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 Zh. Vychisl. Mat. Mat. Fiz., 2000, Volume 40, Number 4, Pages 623–632 (Mi zvmmf1517)

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

I. I. Argatov

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English version:
Computational Mathematics and Mathematical Physics, 2000, 40:4, 594–603

Bibliographic databases:
UDC: 519.6:539.3(3)
MSC: Primary 74M15; Secondary 74G10, 35Q72

Citation: I. I. Argatov, “Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory”, Zh. Vychisl. Mat. Mat. Fiz., 40:4 (2000), 623–632; Comput. Math. Math. Phys., 40:4 (2000), 594–603

Citation in format AMSBIB
\Bibitem{Arg00} \by I.~I.~Argatov \paper Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2000 \vol 40 \issue 4 \pages 623--632 \mathnet{http://mi.mathnet.ru/zvmmf1517} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1781112} \zmath{https://zbmath.org/?q=an:0998.74050} \transl \jour Comput. Math. Math. Phys. \yr 2000 \vol 40 \issue 4 \pages 594--603 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. 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
2. 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
3. Argatov I.I., “Interaction of several dies on an elastic half-space”, International Applied Mechanics, 39:9 (2003), 1054–1059
4. Nazarov S.A., Sokolowski J., “Asymptotic analysis of shape functionals”, J Math Pures Appl (9), 82:2 (2003), 125–196
5. Argatov I.I., “An approximate solution of the axisymmetric contact problem for an elastic sphere”, J Appl Math Mech, 69:2 (2005), 275–286
6. Argatov I.I., “The solution of the Hertz axisymmetric contact problem”, J Appl Math Mech, 70:4 (2006), 621–635
7. 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
8. 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
9. 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
10. Argatov I.I., “Slow vertical motions of a system of punches on an elastic half-space”, Mechanics Research Communications, 36:2 (2009), 199–206
11. Argatov I.I., “Asymptotic models for the topological sensitivity of the energy functional”, Appl Math Lett, 22:1 (2009), 19–23
12. 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
13. 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
14. 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
15. 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
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