Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions

Yang, Chuang; Yu, Jiangong; Liu, Cancan; Zhou, Hongmei; Zhang, Xiaoming

doi:10.1007/s00707-023-03636-w

Acta Mech

2023

DOI: 10.1007/s00707-023-03636-w

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Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions

Chuang Yang

Jiangong Yu

Cancan Liu

et al.

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Cited by 4 publications

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An asymptotic formulation for boundary value problems in a non-local elastic half-space

Şahin

2024

Acta Mech

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The primary purpose of this study is to develop an asymptotic formulation for boundary value problems in a non-local elastic half-space. For the sake of simplicity, the non-locality is limited to the vertical direction, which is represented by a one-dimensional exponential kernel, and the problem is formulated within the framework of Eringen’s theory. The proposed asymptotic approach is based on the assumption that the internal characteristic length is significantly smaller than a typical wavelength. This assumption allows for the development of an asymptotic formulation that expresses the considered boundary value problem in terms of local stresses. Additionally, the formulation includes explicit correction terms to the classical boundary conditions, which arise from the non-local effects. As an example application of the derived formulation, the Rayleigh surface waves in a plane strain problem are considered. Finally, numerical results are presented for certain specific values of elastic parameters to illustrate the effects of non-locality on the analyzed system.

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An asymptotic formulation for boundary value problems in a non-local elastic half-space

Şahin

2024

Acta Mech

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Unified micromechanics of magnetoelectric fibrous, particulate, and laminated composite materials

Lin

2025

International Journal of Mechanical Sciences

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Analytical study on transverse behaviour of Love-type waves in a corrugated cylindrical composite structure: A perturbation theory

Mahanty,

Kumar,

Singh

et al. 2024

International Journal of Non-Linear Mechanics

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Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions

Cited by 4 publications

References 50 publications

An asymptotic formulation for boundary value problems in a non-local elastic half-space

An asymptotic formulation for boundary value problems in a non-local elastic half-space

Unified micromechanics of magnetoelectric fibrous, particulate, and laminated composite materials

Analytical study on transverse behaviour of Love-type waves in a corrugated cylindrical composite structure: A perturbation theory

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