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Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

机译：基于改进的耦合应力理论的功能梯度夹层微束的尺寸相关行为

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Static bending, buckling and free vibration behaviors of size-dependent functionally graded (FG) sandwich microbeams are examined in this paper based on the modified couple stress theory and Timoshenko beam theory. To avoid the use of a shear correction factor, equilibrium equations were used to compute the transverse shear force and shear stress. Two types of sandwich beams were considered: (I) homogeneous core and FG skins and (2) FG core and homogeneous skins. Numerical results were presented to illustrate the small scale effects on the behaviors of FG sandwich beams. The results reveals that the inclusion of the size effects results in an increase in the beam stiffness, and consequently, leads to a reduction of deflections and stresses and an increase in natural frequencies and critical buckling loads. Such effects are more pronounced when the beam depth was small, but they become negligible with the increase of the beam depth. (C) 2014 Elsevier Ltd. All rights reserved.
机译：基于改进的耦合应力理论和Timoshenko梁理论，研究了尺寸相关的功能梯度（FG）夹层微梁的静态弯曲，屈曲和自由振动行为。为了避免使用剪力校正因子，使用了平衡方程来计算横向剪力和剪应力。考虑了两种类型的夹层梁：（I）均质芯和FG蒙皮，以及（2）FG芯及均质皮。数值结果表明了小尺度效应对FG夹层梁的行为。结果表明，包含尺寸效应会导致梁刚度的增加，从而导致挠度和应力的减少以及自然频率和临界屈曲载荷的增加。当光束深度较小时，这种影响更加明显，但是随着光束深度的增加，这些影响可以忽略不计。 （C）2014 Elsevier Ltd.保留所有权利。

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