On the problem of edge-bonded elastic quarter-planes loaded at the boundary

Abstract The stress field in bonded quarter-planes of different elastic materials due to arbitrary (integrable) normal and shear loading applied at the boundary is given explicitly in terms of the two composite parameters α, β introduced in Dundur's discussion [2] of the author's previous paper [1]. The singularity in the stress field is studied for all physically relevant values of α, β. The singularity is of order r − λ , log r, or 1 depending on the values of α, β. The solution for uniform normal and shearing tractions is also obtained from a limiting case. The general solution is also used to derive a simple algebraic function of α only, that represents the fraction of the applied load borne by each quarter-plane. Finally the loading is specialized to that of a concentrated normal force and the resulting stress components are shown graphically as a function of position along the bonded edge for various values of α, β.