The subject matter of this thesis lies within the confines of the mathematical study of finite deformation solid mechanics. The pertinent equations of the field of study are first surveyed. Following this an ad-hoc solution method is developed and used to solve a variety of plane strain problems. The method is compared and contrasted with that of JOHN. A complex variable formulation is developed for finite deformation plane strain problems. Out of this formulation a general solution method for a significant class of materials results. This method is developed and applied to a variety of problems. For one problem the solution is developed to the stage where the deformation field may be plotted. The solution method is compared with that of MUSKHELISHVILI. At all points in the thesis material limitations in the form of inequalities are highlighted where appropriate.
|Date of Award||1980|