搜索

x
中国物理学会期刊

循环剪切诱导的颗粒体系结晶

Cyclic-Shear-Induced Crystallization in Granular Materials

PDF
导出引用
  • 致密硬球堆积是研究无热颗粒体系无序到有序转变的重要模型,但摩擦颗粒在剪切驱动下的结晶起始位置与统计描述仍缺乏直接实验检验。本文对约一万个直径约6毫米的光滑ABS塑料球施加准静态循环剪切,并在不同循环剪切阶段进行X射线断层扫描技术重构三维构型。并基于Voronoi划分获得体积分数与局域体积统计,结合键取向序参量与晶态键判据识别局域有序性。结果表明,体系体积分数缓慢致密化并在约0.70附近达到稳态;当体积分数接近随机密堆积附近时,序参量演化出现明显拐折,并伴随晶态团簇快速增长,随后晶体分数趋于饱和。同时,在Edwards体积系综框架下,由Voronoi体积涨落积分得到可压缩率(compactivity),并计算Edwards熵与类自由能密度,发现无序分支与晶态分支在临界体积分数附近分支分离与相平衡特征。上述结果为剪切诱导结晶的结构演化及其统计力学描述提供了实验依据。

    Dense hard-sphere packings offer a minimal yet powerful platform for exploring disorder to order transitions in athermal materials. Despite extensive progress in colloids and simulations, the microscopic route by which frictional granular assemblies crystallize under cyclic shear and whether such evolution can be captured within an Edwards statistical framework remains insufficiently constrained by experiments. In this work, quasi-static cyclic simple shear is imposed on a three-dimensional packing of 1×104 smooth ABS spheres (diameter ≈ 6 mm) confined in a cubic shear cell. At prescribed cycle numbers, the system is brought back to the zero-strain configuration and scanned using X-ray computed tomography, enabling particle-resolved reconstruction of positions and subsequent statistical analysis in the bulk region away from boundaries. Global packing fraction is determined from Voronoi tessellation, while local structural ordering is quantified via bond-orientational order metrics computed from the twelve nearest neighbors, complemented by a crystal-bond classification that identifies solid-like particles and crystalline clusters.
    The packing fraction increases monotonically from an initially loose state, with the global packing fraction equal to 0.636, and reaches a steady plateau after long cycling, with the steady-state global packing fraction equal to 0.70. A pronounced structural crossover is observed near the random-close-packing regime: bond-orientational indicators exhibit a clear kink, coincident with the onset of rapid nucleation and growth of fcc,hcp-like clusters. With further densification, the crystalline fraction saturates, suggesting a dynamical steady state in which shear-induced ordering competes with geometric frustration and topological constraints that stabilize a residual disordered component. To connect structure to an effective thermodynamic description, we analyze Voronoi-volume fluctuations within the Edwards volume ensemble. The fluctuation-based compactivity is extracted along the disordered and crystalline branches, and the Edwards entropy and an effective free-energy density are evaluated. The resulting curves display a branch separation and provide experimental support for an Edwards-style statistical characterization across a shear-driven disorder–order transition in an athermal granular packing.

    目录

    返回文章
    返回
    Baidu
    map