Solutions of dissimilar material contact problems

In this paper, the stress distribution near the singular point in a two dissimilar materials contact problem will be considered, in which the interface is friction free or with friction. The loads may be thermal or mechanical loading. For the type of rω singularity the stress distribution near the singular point is given byσij(r,θ)=∑n=1NKn(r/R)ωnfijn(θ)+σ0fij0(θ)The first term is the singular term, and the second term is called the regular term which is especially important for thermal loading. The solutions for determination of the stress exponents, the angular functions and the regular stress term for a friction free interface and an interface with friction will be presented. Finally, the general behavior of the stress exponents for various geometries and material combinations will be discussed.