Load-Absorption by a Discontinuous Filament in a Fiber-Reinforced Composite.
Abstract
An analytical discussion is presented on the static load-absorption by a single elastic fiber consisting of two disjoint but contiguous semi-infinite segments, which are fully immersed in, and continuously bonded to, an all-around infinite elastic matrix or distinct mechanical properties. At infinity the matrix is assumed to be in a state of uniform uni-axial tension parallel to the axis of the embedded fiber. An approximate scheme -tested earlier in connection with a more elementary three-dimensional load- transfer problem and applied previously to a related simpler problem in the theory of fiber-reinforced materials -is modified and adapted to the present circumstances. This scheme results in a characterization of the desired filament force through an integral equation of Fredholm's second kind, which is treated by numerical means. Quantitative results, showing the distribution of the filament force for various values of the governing stiffness-ratio, are presented. (Author-PL)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1971
- Accession Number
- AD0721999
Entities
People
- Eli Sternberg
- Rokuro Muki
Organizations
- California Institute of Technology