Steady-State Nonlinear Heat Transfer in Multilayered Composite Panels

A two-dimensional computational model is developed for nonlinear heat transfer in multilayered composite panels. The model is based on a first-order thermal lamination theory with a linear through-the-thickness variation of temperature. Both convection and nonlinear conduction modes of heat transfer are considered. A three-field mixed finite element model is used for the spatial discretization, with the fundamental unknowns consisting of temperature parameters, flux resultants, and generalized temperature gradients. The flux resultants and generalized temperature gradients are eliminated on the element level. A computational procedure is presented for generating the thermal response and the sensitivity derivatives with respect to material and lamination parameters. The effectiveness of the foregoing two-dimensional computational model is demonstrated by means of two numerical examples in which the solutions obtained by the model are compared with three-dimensional finite element solutions.

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