Accession Number : AD0761994

Title :   Tensor Manipulations in Complex Coordinates with Application to the Mechanics of Materials.

Descriptive Note : Final rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Mast,Phillip W.

Report Date : 18 MAY 1973

Pagination or Media Count : 32

Abstract : Research into the strength and failure of composite materials is benefited substantially by the development of tensor manipulation techniques in complex coordinates which insure a problem representation that is compact, simple, and invariant. Such techniques are developed through the introduction of several new notations and integer functions. The techniques are then applied to problems connected with analytic formulations in composite materials research, such as basic formulation of anisotropic plane-linear elasticity theory, the elastic constants of laminated composites, graphic representation of tensor transformations, and tensor-polynomial approximation functions to yield surfaces. The techniques are general and can be used whenever two-dimensional tensor formulations are desired. (Author)

Descriptors :   (*COMPOSITE MATERIALS, TENSOR ANALYSIS), ELASTIC PROPERTIES, COMPLEX VARIABLES, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS, LAMINATES

Subject Categories : Laminates and Composite Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE