Shear-lag model for discontinuous fiber-reinforced composites with a membrane-type imperfect interface. (English) Zbl 1457.74039
Summary: A shear-lag model is developed for discontinuous fiber-reinforced composites with a membrane-type imperfect interface, across which the displacement vector is continuous but the traction vector suffers a jump that is governed by the generalized Young-Laplace equation. Closed-form expressions are obtained for the stress fields in both the fiber-reinforced region and the pure matrix regions and for the shear stress on the interface from both the fiber and matrix sides. To illustrate the newly developed analytical model, a numerical analysis is provided by directly using the general formulas derived. The numerical results reveal that the fiber aspect ratio and the interface parameter can both have significant effects on the stress distributions in the composite.
MSC:
| 74E30 | Composite and mixture properties |
| 74A50 | Structured surfaces and interfaces, coexistent phases |
| 74K15 | Membranes |
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