Bezier曲线优化Voronoi泡沫铝几何模型研究  

Study on Optimization of Voronoi Foam Aluminum Geometric Model Based on Bezier Curve

作　　者：庄蔚敏[1] 孙健[1] 解东旋 ZHUANG Weimin;SUN Jian;XIE Dongxuan(State Key Laboratory of Automotive Simulation and Control,Jilin University,Changchun 130022;FAW-Volkswagen Automotive Co.,Ltd.,Changchun 130011)

机构地区：[1]吉林大学汽车仿真与控制国家重点实验室,长春130022 [2]一汽大众汽车有限公司,长春130011

出　　处：《机械工程学报》2022年第4期41-47,共7页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51775227);吉林省自然科学基金(20210101054JC)资助项目。

摘　　要：闭孔泡沫铝材料因其轻质、比强度和比刚度高、抗冲击和吸能特性好等优点在汽车制造等领域应用广泛。然而,目前用于仿真计算的泡沫铝材料几何建模研究仍有不足,广泛使用的Voronoi模型无法模拟真实泡沫铝材料内部圆弧状的胞孔结构。在传统Voronoi模型基础上,建立具有周期性边界的二维Bezier曲线优化模型。通过引入填充度概念,并建立孔隙率关于填充度的一元幂函数方程,可以生成71%~93%指定孔隙率二维泡沫铝几何优化模型,能够还原真实泡沫铝内部结构。利用优化模型进行泡沫铝材料单轴压缩仿真计算,结果相较于传统Voronoi模型更接近试验值。分析优化模型仿真计算过程中随机剪切带的演化,从细观变形角度验证了优化模型的准确性。Bezier曲线优化模型的开发为泡沫铝材料高仿真几何建模研究提供了理论基础。Closed-cell aluminum foam has been widely used in automobile industry because of its advantages such as light weight,strong specific strength and specific stiffness, good impact resistance and energy absorption. However, the geometric modeling of aluminum foam for simulation calculation is still insufficient. The widely used Voronoi model cannot simulate the circular cell structure inside the aluminum foam. Based on the traditional Voronoi model, a two-dimensional Bezier curve optimized model with periodic boundary is established. By introducing the concept of filling degree, the unitary power function of porosity with respect to filling degree is established. A two-dimensional aluminum foam geometrical optimized model with specified porosity of 71%~93%can be generated. The optimized model can simulate the real internal structure of aluminum foam. The uniaxial compression simulation experiment of aluminum foam is carried out. Compared with the traditional Voronoi model, the optimized model has better consistency with the experiment. The evolution of random shear bands in the simulation of the optimized model is analyzed, and the accuracy of the optimized model is verified from the perspective of mesoscopic deformation. The proposal of the Bezier curve optimized model provides a theoretical basis for the study of highly simulative geometric modeling of aluminum foam.

关 键 词：泡沫铝 孔隙率 BEZIER曲线 填充度 细观变形 

分 类 号：U465[一般工业技术—材料科学与工程]