Computational Modeling of Impact Response with the RG Damage Model and the Meshless Local Petrov-Galerkin (MLPG) Approaches
Computational Modeling of Impact Response with the RG Damage Model and the Meshless Local Petrov-Galerkin (MLPG) Approaches
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DOI：
10.3970/cmc.2006.004.043
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发表时间：
2006-08
影响因子：
3.1
通讯作者：
H. Liu;Z. Han;A. Rajendran;S. Atluri
中科院分区：
文献类型：
--
作者：
H. Liu;Z. Han;A. Rajendran;S. Atluri
Rajendran-Grove（RG）陶瓷损伤模型是一种基于内变量的三维陶瓷材料本构模型，考虑了微裂纹扩展和空洞塌陷。本文基于无网格局部Petrov-Galerkin（MLPG）方法，将RG陶瓷模型引入到新开发的计算框架中，求解高速撞击和侵彻问题。研究了RG模型描述内部损伤演化和有效材料响应的能力。给出了几个数值算例，包括杆对杆碰撞、板对板碰撞和弹道侵彻。计算结果与现有的实验，以及流行的有限元代码（Dyna3D）所获得的。用于研究模型描述纯氧化铝（AD 995）在各种应力/应变加载条件下的响应的能力（Ra-jendran和格罗夫，2002）。本文基于无网格局部Petrov-Galerkin（MLPG）方法，将RG陶瓷损伤模型应用到新开发的计算程序中。MLPG方法是一种真正的无网格方法，在局部子域中建立试验和测试函数。由于网格的完全消除，该方法在解决高速接触、冲击和侵彻等材料变形严重的问题时有很好的应用前景。MLPG及其应用的详细描述可以在作者的其他论文中找到。为了比较和验证的目的，RG模型也已实施到三维计算流体动力学程序Dyna3D。用Dyna3D或MLPG方法求解了几个数值算例，并在其中实现了RG陶瓷损伤模型。进行了几种数值模拟：杆-杆碰撞、板-板碰撞以及弹道碰撞和穿透。比较了Dyna3D、MLPG和现有实验的仿真结果。为了完整起见，本文还对RG陶瓷损伤模型作了简要介绍.
TheRajendran-Grove (RG) ceramic damage model is athree-dimensionalinternal variablebased con- stitutive model for ceramic materials, with the consider- ations of micro-crack extension and void collapse. In the presentpaper, the RG ceramic model isimplemented into the newly developed computational framework based on the Meshless Local Petrov-Galerkin (MLPG) method, for solving high-speed impact and penetration problems. Theabilityof theRG model to describetheinternal dam- age evolution and the effective material response is in- vestigated. Several numerical examples are presented, including the rod-on-rod impact, plate-on-plate impact, and ballistic penetration. The computational results are compared with available experiments, as well as those obtained by the popular finite element code (Dyna3D). plemented into EPIC code for investigating the model's abilityto describe the responseof pure alumina (AD995) subjected to various stress/strain loading conditions (Ra- jendran and Grove, 2002). In the present paper, the RG ceramic damage model is implemented into the newly developed computa- tionalcode based on the Meshless Local Petrov-Galerkin (MLPG) method. The MLPG method is a truly mesh- less approach that establishes both the trial and test func- tions in local subdomains. Because of the total elim- ination of the mesh, it is a promising method in solv- ing high-speed contact, impact and penetration problems with severe material-distortion. The detailed description of the MLPG and its applications can be found in the authors' other papers. For comparison and verification purpose, the RG model has also been implemented into thethree-dimensionalcomputationalhydrodynamiccode Dyna3D. Several numerical examples are solved, using either the Dyna3D or the MLPG method, with RG ce- ramic damage model implemented in them. Several nu- merical simulations are conducted: rod-on-rod impact, plate-on-plate impact, and the ballistic impact and pene- tration. The simulation results obtained from Dyna3D, MLPG and available experiments are compared. For completeness purpose, a brief introduction of the RG ce- ramic damage model is included.