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.

该项目的目的是对计算力学领域的新型等几何分析（IGA）技术进行基础理论和数值研究，并开发算法，从而能够高效、鲁棒地分析接触界面。特别是，将考虑接触力学背景下的断裂力学问题和热机械问题，并在最后一步将其应用于复杂的机器零件，证明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更高的连续性要求，将应用具有局部分层细化方案的非均匀有理 B 样条。用于热机械问题的摩擦砂浆接触公式将扩展到相场问题。最终，这种新颖而独特的框架将应用于冲击模拟以及提升轴系统的圆盘断裂。 SIEMAG TECBERG 公司将提供所调查系统的必要参考数据。总之，高度复杂的网格细化程序以及新开发的多场和接触公式将应用于解决工业问题。