%R 10.1007/s10665-008-9212-8 %T Thermo-elastic mismatch in nonhomogeneous beams %P 371-384 %J Journal of Engineering Mathematics %V 61 %N 2-4 %A Alberto Carpinteri %A Marco Paggi %D 2008 %K Analytical approach; Functionally graded materials; Multi-layered beams; Thermo-elasticity; Thermo-elastic mismatch %L eprints1967 %X The problem of thermo-elastic stress analysis in multi-layered nonhomogeneous beams is considered. The proposed analytical approach based on the multi-layered beam theory permits to take into account an arbitrary distribution of the Young?s modulus, of the thermal-expansion coefficient, and of the temperature variation along the beam depth. The effect of shear deformability of the interfaces is also carefully analyzed. Useful closed-form solutions for the normal stresses in the layers and for the interface tangential stresses are provided in the case of nonhomogeneous bi- and tri-layered beams. The obtained results show the effectiveness of using functionally graded materials to relieve stress-concentrations due to the thermo-elastic mismatch typical of laminated beams with homogeneous layers. %I Springer