Comptes Rendus
no. 1
Refined theory of bi-layer beams for a transversely isotropic body
Ting-ting Liu1  ; Bao-sheng Zhao1
1 School of Mechanical Engineering and Automation, University of School and Technology Liaoning, Anshan, 114051, PR China
Comptes Rendus. Mécanique, Volume 343 (2015) no. 1, pp. 27-37.
est référencé par Corrigendum to “Refined theory of bi-layer beams for a transversely isotropic body” [C. R. Mecanique 343 (2015)]

Based on elastic theory, the refined theory of bi-layer beams for a transversely isotropic body is studied. Using the Elliott–Lodge (E–L) solution and Luré method, the refined theory of beams is derived from continuity conditions without ad hoc assumptions. It is shown that the displacements and stresses of the beam can be represented by displacements and stresses of the interface of two layers of different materials. The governing equations about the transverse displacement of the interface can be obtained directly from the refined theory under transverse surface loading. Approximate solutions are derived for beams by dropping terms of high order. In addition, one example is examined to illustrate the application of the theory proposed in this paper.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.08.002
Mots clés : Transversely isotropic, Bi-layer beams, Refined theory, E–L solution, Luré method
Ting-ting Liu 1 ; Bao-sheng Zhao 1

1 School of Mechanical Engineering and Automation, University of School and Technology Liaoning, Anshan, 114051, PR China 
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Ting-ting Liu; Bao-sheng Zhao. Refined theory of bi-layer beams for a transversely isotropic body. Comptes Rendus. Mécanique, Volume 343 (2015) no. 1, pp. 27-37. doi : 10.1016/j.crme.2014.08.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.08.002/

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