In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under general finite strain are derived using variational approach. The solved the compound matrix method two cases of axisymmetric growth conditions – purely radial, and combined radial circumferential growth. effect on buc...

Generalized formulation is developed analytically to calculate the transmission loss performance of a silencer by using multiple micro-perforate panel (MPP) array silencers in ventilation duct system. The device, based on single MPP design, consists of different expansion chambers with the side-branch cavities covered by micro-perforate panels of different properties. The theoretical model can ...

A new broadband wide-view circular polarizer is proposed for high transmittance multi-domain vertical-alignment liquid crystal displays (MVA LCDs). This configuration only requires one biaxial plate in the conventional circular polarizer. The optimal film parameters are obtained analytically through spherical trigonometric method on the Poincaré sphere and through computer-aided parameter searc...

In general, superbiharmonic functions do not satisfy a minimum principle like superharmonic functions do, i.e., functions u with 0 ≡ ∆u ≥ 0 may have a strict local minimum in an interior point. We will prove, however, that when a superbiharmonic function is defined on a disk and additionally subject to Dirichlet boundary conditions, it cannot have interior local minima. For the linear model of ...

Normalized mutual power of radiation, active and reactive, has been analyzed in this paper. The sound source is an annular plate, clamped to a planar, rigid and infinite baffle. The plate’s vibrations are axisymmetric and sinusoidal with respect to time. A Kirchhoff-Love’s model of a perfectly elastic plate has been used. First, the integral formulas for the mutual sound power have been present...

It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave in a straight-edged, semi-infinite, thin plate, a wave which it mimics when the curvature radius becomes very large compared to the wavelength.