Isogeometric Analysis for Multifield Computational Contact Problems

多场计算接触问题的等几何分析

• 批准号: 289415345
• 负责人: Professor Dr.-Ing. Christian Hesch
• 金额: --
• 依托单位: Institut für Mechanik (IFM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/289415345?language=en
• 关键词: Isogeometric; Analysis; Multifield; Computational; Contact

The purpose of this project is to conduct fundamental theoretical and numerical research on novel isogeometric analysis (IGA) technologies in the field of computational mechanics, and to develop algorithms, which will enable the analysis of contact interfaces with high efficiencyand robustness. In particular, fracture mechanical issues along with thermomechanical problems in the context of contact mechanics will be considered and, in a final step, applied to complex machine parts, demonstrating the general applicability of the chosen approach to industrial problems.Higher-order phase-field approaches will be used to deal with brittle and ductile fracture problems. To account for the higher continuity requirements of a fourth order phase-field model, non-uniform rational B-splines with local, hierarchical refinement schemes will be applied. Frictional mortar contact formulations for thermomechanical problems will be extended to phase-field problems.Eventually, this novel and unique framework will be applied to impact simulations as well as to a disc break of a hoisting shaft system. The company SIEMAG TECBERG will provide necessary reference data of the systems under investigations. In summary, highly sophisticated mesh refinement procedures along with newly developed mutlifield and contact formulations will be applied to industrial problems.

本项目的目的是对计算力学领域中新的等几何分析(IGA)技术进行基本的理论和数值研究，并开发算法，使接触界面的分析变得高效和稳健。特别是，断裂力学问题以及接触力学背景下的热力学问题将被考虑，并在最后一步应用于复杂的机械部件，展示所选方法对工业问题的普遍适用性。高阶相场方法将用于处理脆性和延性断裂问题。为了满足四阶相场模型较高的连续性要求，将采用局部分层的非均匀有理B-样条法。用于热力学问题的摩擦砂浆接触公式将扩展到相场问题。最终，这一新颖而独特的框架将被应用于提升轴系统的冲击模拟和圆盘断裂。SIEMAG TECBERG公司将提供正在调查的系统的必要参考数据。总而言之，高度复杂的网格细化程序以及新开发的多场和接触配方将应用于工业问题。