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通过将规则Kelvin模型沿某一方向伸长,而保持与其垂直方向的原有尺寸不变,得到了结构各向异性的胞体模型;然后,利用其在整个空间具有的周期性和对称性得到了简化后的周期性结构单元,并类似于已有文献中的做法,采用半支柱求解单元和弹性挠曲理论来分析其力学行为,获得了沿胞体伸长以及垂直于胞体伸长两个不同方向上的应力、应变的理论表达式和相应的压缩应力-应变曲线;并且,利用有限元模拟方法对上述理论预测结果进行了验证.结果表明:在应变不太大时,理论预测与有限元数值模拟结果非常接近,证明了理论分析的有效性;各向异性比对泡沫材料的力学性能影响显著,随着各向异性比的增加,在相同应变下,压缩应力在胞体伸长方向得到提高,而在垂直于胞体伸长方向则表现为下降.
By elongating the regular Kelvin model in a certain direction while maintaining its original dimension perpendicular to it, an anisotropic cell model is obtained. Then, using its periodicity and symmetry in the whole space, After simplification of the periodic structural unit, and similar to the practice in the literature, using the semi-strut solution unit and the elastic deflection theory to analyze the mechanical behavior, obtained along the cell body elongation and perpendicular to the cell body elongation in two different directions The theoretical stress and strain and the corresponding compressive stress-strain curve are also validated.The theoretical predictions are verified by finite element method.The results show that when the strain is not too high, the theoretical predictions and finite element analysis The simulation results are very close, which proves the validity of the theoretical analysis. The anisotropic ratio has a significant effect on the mechanical properties of the foam. With the increase of the anisotropy ratio, the compressive stress is increased in the elongation direction of the cell body under the same strain, While in the direction perpendicular to the elongation of the cell body, it shows a decrease.