聚氨酯泡沫塑料压缩杨氏模量的理论预测

The Theoretical Prediction of Compressive Young's Moduli for Polyurethane Foam Plastics

通过微分法导出了泡沫塑料剪切模量和体积模量所满足的微分方程组，再利用联系泡沫塑料泊松比和孔隙比的Ｋｅｒｎｅｒ－Ｒｕｓｃｈ经验关系及泡沫塑料弹性常数间满足的关系，在基体材料不可压缩的假设下，确定了泡沫塑料的杨氏模量。本文针对几种密度的泡沫塑料，分别对它们的杨氏模量进行了理论预测和实验测定，结果表明：理论预测的模量在较高密度下与实验符合的很好，在低密度下也给出相当好的近似值。此外，本文的结果同其他理论进行了对比。

The paper derived the differential equations about shear and bulk moduli of foam plastics by differential scheme. The Young's moduli of foam plastics are then determined by using the relation between elastic constants and the Kerner-Rusch's empirical relation for relating Poisson's ratio of foam plastics to its volume fraction of solid material which is taken to be incompressible. The Young's moduli are thus predicted for foam plastics of different densities. The experimental measurements are also presented. The results show that the theoretical predicted moduli agree well with the experimental ones for foam plastics of higher densities and give a good approximation for those of lower densities.Finally, the results are compared with those obtained from other models.