2017-Sustainable Industrial Processing Summit
SIPS 2017 Volume 6. Mathematics, Multiscale Mechanics, Coatings
| Editors: | Kongoli F, Masset P, Rokicki P |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2017 |
| Pages: | 142 pages |
| ISBN: | 978-1-987820-71-3 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Surface Stresses on the Size-dependent Behaviors of a Microplate
K.Y. Xu1; Yanmei Yue2;1SHANGHAI UNIVERSITY, Shanghai, China; 2SHANGHAI UNIVERSTIY, Shanghai, China;
Type of Paper: Regular
Id Paper: 37
Topic: 1
Abstract:
The present paper develops a size-dependent Kirchhoff microplate model with surface effects by using simplified strain gradient elasticity theory and modified surface elasticity theory. This new model is able to capture size-dependent behaviors and surface effects. The most noticeable difference of the proposed model from the existing plate models about micro-plates is that not only strain gradient and surface stress are taken into account, but also the surface-induced internal residual stresses are considered. Based on whether the plates having surface-induced internal residual stress or not, their governing equations have distinct differences. The new plate model is applied to analyze the size-dependent bending, buckling, and free vibration behaviors of simply supported Kirchhoff microplate. The influence of surface-induced internal residual stresses is explored in this paper as well. The numerical results reflect that when the simply supported microplates do not have surface-induced internal residual stresses, internal length scale and surface residual stress have significant influence on the bending, buckling, and free vibration behaviors of the microplates. However, when the simply supported microplates have nonzero surface-induced internal residual stresses, the effects of internal length scale and surface residual stress become very weak. It indicates that the effect of surface-induced internal residual stresses can counteract most of the effects of internal length scale and surface residual stress. Therefore, this work provides a more general model for the analysis of microplate problems.
Keywords:
Materials; Mechanics; Microscale; Surface;References:
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