Methods and algorithms for contact mechanics.

接触力学的方法和算法。

• 批准号: 256447575
• 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: 2014
• 资助国家: 德国
• 起止时间: 2013-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/256447575?language=en
• 关键词: Methods; algorithms; contact; mechanics.

Contact mechanics has become increasingly important in the field of computational mechanics since it can deal with a variety of industrial applications. Since the beginning of this century, many research projects focus on variationall consistent formulations in space and time. The central goal of the proposed research project is to develop a most common approach for consistent contact formulations, which can deal with the following properties of the contact surface: Both surfaces in contact undergo finite deformations, anisotropic effects of Coulomb's law and adhesive effects in normal directions.The formulation to be developed will be most common and largely independent of the chosen discretisation. In particular, Lagrangian meshes as well as NURBS and T-Splines within the context of isogeometric analysis are considered. Furthermore, potential fracture effects at the actual contact area will be considered as well, using modern phase-field methods. Various systems force the usage of implicit integrators. Therefore, structure preserving time integration schemes are to be developed for the sake of a numerically stable simulation.Summarised, a complete, modern and efficient contact model will be developed which can be applied to nearly all situations. The goal can be accomplished within only a single funding period due to preliminary work within the prior project.

接触力学在计算力学领域中的重要性与日俱增，因为它可以处理各种工业应用。自本世纪以来，许多研究项目都集中在变分上，即空间和时间上的一致性表述。该研究项目的中心目标是开发一种最常用的一致接触公式，它可以处理接触表面的以下特性：接触的两个表面都经历有限变形，库仑定律的各向异性效应和法向粘附效应。特别是，拉格朗日网格以及NURBS和T样条等几何分析的背景下被认为是。此外，在实际接触面积的潜在断裂效应也将被考虑，使用现代相场方法。各种系统强制使用隐式积分器。因此，为了数值稳定的模拟，需要开发结构保持时间积分方案。总之，将开发一个完整的、现代的和有效的接触模型，该模型可以应用于几乎所有的情况。由于前期项目的前期工作，这一目标可以在一个单一的供资期内实现。

项目成果

Variational space–time elements for large-scale systems

• DOI: 10.1016/j.cma.2017.08.020
• 发表时间: 2017-11
• 期刊: Computer Methods in Applied Mechanics and Engineering
• 影响因子: 7.2
• 作者: C. Hesch;S. Schuß;M. Dittmann;S. Eugster;M. Favino;R. Krause

A framework for polyconvex large strain phase-field methods to fracture

• DOI: 10.1016/j.cma.2016.12.035
• 发表时间: 2017-04
• 期刊: Computer Methods in Applied Mechanics and Engineering
• 影响因子: 7.2
• 作者: C. Hesch;A. J. Gil;R. Ortigosa;M. Dittmann;Carola Bilgen;P. Betsch;M. Franke;A. Janz;K. Weinberg

Isogeometric analysis and hierarchical refinement for multi-field contact problems

多场接触问题的等几何分析和层次细化

• DOI: 10.5445/ksp/1000063914
• 发表时间: 2016
• 作者: M. Dittmann