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材料点法(MPM)应用于散体材料数值模拟时,如采用完全显式接触算法,则不能维持系统机械能守恒,计算稳定性差。该文提出一种高效局部隐式接触算法,仅需求解局部接触方程组。采用这种接触算法的MPM能真实模拟多物体颗粒之间的各种相互作用,包括挤压、摩擦滑移、分离等过程,正确反映接触规律。理论分析和计算结果表明,局部隐式接触算法与完全显式接触算法相比,计算过程数值稳定,计算效率高,系统机械能保持守恒。
Material point method (MPM) applied to the numerical simulation of bulk materials, such as the use of a completely explicit contact algorithm, you can not maintain the system mechanical energy conservation, poor stability of the calculation. In this paper, an efficient local implicit contact algorithm is proposed, which only needs to solve the local contact equations. The MPM with this contact algorithm can simulate the various interactions among multi-object particles, including extrusion, friction and slip, separation and other processes, and accurately reflect the contact law. The theoretical analysis and calculation results show that compared with the explicit explicit contact algorithm, the local implicit contact algorithm has stable numerical value, high computational efficiency and conservation of system mechanical energy.