A Basic Research Program for the Characterization of the Mechanical Behavior of Textile-Type Composites
Abstract
A micromechanical model is advanced in order to study the stress transfer and associated damage and failure in classes of conventional and textile type fibrous composites. Unidirectionally reinforced matrix with straight and undulated fibers define the repeating constructing cell for conventional and textile composites, respectively. Starting with the case of straight reinforcement, we approximate and model the actual discrete composite as a concentric cylindrical system. For axisymmetric loading, and upon adopting some appropriate restrictions on the radial behavior of some field quantities, an elasticity-based procedure reduces the two-dimensional field equations, which hold in both fiber and matrix components together with the appropriate interface, symmetry and boundary conditions, to a quasi-one-dimensional system. This analysis is further extended to cases involving undulated fibers. Based upon local directions (slopes) of the undulated fibers, the linear transformation is used to obtain local stress distributions along the undulated fibers. The total stress field is found to be combinations of these local stresses and the inherent contributions obtained from the transformations of the normal loads along the undulated directions in the absence of reinforcement. This simple system retains total account of the system's physics and presents itself in the form of coupled partial differential equations in the longitudinal displacements and stresses of both the fiber and matrix components. According to this model, damage is simulated in the form of stress free boundary conditions. Perpetuation of damage is based upon the maximum normal stress criterion.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 14, 1999
- Accession Number
- ADA365577
Entities
People
- Adnan H. Nayfeh
Organizations
- University of Cincinnati