The contact problem for a piecewise-homogeneous plane with a semi-infinite inclusion |
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| Authors: | R.D. Bantsuri N.N. Shavlakadze |
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| Affiliation: | 1. ACPDE, University of Monastir, Tunisia;2. Maths. Dept., Science College, King Khalid University, Abha, Saudi Arabia;3. Maths. Dept., College of Science, King Khalid University, Abha, Saudi Arabia;1. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6, Tamarashvili Str., Tbilisi 0177, Georgia;2. Department of Mathematics of HHU, 40225 Düsseldorf, Germany;1. Université Paris 13, Sorbonne Paris Cité, CNRS, UMR 7539 LAGA, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France;2. Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6, Tamarashvili Str., Tbilisi 0177, Georgia;3. Department of Mathematics of HHU, 40225 Düsseldorf, Germany |
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| Abstract: | A piecewise-homogenous elastic plate, reinforced with a semi-infinite inclusion, which intersects the interface at a right angle and is loaded with shear forces is considered. The contact stresses along the contact line are determined and the behaviour of the contact stresses in the neighbourhood of singular points is established. Using methods of the theory of analytical functions and integral transformations the problem is reduced to a system of singular integro-differential equations on the semi-axis. The solution is presented in explicit form. |
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