Abstract An efficient micromechanical methodology is developed for tailoring elastic and thermal properties of random heterogeneous materials. The methodology involves three steps: (i) statistical reconstruction based on the two-point correlation function (TPCF), (ii) thermomechanical homogenization, and (iii) optimization. The method relies on the tailoring the state of anisotropy of the microstructure to achieve desired directional effective properties. This capability is demonstrated by designing heterogeneous microstructures with optimal elastic modulus and thermal conductivity in perpendicular directions. The study aims at presenting optimal computational algorithms for the reconstruction, homogenization and optimization steps. Several studies study are presented to demonstrate the feasibility of obtaining desired thermomechanical properties with a minimal set of design variables. These case studies highlight the advantages and limitations of the method, along with its computational cost. Graphic abstract

中文翻译：

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随机异质材料优化微观结构设计的框架

摘要 开发了一种有效的微机械方法来定制随机异质材料的弹性和热性能。该方法包括三个步骤：(i) 基于两点相关函数 (TPCF) 的统计重建，(ii) 热机械均匀化，以及 (iii) 优化。该方法依赖于调整微观结构的各向异性状态以实现所需的定向有效特性。这种能力通过设计在垂直方向具有最佳弹性模量和热导率的异质微结构来证明。该研究旨在提出用于重建、均质化和优化步骤的最佳计算算法。提出了几项研究，以证明用最少的设计变量集获得所需的热机械性能的可行性。这些案例研究突出了该方法的优点和局限性，以及其计算成本。图形摘要