Thin plate theory including surface effects
TLDR
Lim et al. as discussed by the authors proposed a general thin plate theory including surface effects, which can be used for size-dependent static and dynamic analysis of plate-like thin film structures, and some numerical examples are provided to verify the validities of the theory.About:
This article is published in International Journal of Solids and Structures.The article was published on 2006-08-01 and is currently open access. It has received 382 citations till now. The article focuses on the topics: Plate theory & Bending of plates.read more
Citations
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Surface stress effect in mechanics of nanostructured materials
Jianxiang Wang,Zhuping Huang,Huiling Duan,Shou-Wen Yu,Xi-Qiao Feng,Gang-Feng Wang,Weixu Zhang,Tiejun Wang +7 more
TL;DR: In this paper, a review article summarizes the advances in the surface stress effect in mechanics of nanostructured elements, including nanoparticles, nanowires, nanobeams, and nanofilms, and heterogeneous materials containing nanoscale inhomogeneities.
Journal ArticleDOI
Non-local elastic plate theories
TL;DR: In this paper, a non-local plate model based on Eringen's theory of nonlocal continuum mechanics is proposed, which allows for the small-scale effect which becomes significant when dealing with micro-/nanoscale plate-like structures.
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The size-dependent vibration analysis of micro-plates based on a modified couple stress theory
TL;DR: In this paper, a variational approach based on Hamilton's principle is employed to obtain the governing equations of motion of micro-structures, and the effect of length scale parameter on the natural frequencies of the micro-plates is discussed.
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Free vibration of size-dependent Mindlin microplates based on the modified couple stress theory
TL;DR: In this paper, a modified couple stress model was developed for free vibration analysis of microplates. But the model is not suitable for the analysis of large-scale microstructures and it cannot describe the size effect that the classical Mindlin model is unable to describe.
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Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories
Reza Ansari,Saeid Sahmani +1 more
TL;DR: In this article, a non-classical solution is proposed to analyze bending and buckling responses of nanobeams including surface stress effects, and explicit formulas are proposed relevant to each type of beam theory to evaluate the surface stress effect on the displacement profile and critical buckling load of the nanobam.
References
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Nanobeam mechanics: Elasticity, strength, and toughness of nanorods and nanotubes
TL;DR: In this paper, the Young's modulus, strength, and toughness of nanostructures are evaluated using an atomic force microscopy (AFM) approach. And the results showed that the strength of the SiC NRs were substantially greater than those found previously for larger SiC structures, and they approach theoretical values.
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A continuum theory of elastic material surfaces
TL;DR: In this paper, a mathematical framework is developed to study the mechanical behavior of material surfaces, and the tensorial nature of surface stress is established using the force and moment balance laws using a linear theory with non-vanishing residual stress.
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Size-dependent elastic properties of nanosized structural elements
Ronald E. Miller,Vijay B. Shenoy +1 more
TL;DR: In this article, a simple model is constructed to predict the size dependence of the effective stiffness of the structural element, and the important length scale in the problem is identified to be the ratio of the surface elastic modulus to the elastic modulation of the bulk.
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Surface stress in solids.
Morton E. Gurtin,A. Ian Murdoch +1 more
TL;DR: In a recent paper as mentioned in this paper, a general theory of surface stress was presented and several simple solutions within this theory were discussed, e.g., a simple solution to the problem of surface compression.
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Cantilever transducers as a platform for chemical and biological sensors
TL;DR: In this article, the authors discuss sensors with transducers in a form of cantilevers, which are especially attractive as transducers for chemical and biological sensors, and provide a brief analysis of historical predecessors of the modern cantilever sensors.
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