Accession Number : AD0756513

Title :   Characterization of Elastic Solids Using Finite Element Methods.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Edwards,Brian Alfred

Report Date : DEC 1972

Pagination or Media Count : 93

Abstract : Finite element methods are applied to the problem of characterizing linear, anisotropic elastic solids. The conventional finite element displacement formulation is used to simulate an elastic material in plane stress. An inverted finite element formulation is then applied, and the characterizing six material constants are calculated as numerical results. A possible test device for the experimental characterization of anisotropic solids is postulated, the precision of displacement measurements to be required for such a device being determined by random perturbation analysis. Numerical constants accurate to within three percent are predicted if a precision of one part in eight hundred (1/800) can be measured. Numerical constants accurate to within one percent are predicted if a precision of one part in eight thousand (1/8000) can be measured in the test device. (Author)

Descriptors :   (*ELASTIC PROPERTIES, SOLIDS), ANISOTROPY, STRESSES, STRAIN(MECHANICS), MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, THESES, COMPUTER PROGRAMS, NUMERICAL ANALYSIS, LINEAR SYSTEMS, TENSOR ANALYSIS

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE