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

建议的研究重点是开发不同长度尺度下粘接接触的三维计算方法。为了提供一般的描述和捕捉由于强粘着而产生的大变形，接触模型将在非线性连续力学的框架下建立。其目标是开发准确、高效和健壮的接触算法，以解决附着动力学、耦合附着、摩擦附着和附着的多尺度建模等附着问题的各个方面。所开发的附着力模型将在非线性近似有限元方法中实现，并将对其行为进行详细分析。壁虎复杂的黏附机制推动了这项研究，并提供了几个有待解决的问题，将在这里进行研究。特别是，将开发一个关于壁虎黏附的五级多尺度模型，以研究黏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，有望显著推动粘接科学技术的发展。

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.