Matrix Method of Analysis of Ship Structure (II)

Abstract

In this paper studies are made on the application of displacement method to the analysis of two-different types of problems in two dimensional theory of elasticity.The first study is to develope the computer programming for stress analysis of mixed boundary value problems which are frequently encountered in engineering practice and yet reliable method of analysis is not well established. Taking a perforated square plate streched in one direction by a certain prescribed edge displacements as an example, stress distribution around a hole was calculated. Comparative study of the results obtained with that of previous study in which the plate is streched by uniformly distributed edge loads showed significant difference on the stress concentration factor and stress distribution.Computer programming is also developed for analysis of thermal stress problem under arbitrary temperature distribution. Thermal stress distribution of a rectangular plate under a given temperature distribution was also studied and good agreement was confirmed with the results of previous investigation. Study on the application of this method to the initial stress problem such as residual stress problems due to welding or heat treatment is underway.