@article{eprints1967,
           title = {Thermo-elastic mismatch in nonhomogeneous beams},
          author = {Alberto Carpinteri and Marco Paggi},
            year = {2008},
         journal = {Journal of Engineering Mathematics},
          number = {2-4},
          volume = {61},
           pages = {371--384},
       publisher = {Springer},
        keywords = {Analytical approach; Functionally graded materials; Multi-layered beams; Thermo-elasticity; Thermo-elastic mismatch},
        abstract = {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.},
             url = {http://eprints.imtlucca.it/1967/}
}