Time reversibility of the discrete element method
Time reversibility of the discrete element method
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DOI：
10.1002/nme.6496
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发表时间：
2020-07
影响因子：
2.9
通讯作者：
K. Hanley
中科院分区：
文献类型：
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作者：
K. Hanley
提出了一种算法，用于在逆时间框架中对无摩擦球形粒子的能量守恒系统进行离散元方法模拟。该算法在舍入误差范围内通过在LAMMPS代码中实现进行了验证。能量耗散的机制，如颗粒间摩擦，阻尼，旋转阻力，颗粒破碎，或键断裂不能纳入该算法，而不会导致时间不可逆性。这一理论发展被应用于临界状态土力学作为范例。结果表明，收敛的土样，不同的只是在他们的初始孔隙比，到相同的临界状态需要存在的剪切力和摩擦耗散的土壤系统内。
An algorithm is presented for discrete element method simulations of energy‐conserving systems of frictionless, spherical particles in a reversed‐time frame. This algorithm is verified, within the limits of round‐off error, through implementation in the LAMMPS code. Mechanisms for energy dissipation such as interparticle friction, damping, rotational resistance, particle crushing, or bond breakage cannot be incorporated into this algorithm without causing time irreversibility. This theoretical development is applied to critical‐state soil mechanics as an exemplar. It is shown that the convergence of soil samples, which differ only in terms of their initial void ratio, to the same critical state requires the presence of shear forces and frictional dissipation within the soil system.