Computational adhesion - Numerical methods for adhesive contact problems at multiple length scales.

提出的研究重点是开发不同长度尺度上粘着接触的三维计算方法。为了提供一个一般的描述和捕捉大的变形，由于强附着力，接触建模将在非线性连续介质力学的框架下制定。目标是开发准确，高效和鲁棒的接触算法，以解决粘附的各个方面，如粘附动力学，耦合粘附，摩擦粘附和粘附的多尺度建模。开发的粘附模型将在非li-near有限元方法中实现，并详细分析其行为。壁虎复杂的粘附机制激发了本研究的动机，并提供了几个有待研究的开放性问题。特别是，我们将开发一个壁虎粘附的五级多尺度模型，以研究粘附如何从分子尺度转移到宏观尺度。这项研究有许多进一步的应用，并有望显著推进粘附科学和技术。

The proposed research focuses on the development of 3D computational methods for adhesive contact on different length scales. To provide a general description and to capture large deformations due to strong adhesion, the contact modelling will be formulated in the framework of nonlinear conti-nuum mechanics. The goal is to develop accurate, efficient and robust contact algorithms to address various aspects of adhesion such as adhesion dynamics, coupled adhesion, frictional adhesion and multiscale modelling of adhesion. The developed adhesion models will be implemented within a nonli-near finite element approach and their behaviour will be analysed in detail. The complex adhesion mechanism of the gecko motivates this research and provides several open problems that will be studied here. In particular, a five-level multiscale model for gecko adhesion will be developed to investigate how adhesion can carry over from the molecular scale to the macroscopic scale. This research has many further applications and is expected to significantly advance the science and technology of adhesion.