By various experiments, it has been found that the response
of real materials to external forces is, in general,
nonlinear in character. In classical continuum mechanics,
the use of ordinary measures of strain have forced the
constitutive equations to take complex forms and since the
orders of these measures are...
An introduction to the generalized measures of deformation-
rates involving not only velocity gradients but also
acceleration gradients is given and constitutive equations
using these measures have been discussed. These new constitutive
equations are then used to study torsional
flows of viscoelastic fluids between two infinite parallel
planes. In order...
We investigate in this thesis, the problem of stability
of thermo-viscoelastic fluid flow between rotating
coaxial cylinders. By using the thermo-viscoelastic
constitutive equations given by Eringen, we reduce the
equations of motion into a form suitable for stability
analysis. The course of reduction which we follow yields
some interesting intermediate...
The asymptotic boundary layer problem involving an axial
incompressible Newtonian fluid flow past a circular cylinder parallel
to its axis was investigated by Stewartson (1955). He addressed hiself
primarily to the Mangler's (1948) derivation, namely, the
character of the boundary layer on a circular cylinder is equivalent to
that on...
The formation of shear bands in isotropic micropolar
elastic materials is considered in this thesis. The
investigation concerns localized deformation fields due to
jumps of second-order gradients of displacement across a
standing singular surface. Such a standing surface gives
rise to a shear band. The condition for the existence of...
Micropolar Theory, a specialization of the Microcontinuum
Theory advanced by A. C. Eringen in the early 1960ts has been
used successfully in predicting the behavior of materials whose
inner structure is composed of rod-like elements. Liquid crystals
fall into this class of materials and their wide-spread use in
Industry and...
A general theory of micromorphic materials was developed by
Eringen for the prediction of continuum behavior of materials with
inner structure, such as, granular solids, composite materials,
anisotropic and polymeric fluids. Recently Eringen derived balance
laws of micromorphic mechanics from a different point of view. His
derivation of the master...
The simplest existing properly invariant theory for anisotropic
fluids, proposed by Ericksen, includes equations governing the nature
of a preferred direction. An analysis of simple shearing motion given
by Ericksen suggested that this type of theory might be applicable to
some fluids which are commonly treated as isotropic and might...
Transition phenomena commonly occur in nature. These arise
either due to structural or behavioral changes in the medium. Examples
for these abound in all applied sciences and to mention a few
of these, we have, boundary layer, elastic-plastic deformation, and
shocks. The present work is devoted to the study of...