A finite element approach to modeling of stresses in coated elastic solids is proposed. Concentrated contact problems, subjected to normal, shear and thermal loadings, shall be first considered in plane strain configuration. The finite element results shall be validated against solutions available from other proven analytical techniques; thus, technical feasibility of the overall approach shall be proven. A parametric evaluation of stresses in the coating, and the shear and tension conditions at the coating/substrate interface shall be carried out as a function of coating thickness and material properties to demonstrate practical significance of the model for development of actual designs. After such proven technical feasibility and practical significance of the model, potential of the finite element approach for modeling complex geometries and adverse mechanical and thermal loading environments, shall be demonstrated by modeling a three dimensional elliptical contact. Such an implementation, within the work scope of the proposed phase i effort, shall provide the required analytical foundation for the development of a more complex three dimensional finite element model, in phase II.