INITIAL STRESSES AND SKIN EFFECTS IN A HEMITROPIC COSSERAT CONTINUUM.
Abstract
Constitutive relations are derived for a linear Cosserat continuum possessing hemitropic symmetry. In such a continuum the microstructure has a screw-like property, or handedness, and can support initial couple-stresses of twist. The introduction of free boundaries in such a medium brings about an unbalancing of the internal forces which results in a highly localized skin effect. This skin effect is represented by an outward, or inward, motion of a boundary layer, which is accompanied by micro-twisting. A qualitative comparison is obtained with a specific solution based upon the linear elastic dislocation theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1966
- Accession Number
- AD0478019
Entities
People
- Yechiel Weitsman
Organizations
- Pennsylvania State University