期刊
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
卷 13, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1758825121500575
关键词
Timoshenko beam; functionally graded material; strain gradient; couple stress; velocity gradient
类别
资金
- National Key R&D Program of China [2018YFD1100401]
- National Natural Science Foundation of China [12002086, 11872149, 11772091]
A new functionally graded non-classical Timoshenko microbeam model has been developed, incorporating strain gradient, couple stress, and velocity gradient effects to explain power-law variation in two-phase materials. The model demonstrates significant differences from classic models when the FGM beam thickness is very small, but these differences diminish as thickness increases.
A new functionally graded non-classical Timoshenko microbeam model is developed by using a variational formulation. The new model incorporates strain gradient, couple stress (rotation gradient) and velocity gradient effects and explains a power-law variation of two-phase materials through the thickness direction. The new model contains three additional material constants to account for the relative three gradient effects. The static bending, buckling and free vibration problems of the newly developed functionally graded material (FGM) beam are then analytically solved. Numerical results show that the differences between the prediction results of the current model and the classic model are significant when FGM beam thickness is very small, but they are diminishing as the thickness increases.
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