AN ADVANCED 1D FINITE ELEMENT SOLUTION FOR THERMOELASTICITY PROBLEMS IN LAMINATED BEAMS

The main purpose of the present work is the evaluation of the effects of a number of parameters on the static and dynamic thermoelastic responses of laminated beams. In particular, the stacking sequence, the aspect-ratio, the degree of anisotropy, the boundary and loading conditions are considered as problem parameters. To this end, higher-order one-dimensional models are developed for thermoelastic analyses. Governing equations (equations of motion and energy equation) are derived in a unified manner. The developed unified formulation enables the dynamic and static classical coupled and uncoupled theories of thermoelasticity to be obtained. The equations, which are written in the weak form using the weighted residual method based on the Galerkin technique, are derived according to the Carrera Unified Formulation (CUF) and the Finite Element (FE) Method. The used methodology reduces the 3D problem to one-dimensional models that are able to provide 3D-like solutions with a relevant level of accuracy. Moreover, the classical coupled, dynamic uncoupled, quasi-static uncoupled, and steady-state uncoupled theories of thermoelasticity can be derived as particular cases.