Wave propagation in rotating elastic solid

Abstract

Институт гидродинамики им. М А. Лаврентьева СО РАН, Новосибирск, 630090, Россия Рассматривается задача о распространении зон пластического состояния в безграничной среде от границы выпуклой поверхности, на которой действуют нормальное давление, касательные усилия и заданные скорости перемещений. В случае полной пластичности система квазистатических уравнений идеальной пластичности Треска, описывающих напряженно-деформированное состояние среды, является гиперболической. Для численного решения этой системы предложена разностная схема, применяемая для гиперболических систем законов сохранения.The problem of propagation of plastic zones in an unbounded medium from the boundary of a convex surface under normal pressure, tangential forces and given velocities is studied. When the medium is in the state of full plasticity, the system of quasistatic ideal plasticity Tresca equations describing the stress-strain state is hyperbolic. The difference scheme applied to hyperbolic systems of equations is proposed for the numerical solution of this system.

The Sensitive Element of Acoustic Sensor on Circular Polarized Waves: From Theoretical Considerations towards Perspective Rotation Rate Sensors Design

“…Since the wave is transverse, and the oscillatory process takes place in an isotropic medium, the displacement vector ξ is perpendicular to the wave vector k. A scientific group of authors previously suggested using this effect to create a new class of solid-state RRS. The principles of its SE construction are based on the amplitude method of revealing the informative signal and imply detecting the polarization vector rotation of the emitted transverse BAW [15,16].…”

“…In [ 15 ] an analysis was performed of both BAW and SAW propagating in an elastic medium rotating at a constant angular velocity. The authors concluded that, under such conditions, BAW of pure linear polarization cannot propagate, and the phase velocity of SAW depends on the angular velocity of medium rotation.…”

The Effect of a Rotating Medium on Bulk Acoustic Wave Polarization: From Theoretical Considerations to Perspective Angular Motion Sensor Design

“…In [14], an analysis was performed of both BAW and SAW propagating in an elastic medium rotating at a constant angular velocity. The authors concluded that under such conditions, BAW of pure linear polarization cannot propagate, and the phase velocity of SAW depends on the angular velocity of medium rotation.…”