半無限体に接着された剛体パンチによるせん断

抄録

This paper is concerned with an asymmetric mixed boundary-value problem of an elastic half-space adhered by a rigid punch under shear stress. The behaviour of the adhesive layer is approximated by a combination of tension and shear springs. The normal and shear stresses on the adhesive region of the half-space are expressed by Jacobian polynomials. The problem is reduced to the solution of an infinite system of simultaneous equations. The distributions of stress and displacement on the surface of the half-space are illustrated for various values of the adhesion. The effects of the adhesion on the stress and displacement fields are also discussed.