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A size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates based on nonlocal strain gradient theory
https://orcid.org/0000-0001-6105-9311
https://orcid.org/0000-0002-2591-8075
Highlights: A novel size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates is developed. The generalized weak form formulation for magneto-electro-elastic functionally graded nanoplates is proposed. The magneto-electro-elastic model based on Maxwell’s equations is established. The proposed model can high-efficiently predict magnetical and electrical coupling characteristics and size effect. Some novel benchmark numerical results are illustrated and introduced.
Abstract In this paper, we introduce a novel size-dependent meshfree approach for analyzing free vibrations of magneto-electro-elastic (MEE) functionally graded (FG) nanoplates. This approach combines the nonlocal strain gradient theory (NSGT), the higher-order shear deformation theory (HSDT), and meshfree method for the first time. MEE materials are essentially mixed by the barium titanate and cobalt ferrite which are definitely coupled by both piezoelectric and piezomagnetic effects. Our approach captures both the nonlocal and strain gradient effects in nanoplates, which result in the reduced stiffness and increased stiffness, respectively, by adjusting two parameters. The kind of effective material properties of MEE-FG nanoplates are expressed using a power-law scheme. The coupled governing equations, based on the principle of extended virtual displacement, are solved using the moving Kriging (MK) meshfree method. Numerical examples are given to investigate the effect of geometrical parameters, initial electric voltage, power index, initial magnetic potential, strain gradient parameter, and nonlocal parameter on the natural frequency of MEE-FG nanoplates.
A size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates based on nonlocal strain gradient theory
https://orcid.org/0000-0001-6105-9311
https://orcid.org/0000-0002-2591-8075
Highlights: A novel size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates is developed. The generalized weak form formulation for magneto-electro-elastic functionally graded nanoplates is proposed. The magneto-electro-elastic model based on Maxwell’s equations is established. The proposed model can high-efficiently predict magnetical and electrical coupling characteristics and size effect. Some novel benchmark numerical results are illustrated and introduced.
Abstract In this paper, we introduce a novel size-dependent meshfree approach for analyzing free vibrations of magneto-electro-elastic (MEE) functionally graded (FG) nanoplates. This approach combines the nonlocal strain gradient theory (NSGT), the higher-order shear deformation theory (HSDT), and meshfree method for the first time. MEE materials are essentially mixed by the barium titanate and cobalt ferrite which are definitely coupled by both piezoelectric and piezomagnetic effects. Our approach captures both the nonlocal and strain gradient effects in nanoplates, which result in the reduced stiffness and increased stiffness, respectively, by adjusting two parameters. The kind of effective material properties of MEE-FG nanoplates are expressed using a power-law scheme. The coupled governing equations, based on the principle of extended virtual displacement, are solved using the moving Kriging (MK) meshfree method. Numerical examples are given to investigate the effect of geometrical parameters, initial electric voltage, power index, initial magnetic potential, strain gradient parameter, and nonlocal parameter on the natural frequency of MEE-FG nanoplates.
A size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates based on nonlocal strain gradient theory
https://orcid.org/0000-0001-6105-9311
https://orcid.org/0000-0002-2591-8075
Highlights: A novel size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates is developed. The generalized weak form formulation for magneto-electro-elastic functionally graded nanoplates is proposed. The magneto-electro-elastic model based on Maxwell’s equations is established. The proposed model can high-efficiently predict magnetical and electrical coupling characteristics and size effect. Some novel benchmark numerical results are illustrated and introduced.
Abstract In this paper, we introduce a novel size-dependent meshfree approach for analyzing free vibrations of magneto-electro-elastic (MEE) functionally graded (FG) nanoplates. This approach combines the nonlocal strain gradient theory (NSGT), the higher-order shear deformation theory (HSDT), and meshfree method for the first time. MEE materials are essentially mixed by the barium titanate and cobalt ferrite which are definitely coupled by both piezoelectric and piezomagnetic effects. Our approach captures both the nonlocal and strain gradient effects in nanoplates, which result in the reduced stiffness and increased stiffness, respectively, by adjusting two parameters. The kind of effective material properties of MEE-FG nanoplates are expressed using a power-law scheme. The coupled governing equations, based on the principle of extended virtual displacement, are solved using the moving Kriging (MK) meshfree method. Numerical examples are given to investigate the effect of geometrical parameters, initial electric voltage, power index, initial magnetic potential, strain gradient parameter, and nonlocal parameter on the natural frequency of MEE-FG nanoplates.
A size-dependent meshfree approach for magneto-electro-elastic functionally graded nanoplates based on nonlocal strain gradient theory
Thai, Chien H. (author) / Hung, P.T. (author) / Nguyen-Xuan, H. (author) / Phung-Van, P. (author)
Engineering Structures ; 292
2023-06-20
Article (Journal)
Electronic Resource
English
| British Library Online Contents | 2017
| British Library Online Contents | 2017
| British Library Online Contents | 2018