论文标题
随机材料的渐近扩张均质化非本地建模
Non-local modeling with asymptotic expansion homogenization of random materials
论文作者
论文摘要
这项研究的目的是为三维复合材料构建一个非本地同质化模型，并根据随机点过程W在与合适概率空间相关的有限开放集中根据随机点过程W随机嵌入矩阵。这两个阶段都是线性弹性。通过考虑代表包含中心分布的随机参数来重新探讨渐近扩张均匀化（AEH）。然后，通过将变异方法与平均值结合在一起来研究宏观行为。
The aim of this study is to build a non-local homogenized model for three-dimensional composites with inclusions randomly embedded within a matrix according to a stochastic point process w in a bounded open set associated with a suitable probability space). Both phases were linear elastic. Asymptotic expansion homogenization (AEH) was revisited by taking into account the stochastic parameter representing the inclusion centers distribution. The macroscopic behavior was then studied by combining the variational approach with the mean-ergodicity.
