A review of size-dependent continuum mechanics models for micro- and nano-structures. (January 2022)

• Record Type: Journal Article
• Authors: Roudbari, Mir Abbas; Jorshari, Tahereh Doroudgar; Lü, Chaofeng; Ansari, Reza; Kouzani, Abbas Z.; Amabili, Marco
• Is Part Of: Thin-walled structures. Volume 170(2022)
• Publication Date: 2022-01
• Subjects: Continuum mechanics -- Different size-dependent theories -- Vibration -- Wave propagation -- Buckling; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2021.108562
• Languages: English
• ISSNs: 0263-8231

Abstract

Abstract: Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing debate, which leads to a fundamental question: what steps can be taken to investigate the mechanical characteristics of these structures, and characterize their performance? From the standpoint of the non-classical behavior of materials, size-dependent theories of micro-/nano-structures can be considered to analyze their mechanical behavior. The application of classical theories in the investigation of small-scale structures can lead to inaccurate results. Many studies have been published in the past few years, in which continuum mechanics models have been used to investigate micro-/nano-structures with different geometry such as rods, tubes, beams, plates, and shells. The mechanical behavior of these systems under different loading – resulting in vibration, wave propagation, bending, and buckling phenomena – is the focus of the review covered in this work. The present objective is to provide a detailed survey of the most significant literature on continuum mechanics models of micro-/nano-structures, and thus orient researchers in their future studies in this field of research. Highlights: Size-dependent continuum mechanics models for micro/nano-structures are reviewed. Vibration, wave propagation, and buckling/post-buckling analysis are thoroughly discussed. Classification of the problems in linear and nonlinear models. Providing a detailed survey to help researchers in their future studies in this field.