This work focuses on designing materials for elasticity and coupled fluid flow and heat transfer. The macroscale equations for homogenized elasticity and coupled fluid flow and heat transfer are presented. The topology optimization problem is formulated, its implementation detailed, and the design sensitivities of the homogenized coupled fluid flow and heat transfer problem deduced. Using the Method of Moving Asymptotes, bidimensional periodic cells are optimized for homogenized coupled fluid flow and heat transfer with a multi-load formulation, in which weights are assigned to the longitudinal and transverse components. The effect of the weighting parameter is discussed. A bidimensional periodic cell is optimized for longitudinal and transverse stiffness by means of a Multi-Objective Sequential Quadratic Programming method. The Pareto curve is presented, and the implementation details are discussed. The MOSQP is then used to perform multi-objective optimization of tridimensional cells for longitudinal homogenized coupled fluid flow and heat transfer and both components of homogenized transverse stiffness. Solutions are presented and compared for two Péclet numbers, for conductive and convective dominated regimes, respectively. Selected optimized geometries were produced and their thermo-hydraulic behavior was characterized in an experimental setup designed for this study. An experimental setup was assembled and tested in order to characterize the thermo-hydraulic behavior of periodic media subjected to forced convective heat transfer. Five samples were selected from the topology optimization results to be produced through additive manufacturing and subjected to thermo-hydraulic characterization. Each sample was tested for four mass flow rates and four heat fluxes.

这项工作专注于设计用于弹性以及耦合流体流动和热传递的材料。给出了均质弹性以及耦合流体流动和传热的宏观方程。提出了拓扑优化问题，详细介绍了其实现方法，并推导了均质化耦合流体流动和传热问题的设计敏感性。使用移动渐近线的方法，优化了二维周期电池，以利用多载荷配方对均质化的耦合流体流动和传热进行优化，其中将重量分配给纵向和横向分量。讨论了加权参数的作用。二维周期单元通过多目标顺序二次规划方法优化了纵向和横向刚度。给出了帕累托曲线，并讨论了实现细节。然后，将MOSQP用于对三维单元进行多目标优化，以实现纵向均质的耦合流体流动和传热以及均质的横向刚度的两个分量。给出并比较了两个Péclet数的解，分别针对了传导性和对流性主导体制。产生了选定的优化几何形状，并在为该研究设计的实验装置中表征了其热工行为。组装并测试了一个实验装置，以表征经受强制对流换热的周期性介质的热工行为。从拓扑优化结果中选择了五个样本，这些样本将通过增材制造进行生产并进行热工液压表征。测试每个样品的四个质量流量和四个热通量。