Stress Functions for Fiber-Reinforced Materials and the Effects of Fiber-Inextensibility.
Abstract
Stress functions were developed for materials that are reinforced by inextensible fibers. The materials were assumed to behave linearly elastic under conditions of plane strain and the fibers were considered to be straight and parallel to each other. It was shown that the stress functions contain hyperbolic as well as elliptic components. However, when the assumption of fiber inextensibility was relaxed the hyperbolic components, which are not commonly encountered in linear elasto-statics, disappeared. In this manner the presence of the hyperbolic functions was traced in full detail to the assumption of fiber inextensibility. A specific boundary value problem was solved for both extensible and inextensible fibers. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1972
- Accession Number
- AD0774447
Entities
People
- Jacob Aboudi
- Yechiel Weitsman
Organizations
- Tel Aviv University