材料由随机算法根据颗粒尺寸分布和结构尺寸生成。通过引入相对破碎参数,将颗粒破碎现象定量体现在颗粒尺寸分布函数的变化上,从而使本文提出的解析表达式能够计及颗粒破碎。数值结果说明本文提出表达式的有效性,并体现了颗粒破碎对颗粒结构刚度系数的影响。

An analytical expression of stiffness coefficient for one-dimensional random heterogeneous granular structure

An analytical expression of stiffness coefficient for one-dimensional structure composed of random heterogeneous granular material is derived.The granular structure is generated by a random sampling algorithm according to grain size probability distribution and sizes of the structure.With the introduction of a relative breakage parameter,grain crushing is quantitatively taken into account by the change in grain size probability distribution function and the relative breakage parameter is then included in the proposed analytical expression.Numerical results demonstrate the validity of the derived analytical expression and exhibit the influence of grain crushing progress on the stiffness coefficient of granular structure.