Valuation of a Simplified Analytical Method for Large Deformation. 3-Dimensional Large Deformation Analysis of Thick Circular Plate with a Hole.

Abstract

In recent years, composite materials contained synthetic resin are used widely as structural materials. In these materials, large deformations are often allowed and analysises of large deformation problems are often required. But analytical method by finite deformation theory is complex and take large time for calculation. Especially on unsteady state large deformation, it is more complex and hard to deal with this method. Therefore simplified analytical methods for large deformation are needed. We adopt one of them that updates only locations of nodal points of finite elements with its displacements at each incremental step. It is the purpose of this paper that we show efficiency of this method, and we'll estimate exactitude of it by a exact mrthod that is formulated on the convected coordinates. Examples for analysis are uniformly loaded thick circular plates with a hole on several support conditions and the 3-dimensional finite element method is used as a numerical method.