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.