Affiliation:
1. Lavrentyev Institute of Hydrodynamics of SB RAS, 630090 Novosibirsk, Russia
Abstract
In the framework of 2D-elasticity, an equilibrium problem for an inhomogeneous body with a curvilinear inclusion located strictly inside the body is considered. The elastic properties of the inclusion are assumed to depend on a small positive parameter δ characterizing its width and are assumed to be proportional to δ−1. Moreover, it is supposed that the inclusion has a curvilinear rough boundary. Relying on the variational formulation of the equilibrium problem, we perform the asymptotic analysis, as δ tends to zero. As a result, a variational model of an elastic body containing a thin curvilinear rod is constructed. Numerical calculations give a relative error between the initial and limit problems depending on δ.
Funder
Ministry of Science and Higher Education of the Russian Federation
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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