Multi-scale adhesive contact for layered media: Asymptotic modelling, BEM simulation, and MDR extension

该项目旨在进一步发展基于轴对称接触问题精确解的MDR(降维方法)形式(正反映射规则)。该项目的目标是将MDR扩展到弹性半空间的非轴对称压痕问题和层状系统的粘接接触问题，特别是接触区域非紧凑的多尺度压痕试验问题。这将通过将MDR公式的最新进展与边界元数值模拟和渐近分析相结合来实现。提出的研究项目在三个工作包的框架内细分为几个具体的研究方向：1)微接触簇的粘接接触问题的渐近解；2)微接触相互作用的接触分裂原理的推广；3)层状介质的MDR扩展。到目前为止，还没有关于多粘接接触相互作用的解析研究和计算机模拟的报道，这种粘接压痕MDR的扩展将为解决许多动态接触问题提供强有力的工具，包括粘弹性固体与粘附力的影响。根据该项目的调查结果，合作伙伴计划在未来在这一领域开展全面合作。

The proposed project is aimed at further developing the MDR (Method of Dimensionality Reduction) formalism (forward and inverse mapping rules), which is based on exact solutions of axisymmetric contact problems. The objective of the project is to extend the MDR for the non-axisymmetric indentation problem of an elastic half-space and to adhesive contacts of layered systems, and in particular the problem of multi-scale indentation tests with non-compact area of contact. This will be achieved by combining the latest advances in the MDR formulation with numerical simulation using Boundary Element Method and asymptotic analysis.The proposed research project is subdivided into several specific research lines in the framework of three Work Packages as follows: 1) Asymptotic solution of adhesive contact problem for a cluster of microcontacts; 2) Generalization of the principle of contact splitting for microcontacts interaction; 3) MDR extension for layered media. To date, such analytical studies and computer simulations for the multiple adhesive contact interaction have not been reported.This prospective extension of the MDR for adhesive indentation will provide a powerful tool for solving many dynamic contact problems including impact of viscoelastic solids with adhesion. Based on the findings of the project, the partners plan to develop comprehensive collaboration in this field in the future.