Singh, B. M.; Dhaliwal, R. S. Closed form solutions to dynamic punch problems by integral transform method. (English) Zbl 0533.73097 Z. Angew. Math. Mech. 64, 31-34 (1984). 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. Cited in 3 Documents MSC: 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics Keywords:dynamical problems; problem reduced into triple integral equations with trigonometrical kernel; integral transform method; closed form solution; elastic layer; one face lying on a rigid foundation; other face with two moving punches; closed form expressions for shear stress and contact pressure PDFBibTeX XMLCite \textit{B. M. Singh} and \textit{R. S. Dhaliwal}, Z. Angew. Math. Mech. 64, 31--34 (1984; Zbl 0533.73097) Full Text: DOI 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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.