Static Bending Analysis of Nanobeam-Substrate Medium Systems Incorporating Mixture Stress-Driven Nonlocality, Surface Energy, and Substrate-Structure Interactions

Bibliographic Details
Title: Static Bending Analysis of Nanobeam-Substrate Medium Systems Incorporating Mixture Stress-Driven Nonlocality, Surface Energy, and Substrate-Structure Interactions
Authors: Suchart Limkatanyu, Worathep Sae-Long, Jaroon Rungamornrat, Nattapong Damrongwiriyanupap, Suraparb Keawsawasvong, Piti Sukontasukkul, Chayanon Hansapinyo
Source: Journal of Applied and Computational Mechanics, Vol 11, Iss 2, Pp 327-343 (2025)
Publisher Information: Shahid Chamran University of Ahvaz, 2025.
Publication Year: 2025
Collection: LCC:Mechanics of engineering. Applied mechanics
Subject Terms: mixture parameter, eringen’s integral elasticity, small-scale effect, bending analysis, surface-energy effect, Mechanics of engineering. Applied mechanics, TA349-359
More Details: This paper proposes a novel nonlocal beam-substrate model for the static bending analysis of a nanobeam system on a substrate medium. The proposed model incorporates the coupling interaction among nonlocality, surface energy, and substrate-structure interaction. The mixture stress-driven nonlocal model is used to capture the material’s small-scale effects inherent in micro- and nanoscale systems, resulting in well-posed micro- and nanostructure responses. The Gurtin-Murdoch continuum surface-energy model and the Winkler foundation model, which respectively represent size-dependent and substrate-structure interaction effects, are considered. The governing differential equation (GDE) and its relevant boundary conditions are derived based on the displacement-based principle. The analytical solutions are directly obtained from the GDE and employed to assess the bending responses. To demonstrate the impact of the mixture parameter, surface energy, and substrate-structure interaction on the static bending analysis of nanobeam systems, four numerical simulations are conducted. The first simulation validates the proposed nanobeam system by comparing it to experimental results, while the second simulation demonstrates the impact of surface energy and substrate-structure interaction on beam deflection. The third and fourth simulations analyze the impact of different system variables on the normalized transverse displacement and effective bulk Young's modulus (EBYM), respectively. The analysis results demonstrate that material nonlocality caused by the mixture parameter and length-scale parameter, as well as surface energy and substrate-structure interaction effects, impact the bending behaviors of the nanobeam systems.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 2383-4536
Relation: https://jacm.scu.ac.ir/article_19302_b7a20ad7131c1390a11303c90b700cac.pdf; https://doaj.org/toc/2383-4536
DOI: 10.22055/jacm.2024.47226.4679
Access URL: https://doaj.org/article/44ea7224d80447f786d34fe5f0a0e894
Accession Number: edsdoj.44ea7224d80447f786d34fe5f0a0e894
Database: Directory of Open Access Journals
More Details
ISSN:23834536
DOI:10.22055/jacm.2024.47226.4679
Published in:Journal of Applied and Computational Mechanics
Language:English