Nonlinear wrinkling of a compressed film on a soft substrate in the presence of inhomogeneous swelling actuation strain caused by solvent diffusion is studied. The simulation relies on a continuum model which integrates phase field microelasticity and Föppl-von Kármán plate theory. We show that the wrinkling morphologies developed in the diffusive domain exceeding a critical compression are con...

A variety of statistically steady energy spectra in elastic wave turbulence have been reported in numerical simulations, experiments, and theoretical studies. Focusing on the energy levels of the system, we perform direct numerical simulations according to the Föppl-von Kármán equation, and successfully reproduce the variability of the energy spectra by changing the magnitude of external force ...

This article focuses on studying the nonlinear vibration of functionally graded (FG) curved nanobeams resting Pasternak-Winkler elastic foundation based nonlocal strain gradient theory along with first-order shear deformation beam (FSDBT) considering von-Kármán hypothesis. The Hamilton principle is applied to extract three motion equations and Galerkin method (GM) utilized spatially reduce diff...

We experimentally study the susceptibility to symmetry breaking of a closed turbulent von Kármán swirling flow from Re=150 to Re≃10⁶. We report a divergence of this susceptibility at an intermediate Reynolds number Re=Re(χ)≃90,000 which gives experimental evidence that such a highly space and time fluctuating system can undergo a "phase transition." This transition is furthermore associated wit...

We present an effective technique for suppressing the vortex-induced vibrations of bluff bodies by eliminating the von Kármán street formed in their wake. Specifically, we find that small amounts of combined windward suction and leeward blowing around the body modify the wake instability and lead to suppression of the fluctuating lift force. Three-dimensional simulations and stability analysis ...

Related Articles Numerical study on comparison of Navier-Stokes and Burgers equations Phys. Fluids 24, 055113 (2012) The importance of vortex bundles in quantum turbulence at absolute zero Phys. Fluids 24, 055109 (2012) Optimal transient disturbances behind a circular cylinder in a quasi-two-dimensional magnetohydrodynamic duct flow Phys. Fluids 24, 024105 (2012) Vortex-assisted figure-eight wi...

We show that the icosahedral packings of protein capsomeres proposed by Caspar and Klug for spherical viruses become unstable to faceting for sufficiently large virus size, in analogy with the buckling instability of disclinations in two-dimensional crystals. Our model, based on the nonlinear physics of thin elastic shells, produces excellent one-parameter fits in real space to the full three-d...

Both the local and global bifurcations of a parametrically and externally excited simply supported rectangular thin plate are analyzed. The formulas of the thin plate are derived from the von Kármán equation and Galerkin’s method. The method of multiple scales is used to find the averaged equations. The numerical simulation of local bifurcation is given. The theory of normal form, based on the ...

Imperfection sensitivity of large amplitude vibration of curved single-walled carbon nanotubes (SWCNTs) is considered in this study. The SWCNT is modeled as a Timoshenko nano-beam and its curved shape is included as an initial geometric imperfection term in the displacement field. Geometric nonlinearities of von Kármán type and nonlocal elasticity theory of Eringen are employed to derive govern...

Nonlinear bending of shear deformable nanobeams subject to a temperature field is investigated in this paper based on von Kármán type nonlinearity and nonlocal elasticity theory. By using the variational principle approach, new higher-order governing differential equations and the corresponding higher-order boundary conditions both in the transverse and axial directions are derived and discusse...