Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory
I. I. Argatov

This publication is cited in the following articles:

1. Argatov I.I., “Indentation Mapping of Stretched Adhesive Membranes”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 477:2251 (2021), 20210349    
2. Goryacheva I.G., Tsukanov I.Yu., “Development of Discrete Contact Mechanics With Applications to Study the Frictional Interaction of Deformable Bodies”, Mech. Sol., 55:8 (2020), 1441–1462    
3. Argatov I., Li Q., Popov V.L., “Cluster of the Kendall-Type Adhesive Microcontacts as a Simple Model For Load Sharing in Bioinspired Fibrillar Adhesives”, Arch. Appl. Mech., 89:8 (2019), 1447–1472    
4. Argatov I.I., Sabina F.J., “A Refined Maxwell'S Scheme For Calculating Effective Properties of Composite Layers”, Int. J. Eng. Sci., 127 (2018), 80–91        
5. Argatov I.I., “Electrical Contact Resistance, Thermal Contact Conductance and Elastic Incremental Stiffness for a Cluster of Microcontacts: Asymptotic Modelling”, Quart J Mech Appl Math, 64:1 (2011), 1–24            
6. Georgievskii D.V., “Asymptotics of Solutions of the Three-Dimensional Elasticity Equations for Compressible and Incompressible Bodies”, Mechanics of Solids, 46:1 (2011), 96–103        
7. Garyaeva T.I., Georgievskii D.V., “K zadache teorii uprugosti v peremescheniyakh dlya tsilindricheskogo sloya s silno razlichayuschimisya kharakternymi razmerami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2011, no. 3, 30–36      
8. Argatov I.I., “Slow vertical motions of a system of punches on an elastic half-space”, Mechanics Research Communications, 36:2 (2009), 199–206            
9. Argatov I.I., “Asymptotic models for the topological sensitivity of the energy functional”, Appl Math Lett, 22:1 (2009), 19–23            
10. Arkhipova I.M., Chirkov V.Yu., “Interaction of slowly moving punches with an elastic half-space”, Journal of Applied Mechanics and Technical Physics, 49:6 (2008), 1055–1062          
11. Argatov I.I., “Slow vertical motions of an elliptic punch on an elastic half-space”, International Journal of Engineering Science, 46:7 (2008), 711–724          
12. Argatov I.I., “Slow nonstationary vertical motions of a die on the surface of an elastic half-space”, Mechanics of Solids, 42:5 (2007), 744–759      
13. Argatov I.I., “The solution of the Hertz axisymmetric contact problem”, J Appl Math Mech, 70:4 (2006), 621–635              
14. Argatov I.I., “An approximate solution of the axisymmetric contact problem for an elastic sphere”, J Appl Math Mech, 69:2 (2005), 275–286              
15. Argatov I.I., “Interaction of several dies on an elastic half-space”, International Applied Mechanics, 39:9 (2003), 1054–1059          
16. Nazarov S.A., Sokolowski J., “Asymptotic analysis of shape functionals”, J Math Pures Appl (9), 82:2 (2003), 125–196          
17. Argatov I.I., Nazarov S.A., “Energy release caused by the kinking of a crack in a plane anisotropic solid”, J Appl Math Mech, 66:3 (2002), 491–503            
18. Argatov I.I., “The pressure of a punch in the form of an elliptic paraboloid on an elastic layer of finite thickness”, J Appl Math Mech, 65:3 (2001), 495–508