Sharma Varun, Grujovic Nenad, Zivic Fatima, Slavkovic Vukasin
Faculty of Engineering, University of Kragujevac, 34000 Kragujevac, Serbia.
Materials (Basel). 2019 Mar 29;12(7):1041. doi: 10.3390/ma12071041.
We have studied an application of the Voronoi tessellation method in the modeling of open-cell aluminium foam under uniaxial compressive loading. The Voronoi code was merged with computer-aided design (CAD) for converting the polyhedral model into an irregular open-cell cellular structure to create porous samples for compression testing simulations. Numerical simulations of the uniaxial compression uniformly over the upper surface of the sample in the -axis direction at a constant 20 N load was realised. Samples with three different porosities (30%, 60% and 80%) were studied. A nonlinear elasto-plastic material model with perfect plasticity, without hardening, based on the von Mises yield criterion was applied below 10% strain. Corresponding stress⁻strain curves were observed and the influence of porosity on deformation mechanism was discussed. Samples with higher porosity exhibited significantly higher normal stress under the same load, and increased stress plateaus. An increase of porosity produced an increase of both compressive and tensile stresses and struts exhibited complex stress fields. Voronoi-based modeling was in accordance with experimental results in the literature in the case of the quasi-static condition and linear elastic region (below 1% strain). Further study is necessary to enable the simulation of real dynamic behaviour under all deformation regimes by using the Voronoi tessellation method.
我们研究了Voronoi镶嵌方法在单轴压缩载荷下开孔泡沫铝建模中的应用。将Voronoi代码与计算机辅助设计(CAD)相结合,将多面体模型转换为不规则的开孔多孔结构,以创建用于压缩测试模拟的多孔样品。实现了在20 N恒定载荷下,沿样品上表面在x轴方向上均匀进行单轴压缩的数值模拟。研究了具有三种不同孔隙率(30%、60%和80%)的样品。在应变低于10%时,应用了基于von Mises屈服准则的具有理想塑性且无硬化的非线性弹塑性材料模型。观察了相应的应力-应变曲线,并讨论了孔隙率对变形机制的影响。在相同载荷下,孔隙率较高的样品表现出明显更高的法向应力,且应力平台增加。孔隙率的增加导致压缩应力和拉伸应力均增加,支柱呈现复杂的应力场。在准静态条件和线性弹性区域(应变低于1%)的情况下,基于Voronoi的建模与文献中的实验结果一致。有必要进行进一步研究,以通过使用Voronoi镶嵌方法在所有变形状态下模拟实际动态行为。