Models for Phase Transition with Thermo-Mechanical Interaction

热机械相互作用相变模型

• 批准号: 5415853
• 负责人: Professor Dr. Jürgen Sprekels
• 金额: --
• 依托单位: Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2004
• 资助国家: 德国
• 起止时间: 2003-12-31 至 2006-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5415853?language=en
• 关键词: Models; Phase; Transition; Thermo; Mechanical

In this proposal we ask for funding of a fundamental research project involving applied mathematics, computational mechanical engineering, and materials science. We will develop and investigate both mathematically and experimentally new classes of phase-field systems modeling phase transition phenomena in metallic alloys. As a reference problem we will study the phase separation and coarsening phenomena occuring in lead-containing as well as in lead-free solders, which in form of tiny spheres are used as electric joints in microelectric components. These processes, which eventually result in the degradation of the thermo-mechanical properties of the solder and in a reduction of its joining capability, are accelerated by the presence of microscopic thermo-mechanical stresses which reinforce the heterogeneous evolution of the micro-morphology within the material. ...

在本提案中，我们请求资助一项涉及应用数学、计算机械工程和材料科学的基础研究项目。我们将在数学和实验上开发和研究新型相场系统，模拟金属合金中的相变现象。作为参考问题，我们将研究含铅和无铅焊料中发生的相分离和粗化现象，这些焊料以微小球体的形式用作微电子元件中的电接头。这些过程最终导致焊料的热机械性能下降并降低其连接能力，而微观热机械应力的存在会加速这些过程，从而强化材料内微观形态的异质演化。 ...