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Some applications of the Cauchy integral in problems of the deformation of thin plates
Authors:G.Z. Sharafutdinov
Affiliation:1. Department of Engineering, Institute of Applied Mechanics, Universidad Nacional del Sur, Av. L.N. Alem 1253, B8000CPB Bahía Blanca, Argentina;2. CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas), Argentina
Abstract:Three complex potentials are used to obtain exact solutions of problems of the deformation of infinite thin plates of constant thickness with a circular or elliptical hole under uniaxial tension or under the action of internal pressure in three-dimensional setting. Solutions are sought using the Cauchy integral, which enables the solutions to be presented in finite form. The solutions obtained are compared with known solutions.
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