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| Size-dependent buckling analysis of plane orthotropic functionally graded micro-beams |
| Received:May 31, 2018 Revised:July 10, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180531002 |
| KeyWord:new modified couple stress theory functionally graded materials scale effect material length scale parameters buckling load |
| Author | Institution |
| 张春浩 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
| 张东 |
北京宇航系统工程研究所, 北京 |
| 贺丹 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
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| Abstract: |
| A model for the buckling analysis of functionally graded (FG) micro-beams is developed.In consideration of the plane ortho-anisotropy and the size effect of FG beams,the formulation is developed on the new modified couple stress theory.The model contains two material length scale parameters which are capable to separately represent the different scale effects in two orthogonal directions.A variational formulation based on the principle of minimum total potential energy is employed.A simply supported micro-beam is taken as an illustrative example and solved.When the beam thickness is small the results manifest that the buckling loads predicted by the new model are much higher than those predicted by the classical model.When the geometrical size of the beam is much larger than the material length scale parameters the present model degenerates to the classical macroscopic model.The scale effects influenced by the material length scale parameters in two directions are different. |