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Closed Form Solutions to Dynamic Punch Problems by Integral Transform Method
Author(s) -
Dhaliwal R. S.,
Singh B. M.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840640106
Subject(s) - closed form expression , integral transform , mathematics , integral equation , mathematical analysis , face (sociological concept) , kernel (algebra) , boundary value problem , pure mathematics , social science , sociology
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.