Summary
The failure behavior of woven fabric composites in the form of plain weave fiber unidirectional laminae is studied in this paper as defined by their failure stresses in simple tension and compression along the three principal stress directions. Since the transverse weave plane is the strong and isotropic plane of the composite, while the normal to it direction the weak one, the material is approximated as a weak-axis transversely isotropic composite.
The elliptic paraboloid failure surface (EPFS) criterion, as introduced by the author [1], was shown to describe satisfactorily this type of interesting modern materials. It was shown that such weak-axis transversely isotropic composites correspond to tension strong composites and their failure surfaces consist of a single-sheet convex surface open to the tension-tension-tension octant of the principal stress space.
The main characteristic of such surfaces is that they are oblate along the normal direction to the isotropic plane, in contrast with the typical (EPFS)-criterion for fiber composites, which, all of them, are prolate along the same direction. While the intersection of this (EPFS)-criterion by the (σ1,σ3) stress plane (σ3 is the weak axis) resembles closely the respective intersection for the unidirectional fiber composites the (σ1,σ2)-isotopic plane intersection, which coincides with the weaving strong plane approaches very closely a circle thus indicating that along this isotropic plane the failure stress is hydrostatic and independent of its orientation inside this plane. This property constitutes a significant and most promising property which makes this type of woven composites very attractive in applications.
Experimental evidence of failure of such materials, which is very sparse, as derived from tests in a woven T-300 Carbon-epoxy composite corroborated excellently with the theory based on the (EPFS)-criterion.
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References
Theocaris, P. S.: The paraboloid failure surface for the general orthotropic material. Acta Mech.79 (1), 53–79 (1989).
Zweben, C., Norman, J. C.: Kevlar 49/Thornel 300 hybrid fabric composites for aerospace applications. Soc. Am. Plast. Engs. Quarterly2, 1–8 (1976).
Ishikawa, T., Chou, T. W.: Stiffness and strength behavior of woven fabric composites. J. Mater. Sci.17, 3211–3220 (1982).
Ishikawa, T., Chou, T. W.: Non-linear behavior of woven fabric composites. J. Comp. Mater.18, 399–413 (1983).
Whitney, T. J., Chou, T. W.: Modeling of 3-D interlock textile structural composites. J. Comp. Mater.23, 890–911 (1989).
Chevalier, Y., Nouamani, Y.: Effective viscoelastic behavior of woven composite. In: Durability of polymer based composite systems for structural applications (Cardon, A. H., Verchery, G., eds.), pp. 221–233. Proc. Int. Coll., Brussels, August 1990. London: Elsevier 1990.
Tsai, S. W., Wu, E. M.: A general theory of strength for anisotropic materials. J. Comp. Mater.5, 58–80 (1971).
Theocaris, P. S.: Failure characterization of anisotropic materials by means of the elliptic paraboloid failure criterion. Adv. Mech.10, 83–102 (1987).
Theocaris, P. S.: Failure criteria for transtropic pressure dependent materials: the fiber composites. Rheol. Acta27 (5), 451–465 (1988).
Theocaris, P. S.: The elliptic paraboloid failure surface for 2D-transtropic plates (fiber laminates). Engng. Fract. Mech.33, 185–203 (1988).
Theocaris, P. S.: The elliptic paraboloid failure surface for transversely isotropic materials off-axis loaded. Rheol. Acta28, (2), 154–165 (1989).
Theocaris, P. S.: Properties and experimental verification of the paraboloid failure criterion with transversely isotropic materials. J. Mater. Sci.25 (5), 1076–1085 (1990).
Theocaris, P. S.: The elliptic paraboloid failure criterion for cellular solids and brittle foams. Acta Mech.89, 93–121 (1991).
Theocaris, P. S.: The symmetric ellipsoid failure surface for the transversely isotropic body. Acta Mech.92, 35–60 (1992).
Theocaris, P. S.: Failure modes of closed-cell polyurethane foams. Int. J. Fract. (accepted for publication).
Bridgman, P. W.: Studies in large plastic flow and fracture with special emphasis on the effects of hydrostatic pressure. New York: McGraw-Hill 1952.
Theocaris, P. S.: Generalized failure criteria in the principal stress space. Theor. & Appl. Mech. (Theoretichna i Prilojnia Mekhanika, Bulgarian Academy of Science)19, (2), 74–104 (1987).
Wu, E. M.: Phenomenological anisotropic failure criterion. In: Composite materials (Broutman, L. J., Krock, R. H., eds.), vol. 2, pp. 353–431. Academic Press 1974.
Theocaris, P. S.: The compliance fourth-rank tensor for the transtropic material and its spectral decomposition. Proceed Natl. Acad. Athens64 (I), 80–100 (1989).
Theocaris, P. S., Philippides, T. P.: Spectral decomposition of compliance and stiffness fourth-rank tensors suitable for orthotropic materials. Z. Angew. Math. und Mech.71 (3), 161–171 (1991).
Theocaris, P. S., Philippides, T. P.: Variational bounds on the eigenangle μ of transversely isotropic materials. Acta Mech.85 (1), 13–26 (1990).
Theocaris, P. S., Philippides, T. P.: Stress distribution in orthotropic plates with coupled elastic properties. Acta Mech.80, (2), 95–111 (1989).
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Theocaris, P.S. Failure criteria for weak-axis quasi-orthotropic woven fabric composites. Acta Mechanica 95, 69–86 (1992). https://doi.org/10.1007/BF01170805
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DOI: https://doi.org/10.1007/BF01170805