Abstract
Analytical solutions for the rotating variable-thickness inhomogeneous, orthotropic, hollow cylinders under plane strain assumption are developed in Part I of this paper. The extensions of these solutions to the viscoelastic case are discussed here. The method of effective moduli and Illyushin's approximation method are used for this purpose. The rotating fiber-reinforced viscoelastic homogeneous isotropic hollow cylinders with uniform thickness are obtained as special cases of the studied problem. Numerical application examples are given for the dimensionless displacement of and stresses in the different cylinders. The influences of time, constitutive parameter and elastic properties on the stresses and displacement are investigated.
Highlights
In recent years the subject of viscoelasticity has received considerable attention from analysts and experimentalists
A modified numerical method is introduced by Ting and Tuan [3] to study the effect of cyclic internal pressure on the stress and temperature distributions in a viscoelastic cylinder
The displacement and stresses for rotating fiberreinforced viscoelastic inhomogeneous orthotropic hollow cylinder with variable thickness and density subjected to various boundary conditions are obtained
Summary
In recent years the subject of viscoelasticity has received considerable attention from analysts and experimentalists. Allam and Appleby [10] have used the realization method of elastic solutions to solve the problem of bending of a viscoelastic plate reinforced by unidirectionally elastic fibers. In other work [11], they have used the method of effective moduli to determine the stress concentrations around a circular hole or circular inclusion in a fiber-reinforced viscoelastic plate under uniform shear. Allam et al [15] have determined the stress concentrations around a triangular hole in a fiber-reinforced viscoelastic composite plate under uniform tension or pure bending. Zenkour et al [16] have presented the elastic and viscoelastic solutions to rotating functionally graded hollow and solid cylinders. The displacement and stresses for rotating fiberreinforced viscoelastic inhomogeneous orthotropic hollow cylinder with variable thickness and density subjected to various boundary conditions are obtained. Special cases of the studied problem are established and numerical results are presented in graphical forms
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