Statistically similar representative microstructures in elasto-plasticity

弹塑性统计上相似的代表性微观结构

• 批准号: 35757500
• 负责人: Professor Dr.-Ing. Jörg Schröder
• 金额: --
• 依托单位: Institut für Mechanik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/35757500?language=en
• 关键词: Statistically; similar; representative; microstructures; elasto

Micro-heterogeneous high-tech steels enable ambitious engineering constructions. For the design of such random multi-phase microstructures numerical simulation procedures are important for the reliable prediction of the overall response of macroscopic boundary value problems. Direct homogenization schemes, which are designed for such kind of problems, can only be efficient if the complex random microstructure is approximated by significantly less complex representative volume elements (RVEs) capturing the basic morphological attributes of the microscale. This is the main task in the project, where several statistical measures (spectral-density, lineal-path function, Minkowski valuations, etc.) are applied for the construction of statistically similar RVEs (SSRVEs) A main challenge in this period is the design of three-dimensional SSRVEs based on the Electron- Backscatter Diffraction (EBSD) combined with Focused-Ion-Beam (FIB) measurements. The performance of the direct homogenization approach using the constructed SSRVEs is analyzed for representative macroscopic deep-drawing processes.

微异质高科技钢使雄心勃勃的工程建设成为可能。对于这种随机多相微结构的设计，数值模拟程序对于宏观边值问题的整体响应的可靠预测是重要的。直接均匀化计划，这是专为这类问题，只能是有效的，如果复杂的随机微观结构是近似的显着不太复杂的代表性体积元素（RVE）捕获的微观尺度的基本形态属性。这是该项目的主要任务，其中几个统计测量（谱密度，线性路径函数，Minkowski估值等）。这一时期的主要挑战是基于电子背散射衍射（EBSD）结合聚焦离子束（FIB）测量的三维SSRVE的设计。直接均匀化的方法，使用所构建的SSRVES的性能进行了分析，为代表的宏观拉深工艺。