Study on Probabilistic Property Evaluation for a Homogenized Elastic Property of a Porous Material

在本研究中，采用快速成型技术制造多孔材料，材料中具有良好控制的空隙。在一组实验数据中观察到用快速成型系统制造的多孔材料的随机变化。为了研究微观随机变化对均质弹性性能的影响，提出了一种基于微扰的多孔材料和复合材料等非均质材料随机均质分析的计算方法。数值结果说明了该方法的有效性和存在的问题。

In this research, a rapid prototyping is employed for manufacturing a porous material having well-controlled voids in the material. A random variation in a porous material manufactured with a rapid prototyping system is observed in a set of experimental data. For the purpose of investigate an influence of the microscopic random variation on a homogenized elastic property, a perturbation-based computational methodology for the stochastic homogenization analysis of a porous material and a general heterogeneous material like a composite material is developed. With the numerical results, validity, effectiveness and problems in the proposed approach are illustrated.