ABSTRACT
The thermal stress induced by the mismatch of coefficients of thermal expansion (CTE) for a multi-layer system is a well-known fact. Beams or plates composed of different material layers may transform into cylindrical or spherical bent shapes under temperature changes due to thermal stress (see, e.g., [1] for references). Timoshenko’s pioneering work [2] in the bimaterial system calculated the in plane stress by measuring the curvature of the material system. Scherer [3] has generalized Timoshenko’s analysis and extended it to any type of stress which induces curvature changes. For plate structures, Corcoran [4] laid the groundwork for calculating the residual stress for organic coatings (e.g., paints) on metal substrates. Benabdi and Roche ([5],[6]) have analyzed mechanical properties of
thin and thick coatings on various substrates in both residual stress and Young’s modulus determination.
