Electro-thermo-torsional buckling of an embedded armchair DWBNNT using nonlocal shear deformable shell model

Arani, A. Ghorbanpour; Abdollahian, M.; Kolahchi, Reza; Rahmati, A.H.

doi:10.1016/j.compositesb.2013.03.017

Cited by 38 publications

(7 citation statements)

References 25 publications

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“…The coordinate (x,θ,z), where x , θ, and z denote the axial, circumferential, and radial directions, respectively, is used. Based on MCST, the governing equations of an embedded visco-carotid artery may be expressed as 20 where u , v , and w are displacement components of the mid-plane in the axial, circumferential, and radial directions, respectively; φx and φθ are the rotations of a transverse normal about the axial and circumferential directions; k is shear correction factor; and Aij, Dij (i,j=1,2,…,6) may be expressed as where Cij is the elastic constant. According to Kelvin–Voigt model, 21 in real life carotid arterial properties depend on the time variation.…”

Section: A Biomechanical Model For Carotid Arteriesmentioning

confidence: 99%

“…Note that the motions equations are obtained based on Hamilton’s principal also which details are presented in previous work of authors. 20 Integrate from equations (27) to (29) across the thickness to drive the viscosity terms. 27 Finally, the motion equations of carotid arteries conveying pulsating blood flow may be written as …”

Section: A Biomechanical Model For Carotid Arteriesmentioning

confidence: 99%

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Non-Newtonian pulsating blood flow-induced dynamic instability of visco-carotid artery within soft surrounding visco-tissue using differential cubature method

Arani

Kolahchi

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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The high blood rate that often occurs in carotid arteries may play a role in artery failure and tortuosity which leads to blackouts, transitory ischemic attacks, and other diseases. However, dynamic analysis of carotid arteries conveying blood is lacking. The objective of this study was to present a biomechanical model for dynamic instability analysis of the embedded carotid arteries conveying pulsating blood flow. In order to present a realistic model, the carotid arteries and tissues are assumed viscoelastic using Kelvin–Voigt model. Carotid arteries are modeled as elastic cylindrical vessels based on Mindlin cylindrical shell theory (MCST). One of the main advantages of this study is considering the pulsating non-Newtonian nature of the blood flow using Carreau, Casson, and power law models. Applying energy method, Hamilton’s principle and differential cubature method (DCM), the dynamic instability region (DIR) of the visco-carotid arteries is obtained. The detailed parametric study is conducted, focusing on the combined effects of the elastic medium and non-Newtonian models on the dynamic instability of the visco-carotid arteries. It can be seen that with increasing the tissue stiffness, the natural frequency of visco-carotid arteries decreases. The current model provides a powerful tool for further experimental investigation about arterial tortuosity.

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Section: A Biomechanical Model For Carotid Arteriesmentioning

confidence: 99%

Section: A Biomechanical Model For Carotid Arteriesmentioning

confidence: 99%

Non-Newtonian pulsating blood flow-induced dynamic instability of visco-carotid artery within soft surrounding visco-tissue using differential cubature method

Arani

Kolahchi

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Buckling and postbuckling behaviors of closed structures in the form of cylindrical and conical shells made of nanocomposites have been addressed in various works. 25–38 Shen 25,26 dealt with postbuckling behavior of simply supported CNTRC cylindrical shells under axial compression and external pressure. He also treated the postbuckling problem of CNTRC cylindrical shells subjected to thermal load and torsional load in works of Shen, 27,28 respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Based on nonlocal elasticity and piezoelasticity theories, Ghorbanpour Arani et al. 33,34 investigated the buckling response of cylindrical shells with piezoelectric layers reinforced by DWBNNTs and subjected to axial and torsional loads. These works also take into account the effects of thermal environments and surrounding elastic medium on critical loads of nanocomposite cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical nonlinear buckling of pressure-loaded carbon nanotube reinforced composite toroidal shell segment surrounded by an elastic medium with tangentially restrained edges

Hiếu

Tung

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Buckling and postbuckling behaviors of toroidal shell segment reinforced by single-walled carbon nanotubes, surrounded by an elastic medium, exposed to a thermal environment and subjected to uniform external pressure are investigated in this paper. Carbon nanotubes are reinforced into matrix phase by uniform distribution or functionally graded distribution along the thickness direction. Material properties of constituents are assumed to be temperature dependent, and the effective properties of carbon nanotube reinforced composite are estimated by extended mixture rule through a micromechanical model. Governing equations for toroidal shell segments are based on the classical thin shell theory taking into account geometrical nonlinearity, surrounding elastic medium, and varying degree of tangential constraints of edges. Three-term solution of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to derive nonlinear load–deflection relation from which buckling loads and postbuckling equilibrium paths are determined. Analysis shows that tangential edge restraints have significant effects on nonlinear buckling of carbon nanotube reinforced composite toroidal shell segments. In addition, the effects of carbon nanotube volume fraction, distribution types, geometrical ratios, elastic foundation, and thermal environments on the buckling and postbuckling behaviors of carbon nanotube reinforced composite toroidal shell segments are analyzed and discussed.

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“…PVDF is an ideal piezoelectric matrix owing to characteristics including flexibility in thermoplastic conversion techniques, excellent dimensional stability, abrasion and corrosion resistance, high strength, and capability of maintaining its mechanical properties at elevated temperature. Analysis of smart structures has been an active area of research in the past decade . Salehi‐Khojin and Jalili investigated the buckling of BNNTs in a PVDF elastic medium subjected to combined electro‐thermo‐mechanical loadings.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory

2014

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Electro-thermo-mechanical nonlinear vibration and instability of a fluid conveying smart composite microtube made of polyvinylidene fluoride (PVDF) are investigated in this article based on the modified couple stress theory and Timoshenko beam model. The composite matrix is reinforced by double-walled boron nitride nanotubes (BNNTs). Mechanical, electrical, and thermal characteristics of equivalent composite are determined based on micromechanical model. The surrounded elastic medium is taken into account using Winkler and Pasternak models. Considering the smallsize effects and slip boundary conditions of microflow through Knudsen number and applying Hamilton's principle, the coupled differential equations, containing displacement and electric potential terms, are obtained. The differential quadrature method is applied to discretize the coupled governing equations and boundary conditions, which are then solved to obtain the nonlinear frequency and critical fluid velocity of the fluid-conveying microtube. The detailed parametric study is conducted, focusing on the combined effects of the Knudsen number, nonlocal parameter, BNNT volume percent, temperature change, elastic medium, and aspect ratio on the nonlinear frequency and critical fluid velocity. Results indicate that the natural frequency and the critical fluid velocity of the smart composite microtube increase with increasing the small-scale parameter. POLYM. COMPOS., 36:1314-1324, 2015

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Electro-thermo-torsional buckling of an embedded armchair DWBNNT using nonlocal shear deformable shell model

Cited by 38 publications

References 25 publications

Non-Newtonian pulsating blood flow-induced dynamic instability of visco-carotid artery within soft surrounding visco-tissue using differential cubature method

Non-Newtonian pulsating blood flow-induced dynamic instability of visco-carotid artery within soft surrounding visco-tissue using differential cubature method

Thermomechanical nonlinear buckling of pressure-loaded carbon nanotube reinforced composite toroidal shell segment surrounded by an elastic medium with tangentially restrained edges

Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory

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