Mathematical Models in the mechanics of deformable solid materials

Abstract

The model developed in this thesis provide a framework to analyse elasto-plastic and creep deformation in various components and better design, ensure safety of structural elements. The study carried out in this thesis is an attempt to find out the effect of pressure, temperature, mechanical load, thickness parameter and density parameter and in some structural components. Mathematical models for elasto-plastic and creep deformation in a rotating disk and spherical shell have been developed. This present study is to be provided a framework for determination of stress distribution, displacement, and creep stress and strain rates in structural components of isotropic, transversely isotropic and orthotropic materials. During last decade s effort has been done to develop new materials which can withstand high temperature. These are particularly relevant in nuclear engineering, jet engines, hypersonic planes, gas turbine, missiles and nuclear reactor, etc. which endure to severe conditions of high stress and temperature. The models developed in this thesis help the scientist and engineers in providing a safer design of the disk and shell. newline