An elastic membrane subject to an external pressure and electrostatic force is considered. The resulting elliptic problem is analyzed for the strip and disk geometry. The structure of the solution set is explored with the aid of phase plane techniques, perturbation methods, and bifurcation analysis. In each case, the stability of the solution is determined using linear stability theory with the...

In this paper we study the asymptotic behavior of two-dimensional transmission problems for the linear Koiter model of an elastic multi-structure composed of two thin shells with the same thickness ε 1. Contrary to the case of membrane shells, the formal limit problem, i.e., for ε = 0, fails to give a convenient approximate solution, as the limit problem is ill posed. An appropriate dilation le...

The coupling of electric fields and charges with membrane-water interfacial fluctuations affects membrane electroporation, ionic conductance, and voltage gating. A modified continuum model is introduced to study charge interaction with membrane-water interfacial fluctuations in multidielectric environments. By surrounding a point charge with a low dielectric sphere, the linear Poisson-Boltzmann...

In this work a new solution to the hard problem of consciousness using multidimensional approach [1-3] is proposed. It is shown that our perceptions may be interpreted as elastic oscillations of a two dimensional membrane with closed topology embedded in our brains. According to the model our universe is also a three dimensional elastic membrane embedded into the higher dimensional space-time. ...

This paper investigates controlled elastic deflection of thin circular space reflectors using an inverse problem approach to non-linear thin membrane theory. When changing the surface reflectivity across the membrane, the distributed loads due to ambient solar radiation pressure can be manipulated optically, thus controlling the surface shape without using mechanical or piezo-electric systems. ...

This paper presents a detailed experimental study of the evolution and shape of reversible corrugations, or wrinkles, in initially flat, linear-elastic and isotropic thin foils subject to in-plane loads. Two sets of experiments were carried out, on a rectangular membrane under simple shear and on a square membrane subjected to two pairs of equal and opposite diagonal forces at the corners. Sali...

In this article, based on the Euler-Bernoulli beam theory, the large-amplitude vibration of multiwalled carbon nanotubes embedded in an elastic medium is investigated. The method of incremental harmonic balance is implemented to solve the set of governing nonlinear equations coupled via the van der Waals (vdW) interlayer force. The influences of number of tube walls, the elastic medium, nanotub...

For spectrophotometric analysis of Hg (II) ions, we have used and compared two membranes preparation methods using different polymer; one is poly(vinyl chloride) (PVC) and the other is triacetylcellulose (TAC). In the case of TAC membrane, it was treated with a ligand solution (1.166 × 10-3 mole L-1) in ethylenediamine at the ambient temperature for almost 2-5 min. However, in the case of PVC m...