Post-buckling of sigmoid-functionally graded material toroidal shell segment surrounded by an elastic foundation under thermo-mechanical loads

Bich, Dao Huy; Ninh, Dinh Gia

doi:10.1016/j.compstruct.2015.11.044

Cited by 37 publications

(18 citation statements)

References 27 publications

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“…Based on the CST, nonlinear equilibrium equations for a TSS surrounded by an elastic medium are [31]…”

Section: Formulationsmentioning

confidence: 99%

“…where coefficients a i2 (i = 1 ÷ 6) have been defined in the works [16,17]. The present study considers simply supported CNTRC TSS with freely movable edges and the associated boundary conditions are [30,31,33]…”

Section: Formulationsmentioning

confidence: 99%

“…where N x0 is prebuckling axial fore resultant and zero-valued in the present study. The following three-term solution of deflection and stress function are assumed to satisfy approximately boundary conditions (16) [31] w (x,…”

Section: Formulationsmentioning

confidence: 99%

“…Eqs. (28) and (31) are used for postbuckling analysis of CNTRC TSSs under uniform external pressure.…”

Section: Formulationsmentioning

confidence: 99%

“…Making use of analytical approaches with three-term solution of deflection and classical thin shell theory, Ansari et al [28] and Ninh [29] considered the postbuckling behavior of FG-CNTRC cylindrical shells with piezoelectric layers subjected to external pressure and torsional loads, respectively. Although postbuckling behavior of ceramic-metal FGM toroidal shell segments has been addressed in works [30,31], to the best of authors' knowledge, there is no investigation on nonlinear stability of CNTRC toroidal shell segments. As important structural components, CNTRC toroidal shell segments have potential applications in many different scientific fields, especially in aerospace science and engineering [32].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Tung

Hiếu

2018

Vietnam J. Mech.

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Buckling and postbuckling behaviors of Toroidal Shell Segment (TSS) reinforced by single-walled carbon nanotubes (SWCNT), surrounded by an elastic medium and subjected to uniform external pressure are investigated in this paper. Carbon nanotubes (CNTs) are reinforced into matrix phase by uniform distribution (UD) or functionally graded (FG) distribution along the thickness direction. Effective properties of carbon nanotube reinforced composite (CNTRC) are estimated by an extended rule of mixture through a micromechanical model. Governing equations for TSSs are based on the classical thin shell theory taking into account geometrical nonlinearity and surrounding elastic medium. Three-term solution of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to obtain nonlinear load-deflection relation from which buckling loads and postbuckling equilibrium paths are determined. The effects of CNT volume fraction, distribution types, geometrical ratios and elastic foundation on the buckling and postbuckling behaviors of CNTRC TSSs are analyzed and discussed.

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“…Based on the CST, nonlinear equilibrium equations for a TSS surrounded by an elastic medium are [31]…”

Section: Formulationsmentioning

confidence: 99%

Section: Formulationsmentioning

confidence: 99%

Section: Formulationsmentioning

confidence: 99%

“…Eqs. (28) and (31) are used for postbuckling analysis of CNTRC TSSs under uniform external pressure.…”

Section: Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Tung

Hiếu

2018

Vietnam J. Mech.

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Thermal nonlinear stability of functionally graded porous material nearly cylindrical shells with surrounding elastic media and tangentially restrained edges

Trang

Tung

2022

Math Methods in App Sciences

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This paper aims to investigate the influences of surrounding elastic media and tangential edge constraints on the buckling and postbucking behaviors of nearly cylindrical shell (NCS) made of functionally graded porous material (FGPM) and subjected to uniform temperature rise. Three different types of porosity distributions are considered and assumed to be in forms of cosine functions of thickness variable. The volume fractions of material constituents are assumed to vary through the shell thickness according to power‐law functions. Temperature‐dependent material properties and elasticity of tangential constraints of boundary edges are included. Governing equations are established within the framework of classical shell theory taking into account von Kármán–Donnell nonlinearity and interactive pressure from surrounding elastic media. Multiterm analytical solutions for simply supported NCSs are assumed and Galerkin procedure is utilized to derive expressions of buckling load and nonlinear load–deflection relation. An iteration process is adopted to determine critical thermal loads and postbuckling temperature–deflection paths. Numerous parametric studies are carried out to assess many different effects on thermal buckling resistance and postbuckling load carrying capabilities. The study reveals that porosity and tangential edge constraint have beneficial and deteriorative influences on the thermal stability of the NCSs, respectively. Furthermore, the obtained results demonstrate that surrounding elastic media have significantly beneficial influences on the thermal nonlinear stability of FGPM NCSs.

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Recent developments in investigation on buckling and post buckling responses of laminated composite shells

Rajamohan

2017

Polymer Composites

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This paper presents the state of art in the field of composite shells with focus on stress analysis, buckling and post-buckling responses under mechanical and thermal loading. Many researchers have investigated the buckling and post-buckling responses of cylindrical, conical, spherical, thin and thick composite shells with single and doubly curved shells under mechanical and thermal loading. From the literature it can be inferred that hydrostatic pressure, axial compression and thermal environment influence the buckling behavior of laminated composite shell significantly. An effort is taken to review the research on buckling and postbuckling responses of cylindrical and conical shaped shells under mechanical and thermal loading and their behavior during buckling and post-buckling conditions. POLYM. COMPOS., 00:000-000,

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Post-buckling of sigmoid-functionally graded material toroidal shell segment surrounded by an elastic foundation under thermo-mechanical loads

Cited by 37 publications

References 27 publications

Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Thermal nonlinear stability of functionally graded porous material nearly cylindrical shells with surrounding elastic media and tangentially restrained edges

Recent developments in investigation on buckling and post buckling responses of laminated composite shells

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