Continuous modeling and minimal dimension reduction for the nonlinear dynamics of thermoelastic laminated plates

In laminated plates, different approximations for the deformation of the reference plane and the shear-warping of the cross section result in distinct geometrically nonlinear and shear deformation models. In addition to these mechanical features, it is often important to evaluate the effects of thermal phenomena, by properly selecting some relevant simplifying assumptions. When formulating ROMs to be used for highlighting features of nonlinear dynamic response, shear deformations are usually taken into account, whereas nonlinear curvatures and thermo-elastic coupling are generally overlooked. In this work, modeling of thermoelastic nonlinear laminated plates is addressed in the background of classical Tonti diagram for physical theories [1]. It allows a comprehensive and unified classification/comparison of various assumptions concerning (i) geometric nonlinearities, (ii) shear deformability and (iii) thermal involvement. From a mathematical point of view, the resulting continuous mod