Accession Number : AD0755181

Title :   Applications of Trilinear Coordinates to Some Problems in Plane Elasticity,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG COLL OF ENGINEERING

Personal Author(s) : Williams,R. ; Brinson,H. F.

Report Date : OCT 1972

Pagination or Media Count : 107

Abstract : The report considers some analytical aspects involved in the application of trilinear coordinates to boundary value problems in plane elasticity. Trilinear coordinates, also known as homogeneous point coordinates, are defined. The concepts of triaxial stress, strain, bending moments and curvature are introduced: using these concepts, the stress-strain relationship, moment-curvature relationship and a few other basic equations of two-dimensional elasticity are developed for an isotropic material. All these relationships are presented in matrix form - as an aid to finite element stress analysis. Governing equations corresponding to some two-dimensional problems in elasticity are deduced for the trilinear system. An investigation was carried out on the method of integration of a function composed to trilinear variables. A few functional relations between the trilinear variables are also developed. (Author)

Descriptors :   (*ELASTIC PROPERTIES, *BOUNDARY VALUE PROBLEMS), STRESSES, STRAIN(MECHANICS), MOMENTS, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, VIBRATION, FLAT PLATE MODELS, NUMERICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE