Abstract
The elastic and damage longitudinal shear behavior of highly concentrated long fiber composites is analyzed by means of a simplified model where it is supposed that the fibers are rigid and touch each other in a regular hexagonal array. In the microscopic unit cell the problem is reduced to six similar problems of antiplane deformation on an equilateral circular triangle (see forthcoming Figure 2). These problems are solved in closed form by the complex variable method, and the solution is used to determine the longitudinal shear moduli, and to study their dependence on the microscopic damage caused by the circumferential debonding at the fiber–matrix interface. Subsequently, the damage evolution is investigated under the hypothesis that the microcracks propagate according to the Griffith’s energy criterion. The elastic domain, where there is no damage propagation, is determined and it is shown that it is a polygonal convex set symmetric with respect to the origin. The overall damage evolution is discussed in detail and illustrated with some examples which highlight the very rich nature of the proposed model.
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Lenci, S. Elastic and Damage Longitudinal Shear Behavior of Highly Concentrated Long Fiber Composites. Meccanica 39, 415–439 (2004). https://doi.org/10.1023/B:MECC.0000046338.83648.fc
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DOI: https://doi.org/10.1023/B:MECC.0000046338.83648.fc