EFFECT OF A FIBER IN A CLOSE DISTANCE FROM THE FREE SURFACE OF A SEMI-INFINITE MATRIX.
Abstract
The report is concerned with the effect of a long, circular, cylindrical fiber on stresses and deformation in a half-space when the microfiber is embedded in close proximity to the plane of the semi-infinite medium which is subjected to unit tension at infinity in the direction parallel to the free surface. The deformation of the plane and the state of stress in the thin-walled region between the fiber and the free surface are obtained, based on the biharmonic stress-function approach referred to bipolar coordinates. Numerical results reveal the possibility of tearing of the bonding material across the wall between the fiber and the plane due to the occurrence of stress concentration when the distance between the center of the fiber and the plane of the matrix is of the order of magnitude of the diameter of the fiber. To prevent this type of failure, this distance has to be greatly increased or reduced. The dependence on Poisson's ratio is found to be strong. A matrix with low Poisson's ratio is favored. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1969
- Accession Number
- AD0690184
Entities
People
- Michael A. Sadowsky
- Moayyed A. Hussain
- San Li Pu