Effects of microstructure on uniaxial strength asymmetry of open-cell foams

• Published in: Applied mathematics and mechanics 2015-01, Vol.36 (1), p.37-46
• Main Authors: Lu, Zi-xing, Huang, Ji-xiang, Yuan, Ze-shuai
• Format: Article
• Language: English
• Subjects: Applications of Mathematics; Asymmetry; Classical Mechanics; Density; Elongation; Fluid- and Aerodynamics; Foams; Kelvin模型; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Microstructure; Partial Differential Equations; Strength; Tensile strength; 不对称; 单轴; 压缩强度; 固体材料; 开孔泡沫; 微观结构; 细胞形态
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-015-1893-9

Based on the elongated Kelvin model, the effect of microstructure on the uniaxial strength asymmetry of open-cell foams is investigated. The results indicate that this asymmetry depends on the relative density, the solid material, the cell morphology, and the strut geometry of open-cell foams. Even though the solid material has the same tensile and compressive strength, the tensile and compressive strength of open-cell foams with asymmetrical sectional struts are still different. In addition, with the increasing degree of anisotropy, the uniaxial strength as well as the strength asymmetry increases in the rise direction but reduces in the transverse direction. Moreover, the plastic collapse ratio between two directions is verified to depend mainly on the cell morphology. The predicted results are compared with Gibson and Ashby＇s theoretical results as well as the experimental data reported in the literature, which validates that the elongated Kelvin model is accurate in explaining the strength asymmetry presented in realistic open-cell foams.