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

• Applicant: Professor Dr. Valentin L. Popov
• Subject Area: Mechanics
• Term: from 2017 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 374549186

• Final Report Year: 2018

Final Report Abstract

It can be stated that the claimed aim of the project to extend the formalism of the MDR for the multi-scale indentation problem including the effect of adhesion for both a system of general non-axisymmetric indenters and a general linear elastic foundation has been achieved. It is shown that asymptotic modelling can make a bridge between MDR and BEM in multi-scale contact problems. The obtained asymptotic solutions can be used for evaluation of the multi-scale indentation test for soft biological tissues with the adhesion effect.

Publications

• (2018) Onset of detachment in adhesive contact of an elastic half-space and flat-ended punches with non-circular shape: analytic estimates and comparison with numeric analysis. J. Phys. D: Appl. Phys. (Journal of Physics D: Applied Physics) 51 (14) 145601
  Li, Qiang; Argatov, Ivan; Popov, Valentin L.
  (See online at https://doi.org/10.1088/1361-6463/aab28b)
• (2019) Cluster of the Kendall-type adhesive microcontacts as a simple model for load sharing in bioinspired fibrillar adhesives. Arch Appl Mech (Archive of Applied Mechanics) 89 (8) 1447–1472
  Argatov, Ivan; Li, Qiang; Popov, Valentin L.
  (See online at https://doi.org/10.1007/s00419-019-01516-1)
• 2017. Asymptotic modelling of bioinspired fibrillar adhesives. International Workshop "Adhesion and Friction: Simulation, Experiment, Applications", Technische Universität Berlin, November 13-16, 2017, Berlin, Germany
  Argatov, I.
  
• 2017. The extension of the method of dimensionality reduction to layered elastic media. ZAMM - Journal of Applied Mathematics and Mechanics
  Argatov, I., Heß, M., Popov, V.L.
  (See online at https://doi.org/10.1002/zamm.201700213)