In this paper, a general solution for torsion of hollow cylinders made of functionally graded materials (FGM) was investigated. The problem was formulated in terms of Prandtl’s stress and, in general, the shear stress and angle of twist were derived. Variations in the material properties such as Young’s modulus and Poisson’s ratio might be arbitrary functions of the radial coordinate. Various m...

This paper develops a theoretical model for wrinkling of an elastic film on an elastic–plastic metal layer caused by cyclic temperatures. The film is compressively strained and bonded to the metal layer, which in turn lies on a thick substrate. The thermal expansion mismatch between the metal and the substrate induces a biaxial stress, which is assumed to be large enough to cause the metal to d...

Using disk form multilayers, a semi-analytical solution has been derived for determination of displacements and stresses in a rotating cylindrical shell with variable thickness under uniform pressure. The thick cylinder is divided into disk form layers form with their thickness corresponding to the thickness of the cylinder. Due to the existence of shear stress in the thick cylindrical shell wi...

In this paper, we discuss an analytical study of unsteady hydro magnetic generalized couette flow of an incompressible electrically conducting couple stress fluid between two parallel plates, taking into account pulsation of the pressure gradient effect and under the influence of periodic body acceleration with phase differenceφ . The solution of the problem is obtained with the help of perturb...

[1] The presence of deeply penetrating continental roots may locally increase the magnitude of basal shear tractions by up to a factor of 4 compared to a layered viscosity structure. Here we examine how these increases in mantlelithosphere coupling influence stress patterns in the overlying elastic lithosphere. By coupling a mantle flow model to a model for the elastic lithosphere, we show that...