Progressive failure modelling of transverse cracking in cross-ply laminates with double-edge-semicircular notches

• Autorzy: Liu C. J. , Nijhof A. H. J. , Ernst L. J. , Marissen R.
• Języki publikacji: EN

Abstrakty

EN

A local-global progressive failure finite element (FEM) model was created in combination with the maximum strain criterion on an individual layer scale to study the formation of transverse cracks in cross-ply laminates with double-edge-semicircular notches. It is assumed that the laminate is made of homogeneous orthotropic layers before the occurrence of the matrix failure. Then, the average reduced layer stiffness as a function of the applied load is separated from the reduced laminate stiffness. Additionally, a maximum strain strength criterion is applied on a very local scale of a single layer to induce the local matrix failure. The initiation, propagation and multiplication of the transverse cracks starting from the notch are predicted in this way. The influences of the laminar thickness and the notch-width aspect ratios were also studied. Furthermore, the stress distribution and redistribution caused by the initiation and propagation of the transverse cracks were calculated. In addition to the stress concentration caused by the circular notch, an extra stress concentration in the 0° layers is induced by the transverse cracks in the 90° layers. This stress redistribution will in turn initiate more local failures in the 0° layers or at the interface between the longitudinal and transverse layers. The simulated results show a good agreement with experimental observations.

Słowa kluczowe

EN

finite element method; transverse crack; cross-ply laminate

PL

metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2002
• Tom: Vol.50, iss.4
• Strony: 287--303
• Opis fizyczny: Bibliogr., 17 poz., rys., wykr.

Twórcy

autor

Liu C. J.

• Laboratory of Engineering Mechanics, OCP, Delft University of Technology

autor

Nijhof A. H. J.

• Laboratory of Engineering Mechanics, OCP, Delft University of Technology

autor

Ernst L. J.

• Laboratory of Engineering Mechanics, OCP, Delft University of Technology

autor

Marissen R.

• Laboratory of Engineering Mechanics, OCP, Delft University of Technology

Bibliografia

• 1. K.W. GARRETT, J.E. BAILEY, Multiple transverse fracture in 90o cross-ply laminates of a glass fibre-reinforced polyester, J. Materials Science, 12, 157–168, 1977.
• 2. A. PARVIZI, W.K. GARRETT, J.E. BAILEY, Constrained cracking in glass fibre-reinforced epoxy cross-ply laminates, J. Materials Science, 13, 195–201, 1978.
• 3. J.E. MASTERS and K.L. REIFSNIDER, An investigation of cumulative damage development in quasi-isotropic graphite/epoxy laminate, ASTM, 1980.
• 4. N. LAWS, G.J. DVORAK, "Transverse matrix cracking in composite laminates" in Proceedings of a Workshop on "Composite Material Response: Constitutive Relations and Damage Mechanisms", July 30–31, UK, Glasgow 1987.
• 5. Y.M. HAN, H.T. HAHN, Ply cracking and property degradations of symmetric balanced laminates under general in-plane loading, Composites Science and Technology, 35, 377397, 1989.
• 6. Y.M. HAN, H.T. HAHN, R.B. CROMAN, A simplified analysis of transverse ply cracking in cross-ply laminates, Composites Science and Technology, 31, 165–177, 1988.
• 7. K.Y. CHANG, S. LIU, F.K. CHANG, Damage tolerance of laminated composites containing an open hole and subjected to tensile loadings, J. Composite Materials, 25, 274–301, 1991.
• 8. R.S. VAIDYA, J.C. KLUG, C.T. SUN, Effects of ply thickness on fracture of notched composite laminates, AIAA Journal, 36, 1, 81–88, 1998.
• 9. J. TONG, F.J. GUILD, S.L. OGIN, P.A. SMITH, On matrix crack growth in quasi-isotropic laminates – II: finite element analysis, Composites Science and Technology, 57, 1537–1545, 1997.
• 10. R.S. BARSOUM, Finite element application in the fracture analysis of composite materials delamination, Key Engineering materials, 37, 35–58, 1989.
• 11. S.C. TAN, Stress concentration in laminated composites, Lancaster, Technomic Publishing Company, Inc. 1994.
• 12. B.D. DAVIDSON, R.A. SCHAPERY, Effect of finite width on deflection and energy release rate of an orthotropic double cantilever specimen, J. Composite Materials, 22, 640–656, 1988.
• 13. R.S. VAIDYA, C.T. SUN, Fracture criterion effects of ply thickness on fracture of notched composite laminates, AIAA Journal, 35, 2, 311–316, 1998.
• 14. M.E. WADDOUPS, J.R. EISENMANN, B.E. KAMINSKI, Macroscopic fracture mechanics of advanced composite materials, J. Composite Materials, 5, 446–454, 1971.
• 15. M.T. KORTSCHOT, P.W.R. BEAUMONT, Damage mechanics of composite materials: II – A damaged-based notched strength model, Composites science and Technology, 39, 303–326, 1990.
• 16. C.J. LIU, A.H.J. NIJHOF, L.J. ERNST, R. MARISSEN, Subcritical matrix failures in cross-ply composite laminates with double-edge-semicircular notches, IASS-IACM 2000, June 4–7, 2000, Crete.
• 17. M.S. KIASAT, Curing shrinkage and residual stresses in viscoelastic thermosetting resins and composites, Ph.D. Thesis, Delft University of Technology, 2000.