Theory of Elastic-Plastic Shells

The Theory of Shells involves mainly the study of the structure and simplication of the problems occurring in the shells associated with the boundary/initial value problems. The purpose of this paper is to analysis the behaviour of shells under the effect of external forces. The external forces like pressure and temperature gradients play a major role in generating the stresses and displacements in shells due to elasticity. To analysis the behaviour of shells under given loading conditions, we have proper knowledge of the elastic-plastic theory of shells. The proper understanding of the principles and assumptions of shell theory is necessary to solve the various boundary/initial value problems related to the shells. Therefore, It is very important for engineers to obtain the solution of such problems for economical and safe designing of mechanical structures. There are various theoretical and numerical approaches based on finite element method, shear deformation theory, discrete convolution technique, direct method of calculus of variations useful in obtaining the numerical data for stresses and displacements in shells.