1MSME - Laboratoire de Modélisation et Simulation Multi Echelle (Université Paris-Est, 5 Bd Descartes, 77454 Marne-la-Vallée, Cedex 2
Université Paris-Est Créteil Val de Marne(UPEC) Faculté des Sciences et Technologie - Equipe de Biomécanique
61 avenue du général de Gaulle 94010 Créteil Cedex - France)
Abstract : In this work, the size effect on the effective through-thickness conductivity of heterogeneous plates is expressed in second-order Hashin-Shtrikhman bounds and a third-order correlation approximation is studied. By taking into account the homogeneous temperature boundary conditions, the exact Green operator for the plate is first established. Then , the respective bounds and correlation approximation are constructed. With the help of the methods based on the Fast Fourier Transform (FFT), the bounds and correlation approximation for the effective through-thickness conductivity are computed for the plates reinforced or weakened randomly either by spherical particles or unidirectional fibers. The numerical results show that the size effect on the effective through-thickness conductivity is more significant than the one of the effective in-plane conductivity.
https://hal-upec-upem.archives-ouvertes.fr/hal-01078269
Contributor : Hung Le Quang
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Submitted on : Saturday, March 5, 2016 - 9:10:43 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:11 PM
Long-term archiving on: Monday, June 6, 2016 - 11:28:52 AM
H. Le Quang, D. C. Pham, Guy Bonnet. Size effect in through-thickness conductivity of heterogeneous plates. International Journal of Thermal Sciences, Elsevier, 2014, 79, pp.40-50. ⟨hal-01078269⟩
