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Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media
Authors:N. I. Martynov
Affiliation:1. Institute of Mathematics, Ministry for Education and Science of Kazakhstan, ul. Pushkina 125, Almaty, 050010, Kazakhstan
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.
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