二维无摩擦颗粒体系中阻塞态的压缩过程

Compression of Jammed States of Two-dimensional Frictionless Particles

  • 摘要: 数值模拟无摩擦圆盘形颗粒体系的压缩过程,对单分散、双分散、线性作用、赫兹作用等进行对比.数值模拟表明:单分散体系容易晶格化,其临界填充率φC与临界平均接触数ZC都大于双分散的情形.以临界阻塞态为基准,阻塞态在压缩过程中的平均接触数增量ΔZ以及平均重叠量δ随填充率增量Δφ的变化与模拟条件几乎无关,压强P与Δφ的关系决定于作用力的形式,它们都能用幂律关系进行很好的拟合.

     

    Abstract: Numerical simulation is conducted to investigate two-dimensional frictionless disks under isotropic compression.Results with different simulation conditions are contrasted.It shows that monodisperse system is easier to crystallize.Its critical packing fraction φC and critical mean contact number ZC are larger than bidisperse system.On J point,relations of packing fraction increment Δφ to mean contact number increment ΔZ and average overlap δ are almost irrelevant to simulation conditions.Relation of pressure P and packing fraction increment Δφ is only determined by interaction form.These relationships can be fitted very well by power functions.

     

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