An analytical approach on nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by carbon nanotubes

This work presents the nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by single-walled carbon nanotubes resting on elastic foundations based on the higher order shear deformation theory with geometrical nonlinearity in von Karman–Donnell sense...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Journal of mechanical engineering science, 2019-06, Vol.233 (11), p.3888-3903
Main Authors: Duc, Nguyen Dinh, Nguyen, Pham Dinh, Cuong, Nguyen Huy, Van Sy, Nguyen, Khoa, Nguyen Dinh
Format: Article
Language:English
Subjects:
Carbon
Composite structures
Elastic deformation
Foundations
Functionally gradient materials
Galerkin method
Material properties
Nanocomposites
Nonlinear analysis
Nonlinearity
Polymethyl methacrylate
Postbuckling
Shallow shells
Shear deformation
Single wall carbon nanotubes
Stress functions
Temperature dependence
Thermal buckling
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Summary:This work presents the nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by single-walled carbon nanotubes resting on elastic foundations based on the higher order shear deformation theory with geometrical nonlinearity in von Karman–Donnell sense. The composite shells are made of various amorphous polymer matrices: poly(methyl methacrylate) (PMMA) and poly{(m-phenylenevinylene)-co-[(2,5-dioctoxy-p-phenylene) vinylene]} (PmPV). The governing equations are solved by the Galerkin method and Airy's stress function to achieve mechanical and thermal post-buckling behaviors of nanocomposite double-curved shallow shells. Various types of distributions of carbon nanotubes, both uniform distributions, and functionally graded distributions are examined. The material properties of nanocomposite double-curved shallow shells are assumed to be temperature dependent. Detailed parametric studies are carried out on the effect of various types of distribution and volume fractions of carbon nanotubes, temperature increments, elastic foundations, edge to radius and edge to thickness ratios on the nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by CNTs.
ISSN:0954-4062
2041-2983
DOI:10.1177/0954406218802921