Application of Discrete Element Method in Impact Problems
Application of Discrete Element Method in Impact Problems
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DOI：
10.1299/jsmea.47.138
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发表时间：
2004-04
期刊：
影响因子：
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通讯作者：
Kaishin Liu;Lin Gao;S. Tanimura
中科院分区：
文献类型：
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作者：
Kaishin Liu;Lin Gao;S. Tanimura
本文提出了一种基于离散元方法的新数值算法来分析冲击载荷下的动态问题。基于连续介质力学的基本原理，利用圆盘单元推导了正交各向异性介质的连通模型。它还扩展到用于计算金属塑性变形的双线性硬化弹塑性模型。此外，采用Mohr-Coulomb型失效判据来判断混凝土的失效，算法中加入了接触离散模型。因此该算法不仅可以计算连续介质和非连续介质的冲击问题，还可以计算从连续介质到非连续介质的瞬态过程。对冲击载荷下正交各向异性平面中的波传播进行了数值模拟。通过与其他数值方法计算结果的比较以及数值解的稳定性检验，讨论了算法的准确性和效率。此外，还模拟了钢弹头侵彻混凝土圆盘耙的瞬态响应，总结了不同弹头侵彻速度下混凝土圆盘耙的三种基本损伤形式。
In this paper, a new numerical algorithm based on the discrete element method is presented for analyzing the dynamic problems under impact loading. Based on the basic principle of continuum mechanics, a connective model for orthotropic media is derived using disk elements. It is also extended to a bilinear hardening elastic-plastic model for calculating the plastic deformation in metals. Moreover, Mohr-Coulomb type failure criterion is used to judge the failure of concrete, and a contact discrete model is added in the algorithm. So the algorithm can calculate not only the impact problems of continuum and non-continuum, but also the transient process from continuum to non-continuum. The wave propagation in orthotropic planes under impact loading is numerically simulated. Through comparing the results with those computed by other numerical methods and examining the stability of the numerical solution, the accuracy and efficiency of the algorithm are discussed. In addition, the transient respondences of a steel warhead penetrating a concrete disc harrow is simulated, and three kinds of basic damage forms of concrete disc harrow under different penetration velocities of warhead are summarized.