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Acknowledgements This work was supported by the Deutsche Forschungsgemeinschaft (DFG), project PO 810-55-3; it partially contains results of investigations carried out within the scope of Scholarship work within the framework of the nominal scholarship of the Verkhovna Rada of Ukraine for young scientists – doctors of sciences (Resolution of the Verkhovna Rada of Ukraine of 14.07.2021 No. 1641-IX). References Argatov, I. I., Borodich, F. M., Popov, V. L., 2015. JKR Adhesive Contact for a Transversely Isotropic Layer of Finite Thickness. Journal of Physics D: Applied Physics 49 (4), 45307. Banerjee, P. K., 1994. The Boundary Element Methods in Engineering , 2nd ed. (London, etc.: McGraw - Hill); ISBN 0 - 07 - 707769 - 5. Derjaguin, B. V., Muller, V. M., Toporov, Y. P., 1975. Effect of Contact Deformations on the Adhesion of Particles. Journal of Colloid and Interface Science 53 (2), 314–326. Johnson, K. L., Kendall, K., Roberts, A. D., 1971. Surface Energy and the Contact of Elastic Solids. Proceedings of the Royal Society A 324 (1558), 301–313. Hertz, H., 1882. Ueber die Berührung Fester Elastischer Körper. Journal für die reine und angewandte Mathematik 92, 156–171. Khomenko, A. V., Lyashenko, Ya. A., Metlov, L. S., 2008. Phase Dynamics and Kinetics of Intensive Plastic Deformation. Metallofizika i Noveishie Tekhnologii 30(6), 859–872. Li, Q., Pohrt, R., Lyashenko, I. A., Popov, V. L., 2020. Boundary Element Method for Nonadhesive and Adhesive Contacts of a Coated Elastic Half - Space. Proc IMechE Part J: J Engineering Tribology 234 (1), 73–83. Lyashenko, I. A., Li, Q., Popov, V. L., 2021. Influence of Chemical Heterogeneity and Third Body on Adhesive Strength: Experiment and Simulation. Frontiers in Mechanical Engineering, section Tribology 7, 658858. Maugis, D., 1992. Adhesion of Spheres: the JKR-DMT-Transition using a Dugdale Model. Journal of Colloid and Interface Science 150 (1), 243 – 269. Reddy, J. N., 2006. An Introduction to the Finite Element Method , 3rd ed. (McGraw - Hill Mechanical Engineering); ISBN 9780071267618. Popova, E., Popov, V. L., 2020. Ludwig Föppl and Gerhard Schubert: Unknown Classics of Contact Mechanics. Zeitschrift für angewandte Mathematik und Mechanik: ZAMM 100, e202000203. Popov, V. L., Pohrt, R., Li, Q., 2017. Strength of Adhesive Contacts: Influence of Contact Geometry and Material Gradients. Friction 5 (3), 308– 325. Popov V. L, Li, Q., Lyashenko I. A., Pohrt, R., 2021. Adhesion and Friction in Hard and Soft Contacts: Theory and Experiment. Friction 9 (6), 1688–1706. Popov V. L., 2010. Contact Mechanics and Friction. Physical Principles and Applications . Berlin, Springer. Popov, V. L., Heß, M., Willert, E., 2019. Handbook of Contact Mechanics. Exact Solutions of Axisymmetric Contact Problems . Berlin, Springer. Psakhie, S. G., Horie, Y., Korostelev, S. Yu., Smolin, A. Yu., Dmitriev, A. I., Shilko, E. V., Alekseev, S. V., 1995. Method of Movable Cellular Automata as a Tool for Simulation within the Framework of Mesomechanics. Russian Physics Journal 38 (11), 1157–1168. Pohrt, R., Li, Q., 2014. Complete Boundary Element Formulation for Normal and Tangential Contact Problems. Physical Mesomechanics 17, 334–340.