The contact problem for a piecewise-homogeneous plane with a finite inclusion |
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| Authors: | R.D. Bantsuri N.N. Shavlakadze |
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| Affiliation: | 1. Max Planck Institute for Plasma Physics, EURATOM Association, Wendelsteinstr. 1, 17491 Greifswald, Germany;2. School of Nuclear Science and Technology, University of Science and Technology of China, Jinzhai Road 96, 230026 Hefei Anhui, PR China;3. Max-Planck-Institut für Plasmaphysik, EURATOM Association, Boltzmannstraße 2, 85748 Garching, Germany;4. Institute of Plasma Physics, Chinese Academy of Sciences, Shushanhu Road 350, 230031 Hefei Anhui, PR China;1. School of Information Science and Technology, Donghua University, Shanghai 201620, PR China;2. Department of Mechanical and Electrical Engineering, Zilang Cocational Technical College, Nantong, Jiangsu 226000, PR China;1. College of Automation, Harbin Engineering University, Harbin 150080, PR China;2. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, PR China;1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China;2. Laboratoire des Signaux et Systèmes (L2S, UMR CNRS 8506), CNRS-Supélec, 91192, Gif-Sur-Yvette, France;3. UPE, ESIEE Paris, Computer Science and Telecommunication Department, 93162, Noisy-Le-Grand, France;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 |
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| Abstract: | A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite inclusion, which meets 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. By using the methods of the theory of analytic functions, the problem is reduced to a singular integro-differential equation in a finite section. Using an integral transformation, a Riemann problem is obtained, the solution of which is presented in explicit form. |
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