Dynamic anti-plane deformation of an orthotropic wedge with viscous damping

An orthotropic wedge under time harmonic anti-plane load is analyzed. Two cases of boundary conditions a wedge with fixed-free and free-free edges are considered. Viscous damping models the energy dissipation property of the material. Equation of motion of wedge is written in polar coordinates and the Kantorovich-Lebedov transformation is employed to solve the equation. The inversion of transformation is carried out by means of contour integration to obtain analytical expression for displacement and stress components in the whole region. The solution allows asymptotic analysis of stress fields in the vicinity of the wedge apex. The effects of damping coefficient, ratio of elastic shear moduli and the excitation frequency on the stress distribution are studied

کلیدواژه ها:

wedge ، critical planes ، Kantorovich-Lebedov transformation ، Besselfunctions ، anti-plane