Stress-deformable state of isotropic double curved shell with internal cracks and a circular hole

Kateryna, Dovbnya; Krupko, Nataliia

doi:10.1016/j.mechmat.2015.04.017

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…Recently, static and dynamic stability, buckling, postbuckling and vibration of double curved shells under different types of loads are important for practical applications and have received considerable interest. Kateryna and Nataliia (Kateryna and Nataliia, 2015) considered stress-deformable state of isotropic double curved shell with internal cracks and a circular hole. Ghosh and Bhattacharya (Ghosh and Bhattacharya, 2015) tried to delve into the modeling of energy transmission through a double-wall curved panel using Green's theorem.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment

Duc

Hadavinia

Quan

et al. 2019

European Journal of Mechanics - A/Solids

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Analytical solutions for the nonlinear vibration of imperfect functionally graded nanocomposite (FG-CNTRC) double curved shallow shells on elastic foundations subjected to mechanical load in thermal environments are introduced in this paper. The double curved shallow shells are reinforced by single-walled carbon nanotubes (SWCNTs) which are assumed to be graded through the thickness direction according to the different types of linear functions. Motion and compatibility equations are derived using Reddy's higher order shear deformation shell theory and taking into account the effects of initial geometrical imperfection and temperaturedependent properties. The deflectiontime curve and the natural frequency are determined by using Galerkin method and fourthorder Runge -Kutta method. The effects geometrical parameters, elastic foundations, initial imperfection, temperature increment, mechanical loads and nanotube volume fraction on the nonlinear thermal vibration of the nanocomposite double curved shallow shells are discussed in numerical results. The 2 accuracy of present approach and theoretical results is verified by some comparisons with the known data in the literature.

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Section: Introductionmentioning

confidence: 99%

Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment

Duc

Hadavinia

Quan

et al. 2019

European Journal of Mechanics - A/Solids

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“…52 devoted the micro- and nano-mechanical behavior of orthotropic doubly-curved shells by considering the new modified couple stress theory. Kateryna and Nataliia 53 investigated the stress-deformable state of isotropic double-curved shell with internal cracks and a circular hole.…”

Section: Introductionmentioning

confidence: 99%

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

Duc

Nguyen²,

Cuong³

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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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.

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Nonlinear oscillations of cracked large-amplitude vibrating plates subjected to harmonic loads

Cao

Manoach

et al. 2021

Nonlinear Dyn

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Stress-deformable state of isotropic double curved shell with internal cracks and a circular hole

Cited by 4 publications

References 9 publications

Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment

Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment

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

Nonlinear oscillations of cracked large-amplitude vibrating plates subjected to harmonic loads

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