A review of size-dependent continuum mechanics models for micro- and nano-structures
- Vol. 170, pp 108562-108562
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TLDR
A detailed survey of the most significant literature on continuum mechanics models of micro-nano-structures can be found in this paper , which can orient researchers in their future studies in this field of research.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. read more
Citations
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Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this article, the buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed, and the Rayleigh-Ritz numerical solution method is used to solve the eigenvalue problem for various conditions.
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A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories
TL;DR: In this paper , the authors present a review of the literature on vibrational analysis of small-scale plate-based structures using non-local platebased theories and non-classical continuum elasticity theories.
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State-of-the-Art of Vibration Analysis of Small-Sized Structures by using Nonclassical Continuum Theories of Elasticity
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Size-dependent vibrations and waves in piezoelectric nanostructures: a literature review
TL;DR: In this article , the authors review the recent advances in understanding the size-dependent dynamic responses of piezoelectric nanostructures from the viewpoint of modified continuum mechanics.
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