Inverse Analysis for Two-Dimensional Elasticity Using Genetic Algorithm (Basic Consideration for Indentifying Several Circular Defects)

Abstract

Inverse analysis for estimating the geometry or the shape and the elastic properties of a structure is generally carried out by using additional information such as experimental data of displacements or strain and velocity of the structure the subjected to any mechanical loading or constraint. Such inverse analysis has some problems as to the uniqueness of the solution and the stability of the inverse procedure. The model for the inverse analysis in the present paper is a square plate with several circular defects subjected to a bidirectional load. The position, the size and the number of internal defects are estimated by using the genetic algorithm with additional data of displacement in the outer boundary. A new procedure for estimating the number of defects is presented in the paper and is shown to also be useful in the inverse analysis using data with several errors. © 1994, The Japan Society of Mechanical Engineers. All rights reserved.