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Closed form solutions to dynamic punch problems by integral transform method. (English) Zbl 0533.73097

Summary: In this paper we have used integral transform method to obtain a closed form solution of dynamical mixed boundary value problems. We consider an elastic layer with one face lying on a rigid foundation and the other face with two moving punches. Two particular cases of this general problem are considered in detail. The solution for each problem is reduced into triple integral equations with trigonometrical kernel. We have obtained closed form solutions of each set of triple integral equations and closed form expressions for shear stress and contact pressure.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
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References:

[1] Singh, Acta Mechanica 38 pp 99– (1981)
[2] : Elastodynamic Crack Problems, Noordhoff International Publishing, Leyden (1977).
[3] : Contact Problems in the Classical Theory of Elasticity, Sijthoff & Noordhoff International Publishers (1980). · doi:10.1007/978-94-009-9127-9
[4] Tait, Int. J. Eng. Sci. 19 pp 221– (1981)
[5] Srivastava, Proc. R. Soc. Edinburgh Sect, A 68 pp 309– (1970)
[6] ; : Table of Integrals Series and Products, Academic Press, New York and London (1965).
[7] Singh, Glasgow Math. J. 14 pp 174– (1973)
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