Single-scan elastic property estimation in plates

On Bending of Elastic Plates*

Edge layers in thin elastic plates

Monique DAUGE and Isabelle GRUAIS Abstract. This paper deals with the asymptotics of the displacement of a thin elastic plate when it is submitted to various boundary conditions on its lateral face: namely, hard and soft clamped conditions, and hard support. Of particular interest is the in uence of the edges of the plate where boundary conditions of di erent types meet. The singular perturbati...

Shear horizontal elastic solitons in crystal plates

The effect of nonlinearity on the propagation of shear horizontal elastic waves in crystal plates is analysed in the framework of Maradudin’s equations. It is demonstrated that in the plates it is possible to have propagation of bright and dark solitons of the shear horizontal polarization, and the influence of the plate properties on their parameters is studied. The condition to create dark so...

Instability of Accelerated Elastic Metal Plates

When subjected to rapid acceleration, a metal plate that is not perfectly at displays a type of Rayleigh-Taylor instability, which is aaected by shear strength. We investigate the initial stage of this instability assuming that the deviation from atness is small and the pressure producing the acceleration is moderate. Under these assumptions, the plate can be modeled as elastic and incompressib...

Stamping and wrinkling of elastic plates.

We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a minimum when the amplitude is of the order of the thickness of the plate. The force required for compressing the wrinkled plate presents a maximum independent of the thickness. A model is derived and verified experim...