Nonlinear buckling and postbuckling of imperfect piezoelectric S-FGM circular cylindrical shells with metal–ceramic–metal layers in thermal environment using Reddy's third-order shear deformation shell theory

Khoa, Nguyen Dinh; Thiem, Hoang Thi; Duc, Nguyen Dinh

doi:10.1080/15376494.2017.1341583

Cited by 75 publications

(16 citation statements)

References 31 publications

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“…Properties of the FGM media are obtained according to the simple rule of mixtures, same as Equation . Here

T = T_{0} + Δ T

, and

Δ T

is the temperature rise from reference temperature T 0 at room temperature (300K).…”

Section: Resultsmentioning

confidence: 99%

“…In this study, except for Poisson's ratio which is assumed to be constant, the other temperature-dependent functionally graded material properties are assumed to be nonlinear functions of temperature and may be expressed by the following function [35,36] ( ) = 0 ( . [37][38][39][40][41][42][43][44][45][46][47][48][49][50] Here = 0 + Δ , and Δ is the temperature rise from reference temperature 0 at room temperature (300K). Also, ( = 0, ±1, 2, 3) are temperature-dependent coefficients of the FG material properties given by Table. 1.…”

Section: Resultsmentioning

confidence: 99%

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Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method

2018

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In the present investigation, geometrically nonlinear response of a shallow curved tube subjected to thermal loading is analyzed. The tube is made of a functionally graded material (FGM), where properties are distributed across the tube radius. Thermomechancal properties of the constituents are assumed to be temperature dependent. The simple case of uniform temperature rise loading is considered. A higher order displacement field is considered for the tube which satisfies the conditions of zero tangential tractions on the inner and outer surfaces of the tube. With the aid of von Kármán strain‐displacement relations, linear thermoelastic constitutive law, and Hamilton's principle the governing equations of the tube are obtained. These equations are reduced to new two coupled equations for the case of axially immovable tubes. These new equations are solved using the two step perturbation technique for pinned and clamped tubes. Closed form expressions are provided to estimate the deflections in the FGM temperature dependent curved tubes under uniform thermal load. The effect of boundary conditions, temperature dependency of material properties, and geometrical properties are discussed via numerical examples.

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“…Properties of the FGM media are obtained according to the simple rule of mixtures, same as Equation . Here

T = T_{0} + Δ T

, and

Δ T

is the temperature rise from reference temperature T 0 at room temperature (300K).…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method

2018

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“…Khoa et al. [22] used the TSDT for buckling and post buckling analysis of a cylindrical shell. It is subjected to the external pressure, axial pressure, and electrical load.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear vibrations of variable cross‐section beams using shear deformation theory

Sohani

Eipakchi

2021

Z Angew Math Mech

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In the present paper, the governing equations of a vibratory beam with moderately large deflection and arbitrary cross‐section are derived by using the first‐order shear deformation theory. The beam is homogenous, isotropic and it is subjected to the axial loads. The kinematic of the problem is according to the von‐Kármán strain‐displacement relations and the Hooke law is used as the constitutive equations. The partial differential governing equations describing the axial and transverse vibrations of homogeneous beams contain four coupled nonlinear equations with variable coefficients which are derived employing Hamilton's principle. The Galerkin method in conjunction with the perturbation technique is applied to obtain the linear natural frequencies. A parametric study is performed and the effects of different thickness functions such as linear, polynomial and trigonometric on the results are investigated. The non‐linear frequencies which contain the corrections on the linear frequencies are calculated. The corrected parts of the non‐linear frequencies are functions of the axial as well as the transverse amplitudes of the vibrations. The influences of the axial load and aspect ratio on the linear and non‐linear frequencies are studied too. To confirm the reliability of the vibration analysis carried out in the present paper, the analytical results are checked with the corresponding numerical results obtained from the finite element analysis. The numerical and analytical results are in a good agreement.

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“…Each model allows a vast range of analysis, and according to the type of the studied structure (thin, moderately thick or thick) and its applicability domain (linear, nonlinear, static, dynamic, free vibration, buckling or postbuckling), one can choose the appropriate model to assess the desired investigation. The detailed information on these models can be found in the literature [10,44,54,58,62,68]. The accuracy and computational costs of such models are still a great concern for many researchers, especially if the shell structure undergoes large displacements and finite rotations.…”

Section: Introductionmentioning

confidence: 99%

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

Trabelsi

Zghal

Dammak

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, we extend the Kirchhoff-Love model to thermal buckling and post-buckling analysis of functionally graded structures. The kernel idea of the proposed model consists of the consideration of large displacements and finite rotation to accurately model the thermal effects on buckling and post-buckling behavior of such structures. Both uniform and nonuniform temperature distributions are considered. Material properties of the FG structures are graded in the thickness direction and assumed to obey a power law distribution of the volume fraction of the constituents. The effectiveness and usefulness of the proposed model are highlighted through different numerical examples, and the effects of the volume fraction exponent, thermal loads, length-to-thickness ratio, boundary conditions and geometrical parameters on the buckling and post-buckling behavior of FGM structures are also examined.

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Nonlinear buckling and postbuckling of imperfect piezoelectric S-FGM circular cylindrical shells with metal–ceramic–metal layers in thermal environment using Reddy's third-order shear deformation shell theory

Cited by 75 publications

References 31 publications

Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method

Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method

Linear and nonlinear vibrations of variable cross‐section beams using shear deformation theory

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

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