Thermal buckling of laminated composite plates using layerwise displacement model
Abstract
In this paper thermal buckling of laminated composite plates, based on Layerwise Theory of Reddy and new version of Layerwise Theory of Reddy, presented for the first time, are formulated using the principle of virtual displacements (PVD). The Navier's analytical solution is derived from the strong form, while the weak form is discretized using the isoparametric finite element approximation. The nine-node Lagrangian isoparametric element is used to derive element stiffness and geometric stiffness matrix. The originally coded MATI.AB program is used to investigate the effects of temperature distribution, side to thickness ratio, aspect ratio, modulus ratio E-1/E-2, thermal expansion coefficient ratio alpha(2)/alpha(1), mesh refinement and boundary conditions on thermal buckling of isotropic, orthotropic and laminated composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature and some new results are presented.
Keywords:
Thermal buckling / Layerwise plate theories / Laminates / Analytical solution / Finite element solutionSource:
Composite Structures, 2016, 142, 238-253Publisher:
- Elsevier Ltd
Funding / projects:
DOI: 10.1016/j.compstruct.2016.01.082
ISSN: 0263-8223
WoS: 000372691300022
Scopus: 2-s2.0-84959324653
Collections
Institution/Community
GraFarTY - JOUR AU - Ćetković, Marina PY - 2016 UR - https://grafar.grf.bg.ac.rs/handle/123456789/797 AB - In this paper thermal buckling of laminated composite plates, based on Layerwise Theory of Reddy and new version of Layerwise Theory of Reddy, presented for the first time, are formulated using the principle of virtual displacements (PVD). The Navier's analytical solution is derived from the strong form, while the weak form is discretized using the isoparametric finite element approximation. The nine-node Lagrangian isoparametric element is used to derive element stiffness and geometric stiffness matrix. The originally coded MATI.AB program is used to investigate the effects of temperature distribution, side to thickness ratio, aspect ratio, modulus ratio E-1/E-2, thermal expansion coefficient ratio alpha(2)/alpha(1), mesh refinement and boundary conditions on thermal buckling of isotropic, orthotropic and laminated composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature and some new results are presented. PB - Elsevier Ltd T2 - Composite Structures T1 - Thermal buckling of laminated composite plates using layerwise displacement model EP - 253 SP - 238 VL - 142 DO - 10.1016/j.compstruct.2016.01.082 ER -
@article{ author = "Ćetković, Marina", year = "2016", abstract = "In this paper thermal buckling of laminated composite plates, based on Layerwise Theory of Reddy and new version of Layerwise Theory of Reddy, presented for the first time, are formulated using the principle of virtual displacements (PVD). The Navier's analytical solution is derived from the strong form, while the weak form is discretized using the isoparametric finite element approximation. The nine-node Lagrangian isoparametric element is used to derive element stiffness and geometric stiffness matrix. The originally coded MATI.AB program is used to investigate the effects of temperature distribution, side to thickness ratio, aspect ratio, modulus ratio E-1/E-2, thermal expansion coefficient ratio alpha(2)/alpha(1), mesh refinement and boundary conditions on thermal buckling of isotropic, orthotropic and laminated composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature and some new results are presented.", publisher = "Elsevier Ltd", journal = "Composite Structures", title = "Thermal buckling of laminated composite plates using layerwise displacement model", pages = "253-238", volume = "142", doi = "10.1016/j.compstruct.2016.01.082" }
Ćetković, M.. (2016). Thermal buckling of laminated composite plates using layerwise displacement model. in Composite Structures Elsevier Ltd., 142, 238-253. https://doi.org/10.1016/j.compstruct.2016.01.082
Ćetković M. Thermal buckling of laminated composite plates using layerwise displacement model. in Composite Structures. 2016;142:238-253. doi:10.1016/j.compstruct.2016.01.082 .
Ćetković, Marina, "Thermal buckling of laminated composite plates using layerwise displacement model" in Composite Structures, 142 (2016):238-253, https://doi.org/10.1016/j.compstruct.2016.01.082 . .