Large Deflections of Viscoelastic Panels

Abstract

© 2019, Allerton Press, Inc. We study the problem of large (even postbuckling) deflections of viscoelastic panels under a transverse distributed load or a concentrated force, including panels that were preliminary bended by compression. Along with bending deformations, we take into account the transverse shear. We reduce the system of static and cinematic correlations in the elastic statement to a system of two nonlinear integro-differential equations with respect to the deflection and the thrust force and give results of numerical calculations for several examples. Since the creep in a fibrous material reveals itself mainly in displacements, one can generalize the obtained solution for linearly viscoelastic panels.