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I. A. Soldatenkov, "Adhesive indentation of a smooth punch into an elastic half-plane in the presence of an additional external load," Mech. Solids. 41 (1), 5-9 (2006)
Year 2006 Volume 41 Number 1 Pages 5-9
Title Adhesive indentation of a smooth punch into an elastic half-plane in the presence of an additional external load
Author(s) I. A. Soldatenkov (Moscow)
Abstract The influence of an additional external load on the process of adhesive indentation of a smooth punch into an elastic half-plane is analyzed. The additional load is modelled by a point force represented as a result of the action of an auxiliary punch with a flat base as the size of the contact region tends to zero. Such a representation of a point force corresponds to the familiar approach of [1] to studying such forces and enables one to avoid using the generalized function concept. The issue of the influence of an additional external load on the indentation of a punch into an elastic half-space in the absence of friction has been considered in [3].
References
1.  N. I. Muskhelishvili, Some Basic Problems of Mathematical Elasticity [in Russian], Izd-vo AN SSSR, Moscow, 1954.
2.  L. A. Galin, Contact Problems of Elasticiy and Viscoelasticity [in Russian], Nauka, Moscow, 1954.
3.  I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribilogy [in Russian], Mashinostroenie, Moscow, 1988.
4.  A. Yu. Ishlinskii, Applied Problems of Mechanics. Book 2. Mechanics of Elastic and Rigid Bodies [in Russian], Nauka, Moscow, 1986.
5.  N. I. Muskhelishvili, Singular Integral Equations [in Russian], Nauka, Moscow, 1968.
6.  V. M. Alexandrov, "On plane contact problems of elasticity in the presence of adhesion or friction", PMM [Applied Mathematics and Mechanics], Vol. 34, No. 2, pp. 246-257, 1970.
7.  I. A. Soldatenkov, "On the adhesive indentation of a symmetric punch into an elastic half-plane", PMM [Applied Mathematics and Mechanics], Vol. 60, No. 2, pp. 267-273, 1996.
8.  I. A. Soldatenkov, "Statement and solution of the problem of the adhesive indentation of a punch into an elastic half-plane", Izv. RAN. MTT [Mechanics of Solids], No. 4, pp. 39-52, 2000.
9.  K. L. Johnson, Contact Mechanics [Russian translation], Mir, Moscow, 1989.
Received 17 May 2004
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