A note on the elastodynamic load transfer problem

Abstract

This paper illustrates the solution of elastodynamic load transfer problems involving a cylindrical elastic bar partially embedded in a homogeneous isotropic elastic half space using a solution scheme based on a coupled variational-boundary integral equation algorithm. The present solution scheme has several advantages over conventional schemes based on the fictitious bar-extended half space model when applied to solve elastodynamic load transfer problems. The analysis ensures limiteddisplacement compatibility andtraction continuity along thetrue contact surface between the bar and the half space. The solution scheme is based on an elastodynamic variational principle and utilizes appropriate Green's function representations for the surrounding half space. Selected numerical results for torsional and axial impedances of the bar-half space system are presented and these are compared with those obtained previously on the basis of the fictitious bar-extended half space model In addition, the bar displacement and the bar stress resultant profiles are presented for torsion and axial load transfer problems to portray the dependence of the load diffusion on the governing parameters of the bar-half space system.