MATHEMATICAL STUDIES OF COMPOSITE MATERIALS. III.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 23, 1966
- Accession Number
- AD0487617
Entities
People
- Howard B. Wilson Jr.
- J. Goree
- James L. Hill
- Melvin K. Richardson