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| Thermal-mechanical buckling analysis of functionally graded micro plates using isogeometric finite element method |
| Received:April 02, 2019 Revised:August 18, 2019 |
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| DOI：10.7511/jslx20190402001 |
| KeyWord:thermal-mechanical buckling isogeometric finite element method functionally graded material modified couple stress theory size effect |
| Author | Institution |
| 邓阳 |
湘潭大学 机械工程学院, 湘潭 |
| 尹硕辉 |
湘潭大学 机械工程学院, 湘潭 |
| 赵子衡 |
湘潭大学 机械工程学院, 湘潭 |
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| Abstract: |
| Based on the modified couple stress theory (MCST) in conjunction with the Kirchhoff plate theory,an isogeometric finite element model for thermal-mechanical buckling analysis of functionally graded (FG) micro plates was presented.This model only had one material length scale parameter,which was able to capture the size effect,and satisfied the requirement of the MCST for high-order continuity.The principle of virtual work was employed to derive isogeometric finite element equations of the thermal-mechanical buckling of FG micro plates.In order to investigate the effects of the material scale parameter,the aspect ratio and the gradient index on the thermal-mechanical stability of FG micro plates,a typical FG micro plates under thermal-mechanical loads was taken as an illustrative example.The results reveal that the critical buckling predicted by the present method is larger than that of the classical one,which means the size effect can be captured;with the increase of the critical mechanical load,the critical thermal load is decreasing linearly.Meanwhile,the aspect radio and the gradient index also have some effects on the stability of micro plates. |
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