Abstract
An improved model for bending of thin viscoelastic plate resting on Winkler foundation is presented. The thin plate is linear viscoelastic and subjected to normal distributed loading, the effect of normal stress along the plate thickness on the deflection and internal forces is taken into account. The basic equations for internal forces and stress distribution are derived based on the general viscoelastic theory under small deformation condition. The reduced equations for elastic case are given as well. It is shown that the proposed model reveals a larger flexural rigidity compared to that in classic models, in which the normal stress along the plate thickness is neglected.
Highlights
The analysis of soil-structure interaction has a wide range of applications in structural and geotechnical engineering, for instance, in highway asphalt pavement engineering, the pavement is usually treated as thin elastic/viscoelastic plate structure resting on elastic/viscoelastic foundation
We have derived in this paper the basic equations for bending of viscoelastic thin plate on Winkler foundation
The normal stress zz is assumed to be zero, which is the main characteristic of the plane stress state in classic elastic theory, and the corresponding classic bending model of thin elastic plate can be considered as a plane stress model
Summary
The analysis of soil-structure interaction has a wide range of applications in structural and geotechnical engineering, for instance, in highway asphalt pavement engineering, the pavement is usually treated as thin elastic/viscoelastic plate structure resting on elastic/viscoelastic foundation. Terials used for structures, e.g. asphalt layer of pavement structure, many works have been done to deal with the bending behaviour of thin viscoelastic plate on elastic/viscoelastic foundation. Most of such works utilized the models similar to those for bending of elastic plate. In the case of large lateral load subjecting to thin plate resting on a deformable foundation with relatively large rigidity, the bearing stresses along the plate thickness, zz , may not be ignored. We first seek to develop a modified Kirchhoff theory for thin viscoelastic plate resting on Winkler foundation, in which the effect of the lateral normal stress is considered. We reduce the obtained results to the problem of thin elastic plate resting on elastic foundation, and a different elastic flexural rigidity is obtained
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