Journal
JOURNAL OF THERMAL STRESSES
Volume 40, Issue 6, Pages 665-689Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01495739.2016.1258602
Keywords
Differential quadrature method; functionally graded microbeam; nonlinear temperature distribution; size effects; temperature-dependent properties; thermal buckling and vibration
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Funding
- National Natural Science Foundation of China [11272131, 11472114]
- Natural Science Foundation of Hubei Province [2015CFB394]
- Fundamental Research Funds for the Central Universities, HUST [2015QN138]
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Thermal buckling and vibration of functionally graded (FG) sinusoidal microbeams with temperature-dependent properties and three kinds of temperature distributions are investigated in this article. As one material length scale is introduced, the modified couple stress theory is capable of predicting the small-scale effects. Material properties of FG microbeams are calculated using the Mori-Tanaka method. Furthermore, temperature-dependent properties are taken into account to investigate the mechanical characteristics of FG microbeams in high-thermal-gradient environment. Motion equations and the associated boundary conditions are obtained simultaneously through variational principle. Then Navier procedure and the differential quadrature method incorporating an iterative procedure are used to solve the governing differential equations with temperature-dependent properties and general boundary conditions. Numerical examples are performed for demonstrating the influences of temperature distribution, beam thickness, material length scale, slenderness ratio, shear deformation, functionally graded index, boundary conditions, and temperature-dependent/independent properties on thermal buckling and free vibration behaviors of FG microbeams.
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