Thermal and thermo-mechanical solution of laminated composite beam based on a variables separation for arbitrary volume heat source locations

Abstract : In this work, a method to compute explicit thermal solutions for laminated and sandwich beams with arbitrary heat source location is developed. The temperature is written as a sum of separated functions of the axial coordinate x , the transverse coordinate z and the volumetric heat source location x 0. The derived non-linear problem implies an iterative process in which three 1D problems are solved successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the axial description , classical Finite Element method is used. The presented approach is assessed on various laminated and sandwich beams and comparisons with reference solutions with a fixed heat source location are proposed. Based on the accurate results of the thermal analysis , thermo-mechanical response is also addressed using also a separated representation.
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Philippe Vidal, Laurent Gallimard, Isabelle Ranc, Olivier Polit. Thermal and thermo-mechanical solution of laminated composite beam based on a variables separation for arbitrary volume heat source locations. Applied Mathematical Modelling, Elsevier, 2017, 46, pp.98-115. ⟨10.1016/j.apm.2017.01.064⟩. ⟨hal-01676516⟩

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