Accession Number : AD0691401

Title :   IDENTIFICATION OF MATERIAL PROPERTIES OF A NONLINEARLY ELASTIC MATERIAL BY QUASILINEARIZATION.

Descriptive Note : Technical rept.,

Corporate Author : HOUSTON UNIV TEX CULLEN COLL OF ENGINEERING

Personal Author(s) : Baker,Billy E. ; Childs,S. Bart

Report Date : JUN 1969

Pagination or Media Count : 42

Abstract : A method of determining certain characteristic flexural rigidities and elastic properties of non-linearly elastic materials is presented. A moment curvature relation in the form of a hyperbolic tangent law is introduced. An identification method utilizing quasilinearization and a least squares fitting technique is used to solve the nonlinear differential equation derived from the moment curvature relation, subject to boundary values representing deflections of the bar at discrete points. Deflection data from numerical simulations of a non-linearly elastic prismatic bar are used to demonstrate the identification method. Numerical experiments relating the accuracy of the identification method to the number and accuracy of the boundary values are presented. Conclusions based on the numerical experiments are included. (Author)

Descriptors :   (*ELASTIC PROPERTIES, NONLINEAR DIFFERENTIAL EQUATIONS), (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), ELASTIC PROPERTIES, STRUCTURAL PROPERTIES, NONLINEAR SYSTEMS, STRESSES, DEFORMATION, LEAST SQUARES METHOD, BOUNDARY VALUE PROBLEMS, THESES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE