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By adapting the Föppl-von Kàrmàn equation, which describes the deformation of a thin elastic membrane, we present an analysis of the buckling pattern of a thin, very viscous fluid layer subject to shear in an axisymmetric geometry. A linear stability analysis yields a differential eigenvalue...
High aspect ratio microelectromechanical structures have been found, in the literature, to collapse due to capillary forces of liquids. In this dissertation, mathematical models are developed to study (i) the collapse of a microstructure represented by a double cantilevered beam (DCB) with a free...