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

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.
建议的研究项目的总体目标是提供一个模拟工具,用于研究和分析扩散控制老化在现实的多组分结构。为了模拟微观结构的演变,一个扩展的Cahn-Hilliard相场模型将被采用。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下,我们采用非均匀有理B样条作为有限元基函数。现有的数值工具的主要区别将是该方法的能力,以占一个现实的几何形状,材料成分和加载制度的工程固体混合物成分。除了扩散引起的相分解和粗化之外,工程结构通常经受外部场,这反过来又影响扩散和分解。例如,我们计划研究钎焊焊料组件。在此,例如通过焦耳加热引起的温度梯度与由于电流流动引起的离子迁移一起导致电热扩散。对于这类问题的数值模拟,需要求解多场加载下的相场模型。这就需要发展一种先进的空间和时间离散化策略,特别是稳定的有限元方案,以及本构关系和数值求解方案都必须适应耦合问题。为了验证数值计算结果的实验研究钎焊料的计划。特别是,温度加载和电热扩散引起的货币流动和焦耳加热将实验研究和模拟结果进行比较。

项目成果

期刊论文数量(6)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture
Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems
  • DOI:
    10.1007/978-3-319-39022-2
  • 发表时间:
    2016
  • 期刊:
  • 影响因子:
    0
  • 作者:
    K. Weinberg;A. Pandolfi
  • 通讯作者:
    K. Weinberg;A. Pandolfi
Modeling and numerical simulation of crack growth and damage with a phase field approach
  • DOI:
    10.1002/gamm.201610004
  • 发表时间:
    2016-06
  • 期刊:
  • 影响因子:
    0
  • 作者:
    K. Weinberg;T. Dally;S. Schuß;Marek Werner;Carola Bilgen
  • 通讯作者:
    K. Weinberg;T. Dally;S. Schuß;Marek Werner;Carola Bilgen
A high-order finite deformation phase-field approach to fracture
断裂的高阶有限变形相场方法
Isogeometric analysis and hierarchical refinement for higher-order phase-field models
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Professorin Dr.-Ing. Kerstin Weinberg其他文献

Professorin Dr.-Ing. Kerstin Weinberg的其他文献

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{{ truncateString('Professorin Dr.-Ing. Kerstin Weinberg', 18)}}的其他基金

Multiobjective topology optimization of anode structures for lithium-ion batteries
锂离子电池负极结构的多目标拓扑优化
  • 批准号:
    383779906
  • 财政年份:
    2018
  • 资助金额:
    --
  • 项目类别:
    Research Grants
A stochastic approach to damage evolution in die-cast zinc alloys
压铸锌合金损伤演化的随机方法
  • 批准号:
    312867041
  • 财政年份:
    2016
  • 资助金额:
    --
  • 项目类别:
    Priority Programmes
Investigation of intermetallic compound formation,Kirkendall void nucleation and failure in solder joints
研究金属间化合物的形成、柯肯达尔空洞成核和焊点失效
  • 批准号:
    265705691
  • 财政年份:
    2015
  • 资助金额:
    --
  • 项目类别:
    Research Grants
CISM-Kurs "Adaptive finite elements in Linear and Nonlinear solid and structural mechanics"
CISM 课程“线性和非线性固体与结构力学中的自适应有限元”
  • 批准号:
    5224606
  • 财政年份:
    1999
  • 资助金额:
    --
  • 项目类别:
    Research Grants

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    2011
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