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Modeling of the Split-Hopkinson-Pressure-Bar experiment with the explicit material point method
Computational Particle Mechanics ( IF 2.8 ) Pub Date : 2021-04-19 , DOI: 10.1007/s40571-021-00399-w
S. F. Maassen , R. Niekamp , J. A. Bergmann , F. Pöhl , J. Schröder , P. Wiederkehr

The material point method (MPM) represents an alternative discretization method for numerical simulations. It aims to combine the benefits of a Lagrangian representation of bodies and an Eulerian numerical solution approach. Therefore, especially at high material deformations the method is not prone to mesh distortions such as the finite element method (FEM). For this reason, the MPM is used to a great extent for modeling granular materials as in geo-mechanics. However, high deformations occur in many industrial processes on metallic materials. The Split-Hopkinson-Pressure-Bar (SHPB) experiment is used to characterize material properties at high deformation rates. Although widely used, this experiment is not yet standardized and shows a variety of sensitivities, e.g. to friction. Inter alia for this reason, simulations are conducted with the experiment to allow for a better evaluation of the measured data. The purpose of this work from an engineering point of view is to analyze the performance of the MPM on an SHPB experiment. In order to validate the experimental results for the material characterization under dynamic loading conditions we introduce frictional contact. We use arbitrary tri-linear brick domains in a 3D CPDI1 scheme, instead of originally used parallelepipeds. This allows for a more flexible geometry approximation using standard meshes. The results of the method are analyzed with respect to discretization sensitivity and discussed in the context of the experimental results for a 42CrMo4 steel. We were able to show that the method is capable to reproduce the SHPB experiment. Additionally the method shows convergency in the results with finer discretizations. Thus, the MPM has underlined its importance as an alternative simulation technique for problems with high deformation.



中文翻译:

显式材料点法对Split-Hopkinson-Pressure-Bar实验进行建模

质点法(MPM)表示数值模拟的另一种离散化方法。它的目的是结合拉格朗日体表示法和欧拉数值解法的优势。因此,特别是在高材料变形的情况下,该方法不容易发生诸如有限元方法(FEM)之类的网格变形。因此,与地质力学一样,MPM在很大程度上用于对颗粒材料进行建模。但是,在金属材料的许多工业过程中会发生高变形。分裂霍普金森压力杆(SHPB)实验用于表征高变形速率下的材料特性。尽管已被广泛使用,但该实验尚未标准化,并且显示出多种敏感性,例如对摩擦的敏感性。除其他原因外,在实验中进行了模拟,以更好地评估测量数据。从工程的角度来看,这项工作的目的是分析SHPB实验中MPM的性能。为了验证在动态载荷条件下材料表征的实验结果,我们引入了摩擦接触。我们在3D CPDI1方案中使用任意三线性砖畴,而不是最初使用的平行六面体。这允许使用标准网格进行更灵活的几何近似。该方法的结果针对离散敏感性进行了分析,并在42CrMo4钢的实验结果中进行了讨论。我们能够证明该方法能够重现SHPB实验。另外,该方法在结果上具有收敛性,并且离散化效果更好。因此,MPM强调了其作为高变形问题的替代仿真技术的重要性。

更新日期:2021-04-20
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