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Numerical and experimental analysis of diffusioninduced aging in engineering solid mixture components

工程固体混合物组分扩散诱导老化的数值和实验分析

基本信息

批准号：
240913886
负责人：
Professorin Dr.-Ing. Kerstin Weinberg
金额：
--
依托单位：
Department Maschinenbau
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2013
资助国家：
德国
起止时间：
2012-12-31 至 2015-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/240913886?language=en
关键词：
Numerical experimental analysis diffusioninduced aging

项目摘要

The overall goal of the advised research project is to provide a simulation tool for studying and analysing diffusion controlled aging in realistic multicomponent structures. In order to simulate the microstructural evolution an extended Cahn-Hilliard phase-field model will be employed. The spatial approximation of the fourth-order differential equations in its weak form is based on spline functions, i.e., in the sense of isogeometric analysis we employ non-uniform rational B-splines as finite element basis functions. The major difference to existing numerical tools will be the ability of the approach to account for a realistic geometries, material compositions and loading regimes of engineering solid mixture components. Additionally to diffusion induced phase decomposition and coarsening engineering structures are typically subjected to external fields which, in turn, affect diffusion and decomposition. Exemplarily we plan to study brazing solder components. Here, a temperature gradient induced, e.g. by joule heating, together with ion migration due to current flow lead to electro-thermal diffusion. For numerical simulation of such problems a phase-field model subjected to multi-field loading needs to be solved. This requires the development of an advanced spatial and temporal discretization strategy, in particular, stabilized finite element schemes, and both, the constitutive relation as well as the numerical solution scheme have to be adapted to the coupled problem. In order to verify the numerical results experimental investigations on brazing solder are planned. In particular, temperature loading and electro-thermal diffusion induced by currency flow and joule heating will be studied experimentally and compared to simulation results.

建议研究项目的总体目标是提供一种模拟工具，用于研究和分析现实多组分结构中的扩散控制老化。为了模拟微观结构的演变，将采用扩展的 Cahn-Hilliard 相场模型。弱形式的四阶微分方程的空间近似基于样条函数，即，在等几何分析的意义上，我们采用非均匀有理 B 样条作为有限元基函数。与现有数值工具的主要区别在于该方法能够考虑工程固体混合物成分的实际几何形状、材料成分和加载方式。除了扩散引起的相分解和粗化之外，工程结构通常还会受到外部场的影响，而外部场又会影响扩散和分解。例如，我们计划研究钎焊焊料成分。这里，引起温度梯度，例如通过焦耳热以及电流引起的离子迁移导致电热扩散。为了对此类问题进行数值模拟，需要求解承受多场载荷的相场模型。这需要开发先进的空间和时间离散化策略，特别是稳定的有限元方案，并且本构关系和数值求解方案都必须适应耦合问题。为了验证数值结果，计划对钎料进行实验研究。特别是，将通过实验研究由电流流动和焦耳热引起的温度负载和电热扩散，并与模拟结果进行比较。