Wave propagation characteristics in magneto-electro-elastic nanoshells using nonlocal strain gradient theory

Ma, Li-Hong; Ke, Liao-Liang; Reddy, J. N.; Yang, Jie; Kitipornchai, S.; Wang, Yue‐Sheng

doi:10.1016/j.compstruct.2018.05.061

Cited by 65 publications

(19 citation statements)

References 41 publications

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“…Considering gradients in the stress, electric displacement and magnetic induction by introducing one scale parameter, magneto-electro-elastic coupling has been analysed based on Eringen's nonlocal theory [36,37,38]. Furthermore, an additional scale parameter can be added to account for gradients in the conjugated variables of strain, electric field and magnetic field, again based on Eringen's theory [39,40,41,42,43]. However, in the referred studies the three coupled physical fields are all equipped with the same length scale.…”

Section: Introductionmentioning

confidence: 99%

Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics

Askes

Gitman

2019

Wave Motion

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Section: Introductionmentioning

confidence: 99%

Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics

Askes

Gitman

2019

Wave Motion

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“…Replacing components of the displacement field in equation (2), the components of the linear strain of the shell are derived as follows (Ma et al, 2018)…”

Section: The Equations Of Motionmentioning

confidence: 99%

“…where c ijkl , q nij , and r in are the elastic, piezomagnetic, and magnetic constants, respectively. The magnetic field (H x H z H u ) can be written as follows (Ma et al, 2018)…”

Section: The Equations Of Motionmentioning

confidence: 99%

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

Mahinzare

Akhavan

Ghadiri

2020

Journal of Intelligent Material Systems and Structures

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In this article, a first-order shear deformable model is expanded based on the nonlocal strain gradient theory to vibration analysis of smart nanostructures under different boundary conditions. The governing equations of motion of rotating magneto-viscoelastic functionally graded cylindrical nanoshell in the magnetic field and corresponding boundary conditions are obtained using Hamilton’s principle. To discretize the equations of motion, the generalized differential quadrature method is applied. The aim of this work is to investigate the effects of the temperature changes, nonlocal parameter, material length scale, viscoelastic coefficient, various boundary conditions, and the rotational speed of this smart structure on natural frequencies of rotating cylindrical nanoshell made of magneto-viscoelastic functionally graded material.

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“…Moreover, by using NSGT and first-order shear deformation shell theory, the free and forced vibrations of porous FG cylindrical nanoshells were studied by Barati [40] and Faleh et al [41] , respectively. In another work, Ma et al [42] investigated the wave propagation characteristics in magneto-electro-elastic nanoshells within the framework of NSGT.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

Zhu

Guo

et al. 2019

Appl. Math. Mech.-Engl. Ed.

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In this paper, a novel size-dependent functionally graded (FG) cylindrical shell model is developed based on the nonlocal strain gradient theory in conjunction with the Gurtin-Murdoch surface elasticity theory. The new model containing a nonlocal parameter, a material length scale parameter, and several surface elastic constants can capture three typical types of size effects simultaneously, which are the nonlocal stress effect, the strain gradient effect, and the surface energy effects. With the help of Hamilton’s principle and first-order shear deformation theory, the non-classical governing equations and related boundary conditions are derived. By using the proposed model, the free vibration problem of FG cylindrical nanoshells with material properties varying continuously through the thickness according to a power-law distribution is analytically solved, and the closed-form solutions for natural frequencies under various boundary conditions are obtained. After verifying the reliability of the proposed model and analytical method by comparing the degenerated results with those available in the literature, the influences of nonlocal parameter, material length scale parameter, power-law index, radius-to-thickness ratio, length-to-radius ratio, and surface effects on the vibration characteristic of functionally graded cylindrical nanoshells are examined in detail.

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Wave propagation characteristics in magneto-electro-elastic nanoshells using nonlocal strain gradient theory

Cited by 65 publications

References 41 publications

Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics

Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

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