期刊
MATERIALS RESEARCH EXPRESS
卷 5, 期 5, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/2053-1591/aabe62
关键词
Bi-directional functionally graded; cross section variation; modified couple stress theory; buckling; vibration; finite element
This study develops a comprehensive investigation on mechanical behavior of non-uniform bidirectional functionally graded beam sensors in the framework of modified couple stress theory. Material variation is modelled through both length and thickness directions using power-law, sigmoid and exponential functions. Moreover, beam is assumed with linear, exponential and parabolic cross-section variation through the length using power-law and sigmoid varying functions. Using these assumptions, a general model for microbeams is presented and formulated by employing Hamilton's principle. Governing equations are solved using a mixed finite element method with Lagrangian interpolation technique, Gaussian quadrature method and Wilson's Lagrangian multiplier method. It is shown that by using bi-directional functionally graded materials in nonuniform microbeams, mechanical behavior of such structures could be affected noticeably and scale parameter has a significant effect in changing the rigidity of nonuniform bi-directional functionally graded beams.
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