000221977 001__ 221977
000221977 005__ 20180913063919.0
000221977 020__ $$a978-0-7918-5711-3
000221977 02470 $$2ISI$$a000379884000063
000221977 037__ $$aCONF
000221977 245__ $$aInvestigating The Size-Dependent Static And Dynamic Behavior Of Circular Micro-Plates Subjected To Capillary Force
000221977 269__ $$a2016
000221977 260__ $$bAmer Soc Mechanical Engineers$$c2016$$aNew York
000221977 300__ $$a11
000221977 336__ $$aConference Papers
000221977 520__ $$aThe size-dependent static deflection, pull-in instability and resonant frequency of a circular microplate under capillary force have been studied using modified couple stress elasticity theory. SiZe-dependency is a phenomenon in which the normalized quantities that classical elasticity theory predicts to be independent of the structure size, such as normalized deflection or normalized frequency, vary significantly as the structure size changes. This phenomenon has been observed in micro-scale structures such as micro-electro-mechanical-systems (MEMS). Since classical elasticity theory is unable to predict the size-dependency, non-classical elasticity theories such as modified couple stress theory have been developed recently. In this paper, modified couple stress theory is used for the first time to develop the governing equation and boundary conditions of circular microplates when subjected to capillary force. Consideration of capillary force is important since it is has a significant role in the mechanical behavior and stability of micro-scale structures in the presence of a liquid bridge. We investigated the static deflection and pull-in instability of microplates using the Galerkin method to assess the effect of size-dependency for static deflection. We observed that, as the ratio of the microplate thickness to length scale parameter (an additional material property suggested in modified couple stress theory to capture the size-dependency) decreases, the normalized deflection of the microplate also decreases. We further observed that the difference between the normalized deflection predicted by classical elasticity theory and the one evaluated using modified couple stress theory is significant when thickness of the microplate is small, but diminishes as thickness increases. Furthermore, we defined a dimensionless number called the dimensionless capillary tension (DCT) as a function of the mechanical, geometrical and size-dependent properties of the microplate as well as the characteristics of the liquid bridge such as the contact angle and the interfacial tension. We showed that for DCT values greater than a threshold evaluated in this paper, pull-in instability happens and the microplate collapses to the substrate. Moreover, we evaluated the size-dependent resonant frequency of the microplate under capillary force as a function of the DCT and obtained the result that the frequency decreases as DCT increases. In addition, our investigation of size-dependency revealed that as the ratio of the microplate thickness to length scale parameter increases, the frequency decreases in a way that for large values of, the ratio, it asymptotically approaches the value predicted by classical elasticity theory.
000221977 700__ $$0248571$$g201106$$uEPFL, Instant Lab, Microcity, Rue Malad 71b, CH-2000 Neuchatel, Switzerland$$aKahrobaiyan, M. H.
000221977 700__ $$0247151$$g225098$$uEPFL, Instant Lab, Microcity, Rue Malad 71b, CH-2000 Neuchatel, Switzerland$$aVardi, I.
000221977 700__ $$aAhmadian, M. T.
000221977 700__ $$0246629$$g101874$$uEPFL, Instant Lab, Microcity, Rue Malad 71b, CH-2000 Neuchatel, Switzerland$$aHenein, S.
000221977 7112_ $$dAugust 21-24, 2016$$cBoston, USA$$aASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference', u'ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference']
000221977 773__ $$tInternational Design Engineering Technical Conferences And Computers And Information In Engineering Conference, 2015, Vol 4$$qV004T09A008
000221977 909C0 $$xU12651$$0252479$$pINSTANT-LAB
000221977 909CO $$pconf$$pSTI$$ooai:infoscience.tind.io:221977
000221977 917Z8 $$x190047
000221977 937__ $$aEPFL-CONF-221977
000221977 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000221977 980__ $$aCONF