本文把均匀化理论与有限元法相结合,应用于多孔材料的弹性本构数值模拟,利用位移渐进展开建立了均匀化有限元列式.通过对正方形孔洞蜂窝材料有效模量的计算比较,表明本文方法可得到较准确的有效模量;同时还考察了胞壁固体相的力学性能参数vs对宏观力学性能的影响,得到了与一些理论公式相同的结论.最后,本文对胞壁中含有弹性增强相的多孔材料的力学性能进行了数值研究,并利用二次均匀化方法给出定量的计算结果.
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