Influences of surface effects on bending of nanoplates with complex elastic boundary supports: A BE-RBFs method
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Publication Details
Author list: Chinnaboon, B.; Panyatong, M.; Chucheepsakul, S.
Publisher: Elsevier
Publication year: 2026
Journal: Computers & Mathematics with Applications (0898-1221)
Volume number: 202
Start page: 170
End page: 195
Number of pages: 26
ISBN: 80302548
ISSN: 0898-1221
eISSN: 1873-7668
Languages: English-Great Britain (EN-GB)
Abstract
This paper presents a comprehensive study on bending behavior of shear-deformable nanoplates with elastic boundary supports, emphasizing the critical role of surface effects as described by the Gurtin-Murdoch surface elasticity theory. While previous studies have typically assumed conventional boundary conditions, this research addresses a critical knowledge gap by systematically analyzing the combined effects of surface elasticity and elastic boundary supports. To address the computational challenges posed by complex geometries and boundary conditions, a coupled Boundary Element-Radial Basis Functions (BE-RBFs) method has been developed based on the well-established Analog Equation Method (AEM). The proposed numerical approach efficiently solves the governing equations for nanoplates, providing a powerful alternative to traditional methods that often rely on domain discretization. The results reveal that surface elastic constants and residual surface stress significantly influence nanoplate deflection and bending moments. Furthermore, the analysis of shear deformation and elastic boundary support effects demonstrates that surface properties strongly affect structural stiffness, particularly at the nanoscale. These findings establish a more realistic and comprehensive model for nanoplate analysis, thereby offering critical insights for the design of high-performance NEMS. © 2025 Elsevier Ltd.
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