Numerical Analysis of Impact Dynamics with Meshless Method
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摘要: 应用再生核质点法实现了冲击过程的数值模拟.为解决冲击过程伴随的材料和几何非线性问题,数值分析中采用增量法.针对冲击速度较低的情况,假设冲击过程为小应变,并引入弹塑性增量本构关系,推导出冲击过程的再生核质点法计算控制方程.采用修正配点法,以满足其本质边界条件.数值模拟结果表明,实例中弹体变形分析结果与ANSYS有限元分析结果一致.Abstract: Dynamic impact processes was analyzed and simulated with reproducing-kernel particle method (RKPM).To solve the nonlinear problem, such as material nonlinearity and geometrical nonlinearity, incremental method was used.For a impact process with a normal impact velocity, the control equation for RKPM was deduced based on a small strain and incremental elasto-plastic constitutive law.The modified collocation method was applied to satisfy the essential boundary conditions.The simulation results of an impact process with RKPM show that the deformation velocity of a solid bullet obtained with RKPM is consistent with that calculated with ANSYS.
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Key words:
- meshless method /
- reproducing kernel particle method /
- FEM /
- impact dynamics
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