A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading
A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading
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DOI：
10.1016/j.cma.2011.01.019
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发表时间：
2011-04
影响因子：
7.2
通讯作者：
Yanping Lian;Xiong Zhang;X. Zhou;Z. T. Ma
中科院分区：
文献类型：
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作者：
Yanping Lian;Xiong Zhang;X. Zhou;Z. T. Ma
材料点法（MPM）结合了欧拉法和拉格朗日法的优点，因此能够处理许多具有挑战性的工程问题，例如钢筋混凝土（RC）在爆炸和冲击载荷下的动力响应。然而，由于钢筋的直径与混凝土的尺寸相比非常小，因此用MPM方法对钢筋混凝土中的钢筋进行离散化是非常耗时的。提出了一种混合有限元-材料点法，将传统有限元法中的桁架单元引入到材料点法中对钢筋进行建模。提出的FEMP方法在我们的三维材料点法代码MPM3D®中实现，并通过几个基准问题进行了验证。最后，将该方法应用于钢筋混凝土板被弹丸击穿的动力响应模拟，数值结果与文献报道的实验数据吻合较好。所提出的思想适用于将其他类型的有限元纳入点阵法中，以充分发挥有限元和点阵法的优势。
The material point method (MPM) takes advantages of both the Eulerian and Lagrangian methods, so it is capable of handling many challenging engineering problems, such as the dynamic responses of reinforced concrete (RC) subjected to blast and impact loadings. However, it is time-consuming to discretize the steel reinforcement bars (“rebars”) in RC by using MPM because the diameter of the steel bar is very small compared with the size of concrete. A hybrid finite element–material point (FEMP) method is proposed, in which the truss element in the traditional finite element method (FEM) is incorporated into the MPM to model the rebars. The proposed FEMP method is implemented in our three-dimensional material point method code, MPM3D®, and validated by several benchmark problems. Finally, it is applied to simulate the dynamic response of RC slab penetrated by projectile, and the numerical results are in good agreement with the experimental data reported in the literature. The proposed idea is applicable to incorporate other types of finite elements into MPM to take advantages of both FEM and MPM.