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

通过均质化建模优化生物形态多孔碳化硅陶瓷的微结构

• 批准号: 5276370
• 负责人: Professor Dr. Ronald H.W. Hoppe
• 金额: --
• 依托单位: Lehrstuhl für Angewandte Analysis mit Schwerpunkt Numerische Mathematik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2000
• 资助国家: 德国
• 起止时间: 1999-12-31 至 2006-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5276370?language=en
• 关键词: Structural; Optimization; Biomorphic; Cellular; Silicon

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.

微结构材料的宏观机械行为很大程度上取决于微结构的形状和拓扑，因此必须考虑到最佳结构设计。一类新型材料，即生物形态陶瓷，具有广泛的应用前景，最近引起了广泛的关注。这些陶瓷是通过生物模板技术由生物有机物质生产的，涉及高温热解以及与渗透物质的反应。该项目旨在开发有效的工具，用于基于均质化模型优化此类生物形态微孔陶瓷的机械性能。这导致均质化模型的非线性优化问题，在离散状态下，将通过原始双阻尼牛顿型内点方法来求解。对于现实的建模、模拟和优化，必须进行实验研究，以提供模型参数并促进模型验证。