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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1793–1805
DOI: https://doi.org/10.7868/S004446691411009X (Mi zvmmf10113) 		 
Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media

N. I. Martynov

Institute of Mathematics, Ministry for Education and Science of Kazakhstan, ul. Pushkina 125, Almaty, 050010, Kazakhstan
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DOI: https://doi.org/10.7868/S004446691411009X
Abstract: Boundary value problems in the plane moment and simplified moment elasticity theory of inhomogeneous isotropic media are reduced to Riemann–Hilbert boundary value problems for a quasianalytic vector. Uniquely solvable integral equations over a domain are derived. As a result, weak solutions for composite inhomogeneous elastic media can be determined straightforwardly.
Key words: inhomogeneous isotropic body, moment stresses, integral equations, Riemann–Hilbert boundary value problem, index.
Received: 24.12.2013
Revised: 28.04.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1725–1736
DOI: https://doi.org/10.1134/S0965542514110098
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. I. Martynov, “Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1793–1805; Comput. Math. Math. Phys., 54:11 (2014), 1725–1736
Citation in format AMSBIB
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