A thin rectangular viscoelastic orthotropic plate under transverse impuls loading

Abstract

An analytical solution of stress wave propagation in a thin rectangular viscoelastic plate with special orthotropy under transverse impulse loading is presented. The solution is based on the approximate theory of thin plates using the Kirchhoff and the Rayleigh corrections. Constitutive equations for two-dimensional linear viscoelastic Maxwell model of solid are derived using the superposition principle. Transverse impulse loading has been allowed to effect on an arbitrary point of the plate surface and it has general behaviour in time. Results in the form of displacement, velocities and stress components are obtained.