具有开孔泡沫骨架的双连续相复合材料弹性模量的理论预测

基于具有开孔泡沫骨架的双连续相复合材料(IPC)的细观结构,提出了一种十四面体弹性地基梁力学模型,结合最小势能原理推导了该IPC的弹性模量预测公式。根据文献给出的实验材料参数进行算例分析,结果表明,理论估算结果与实验值吻合良好,证明了该模型的有效性。在此基础上,进一步讨论了不同骨架材料体积含量和支柱截面形状对IPC弹性模量的影响。本文给出的半经验理论模型为表征具有开孔泡沫骨架的IPC的弹性性能提供了新思路,也为进一步预测IPC的强度性能和热物理性能奠定了基础。

Theoretical prediction of elastic modulus of interpenetrating phase composites with open-cell foam skeleton

Based on the microstructure of the interpenetrating phase composites (IPC) with open-cell foam skeleton, a tetrakaidecahedron mechanical model with elastic foundation beam was proposed, and the prediction formula of elastic modulus was deduced using the minimum potential energy principle.The example analysis of experimental material parameters given by the literature was conducted.The results show that the present results agree well with the experimental results, which confirms the validity of this model.The influences of the volume fraction of different skeleton materials and the strut cross-section shape on the elastic modulus of IPC were discussed furthermore.The present semi-empiric theoretical model provides a new way for characterizing the elastic properties of IPC with open-cell foam skeleton commendably and a basis for the prediction of strength and thermo-physical properties of IPC.