Structural Optimization of Biomorphic Cellular Silicon Carbide Ceramics with Microstructures by Homogenization Modeling

微观结构材料的宏观力学行为在很大程度上取决于微观结构的形状和拓扑结构，因此在优化结构设计时必须考虑到这一点。生物形态陶瓷是一类具有广泛应用前景的新型材料，近年来引起了人们的广泛关注。这些陶瓷是由生物有机物质通过高温热解和渗透物质反应的生物模板技术生产的。本项目旨在开发基于均质化建模的生物形态微细胞陶瓷力学性能优化的有效工具。这导致了均匀化模型的非线性优化问题，在离散状态下，将用原始-对偶阻尼牛顿型内点方法来解决。为了实现真实的建模、仿真和优化，必须进行实验研究，以提供模型参数并促进模型验证。

The macroscopic mechanical behavior of microstructured materials strongly depends on the shape and topology of the microstructure which thus has to be taken into account for an optimal structural design. A new class of materials, namely biomorphic ceramics, with a broad spectrum of applications has recently attracted a lot of attention. These ceramics are produced from bioorganic substances by biotemplating techniques involving high-temperature pyrolysis and reaction with infiltrated substances. This project aims to develop efficient tools for the optimization of mechanical performances of such biomorphic microcellular ceramics based on homogenization modeling. This leads to a nonlinear optimization problem for the homogenized model which, in the discrete regime, will be solved by primal-dual damped Newton-type interior-point methods. For a realistic modeling, simulation and optimization, experimental investigations have to be carried out in order to provide model parameters and to facilitate model validations.