Torsion axisymétrique d’un bi-matériau élastique avec inclusion interfaciale soumise à des disques rigides

Abstract

In this work, we investigate the problem of axisymmetric torsion in an elastic bimaterial containing an interfacial inclusion subjected to circular rigid disks. The problem is formulated within the framework of the linear theory of elasticity while taking into account the boundary conditions and continuity conditions at the interface between the two materials. By using the Hankel integral transform and the properties of Bessel functions, the mixed boundary value problem is reduced to a system of dual integral equations, which is then transformed into Fredholm integral equations of the second kind. A numerical method based on quadrature formulas is subsequently employed to convert the resulting system into a system of linear algebraic equations. This approach makes it possible to determine the displacement and stress fields and to analyze the influence of the geometric and mechanical parameters of the bimaterial on the torsional behavior of the structure.