Accession Number : AD0487617

Title :   MATHEMATICAL STUDIES OF COMPOSITE MATERIALS. III.

Descriptive Note : Rept. for 1 Jun 64-15 Oct 65,

Corporate Author : ROHM AND HAAS CO HUNTSVILLE AL REDSTONE RESEARCH LABS

Personal Author(s) : Wilson, Howard B., Jr. ; Hill, James L. ; Richardson, Melvin K. ; Goree, James G.

Report Date : 23 AUG 1966

Pagination or Media Count : 172

Abstract : Methods are presented for evaluating stresses in several linearly elastic composite material systems having spherical or cylindrical inclusions. Mathematical solutions and pertinent computer codes are developed for determining the following: (1) torsional stresses in an infinite matrix containing two rigid spherical inclusions, (2) antiplane shear stresses in an infinite medium containing two circular cylindrical inclusions, (3) contact stresses about a smooth elastic sphere in an infinite elastic solid stressed uniformly at infinity. Techniques are outlined for determining stresses in an infinite medium which contains a triply periodic array of bonded spherical inclusions. The final section of the report gives a numerical method for constructing a Laurent series to map an annulus onto a doubly connected region having one or more symmetry axes. Although no specific application to the stress analysis of composite materials is presented, the mapping functions developed have applicability for the study of plane elastostatic systems involving a medium with a periodic array of cylindrical holes or inclusions.

Descriptors :   *STRESSES), (*COMPOSITE MATERIALS, MATHEMATICAL ANALYSIS, COMPUTER PROGRAMMING, COMPUTER LOGIC, PROGRAMMING LANGUAGES, DEFECTS(MATERIALS), CYLINDRICAL BODIES, SPHERES, SHEAR STRESSES, ELASTIC PROPERTIES, COMPLEX VARIABLES, SERIES(MATHEMATICS), CONFORMAL MAPPING, BOUNDARY VALUE PROBLEMS, TORSION.

Subject Categories : Laminates and Composite Materials
      Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE