Fracture Criteria for Matrix and Fibers in Unidirectional Polymeric Composites at Static Loadings

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

When analyzing the strength of structures made of layered fibrous polymer composite materials; the criteria for failure of a monolayer – a unidirectional reinforced composite – are used. A criterion of strength according to the conditions of matrix fracture is formulated, corresponding to conical limiting surfaces and the lowest destructive loads. The criterion of strength according to the condition of fiber failure, which does not allow the paradox of increasing strength in the region of transition from fiber destruction to matrix failure, is given. Experimental verification of the criteria for volumetric, planar, and one-dimensional loads is carried out. Their better correspondence to empirical data is shown and their advantages in comparison with known criteria are marked. A small number of easily detectable parameters of these criteria contribute to their reliability and stability in strength calculations of composite structural elements.

Full Text

Restricted Access

About the authors

A. I. Oleynikov

Central Aerohydrodynamic Institute; Moscow Institute of Physics and Technology (MIPT)

Author for correspondence.
Email: alexander.oleinikov@tsagi.ru
Russian Federation, Zhukovsky; Dolgoprudny

References

  1. Hashin Z., Rotem A. A. Fatigue failure criterion for fiber reinforced materials // J. Compos. Mater., 1973, vol. 7, pp. 448–464.
  2. Rabotnov Yu.N., Polilov A. N. Strength criteria for fibre-reinforced plastics // Fracture, 1977, vol. 3, pp. 1059–1065.
  3. Polilov A. N. Fracture criteria for interface in unidirectional composites // Izv. AN SSSR. MTT, 1978, no. 2, pp. 115–119.
  4. Hashin Z. Failure criteria for unidirectional fiber composites // J. Appl. Mech., 1980, vol. 47, pp. 329–334.
  5. Puck A. Festigkeitsanalyse von Faser-Matrix-Laminaten: Modelle für die Praxis. München; Wien: Hanser, 1996.
  6. Puck A., Schurmann H. Failure analysis of FRP laminates by means of physically based phenomenological models // Compos. Sci. Technol., 1998, vol. 58, pp. 1045–1067.
  7. Puck A., Schurmann H. Failure analysis of FRP laminates by means of physically based phenomenological models // Compos. Sci. Technol., 2002, vol. 62, pp. 1633–1662.
  8. Soden P.D., Hinton M. J., Kaddour A. S. A comparison of the predictive capabilities of current failure theories for composite laminates // Compos. Sci. Technol., 1998, vol. 58, pp. 1225–1254.
  9. Kaddour A.S., Hinton M. J., Soden P. D. A comparison of the predictive capabilities of current failure theories for composite laminates: additional contributions // Compos. Sci. Technol., 2004, vol. 64, pp. 449–476.
  10. Polilov A.N., Tatus N. A. Experimental substantiation of strength criteria for FRP showing directional type of fracture // PNRPU Mech. Bul., 2012, no. 2, pp. 140–166.
  11. Oleinikov A. I. Strength criterion variants for unidirectional polymer composites by the fracture condition of the inter-fibre when there is compression perpendicular to the fibers // Mech. of Solids, 2022, vol. 57, pp. 1740–1748.
  12. Thomson D.M., Cui H., Erice B., Hoffmann J., Wiegand J., Petrinic N. Experimental and numerical study of strain-rate effects on the IFF fracture angle using a new efficient implementation of Puck’s criterion // Compos. Struct., 2017, vol. 181, pp. 325–335.
  13. Gong Y., Huang T., Zhang X., Jia P., Suo Y., Zhao S. A reliable fracture angle determination algorithm for extended Puck’s 3D inter-fiber failure criterion for unidirectional composites // Materials, 2021, vol. 14/6325, pp. 1–14.
  14. Oleinikov A. I. Strength criterion for parts of aircraft models with unidirectional composites // in: Proc. XXXIII Conf. on Aerodyn. (TsAGI, Volodarka), 2022, pp. 84–85.
  15. Cuntze R., Deska R., Szelinski B. et al. Neue Bruchkriterien und Festigkeitsnachweise für unidirektionalen Faserkunststoffverbundunter mehrachsiger Beanspruchung – Modellbildung und Experimente. Düsseldorf: VDI Verlag, 1997. 262 s.
  16. Kaiser C., Kuhnel E., Obst A. Failure criteria for FRP and CMC: theory, experiments and guidelines // Europ. Conf. on Spacecr. Struct. Mater. Mech. Testing. Noordwijk, ESA, 2005, 12 p.
  17. Dávila C.G., Camanho P. P. Failure Criteria for FRP Laminates in Plane Stress. Hampton: NASA Langley Res. Center. NASA/TM-2003–212663, 2003. 28 p.
  18. Polilov A. N. Determination of strengths at bending of curvilinear specimens // Mashinoved., 1984, no. 1, pp. 54–60.
  19. Oleinikov A. I. Assessment of static load strength of laminated composites // TsAGI Sci. J., 2019, vol. 50 (4), pp. 411–427.
  20. Kawai M., Itoh N. A failure-mode based anisomorphic constant life diagram for a unidirectional carbon/epoxy laminate under off-axis fatigue loading at room temperature // J. Compos. Mater., 2014, vol. 48(5), pp. 571–592.
  21. Shin E.S., Pae K. D. Effects of hydrostatic pressure on the torsional shear behaviour of graphite/epoxy composites // J. Compos. Mater., 1992, vol. 26, pp. 462–485.
  22. Shin E.S., Pae K. D. Effects of hydrostatic pressure on in-plane shear properties of graphite/epoxy composites // J. Compos. Mater., 1992, vol. 26, pp. 828–868.
  23. Hinton M.J., Kaddour A. S. Benchmark data triaxial test results for fibre-reinforced composites: the second world-wide failure exercise // J. Compos. Mater., 2012, vol. 47, pp. 633–678.
  24. Cuntze R. The predictive capability of failure mode concept-based strength conditions for laminates composed of unidirectional laminae under static triaxial stress states // J. Compos. Mater., 2012, vol. 46, pp. 2563–2594.
  25. Deuschle H.M., Puck A. Application of the Puck failure theory for fibre reinforced composites under 3D-Stress: comparison with experimental results // J. Compos. Mater., 2013, vol. 47, pp. 827–846.
  26. Carrere N., Laurin F., Maire J.-F. Micromechanical based hybrid mesoscopic 3D approach for non-linear progressive failure analysis of composite structures // J. Compos. Mater., 2012, vol. 46, 2389–2415.
  27. Pinho S.T., Darvizeh R., Robinson P., et al. Material and structural response of polymer-matrix fibre-reinforced composites // J. Compos. Mater., 2012, vol. 46, pp. 2313–2341.
  28. Hütter U., Schelling H., Krauss H. An experimental study to determine the failure envelope of composite materials with tubular specimens under combined loads and comparison between several classical criteria // in: Failure Modes of Composite Materials with Organic Matrices and Other Consequences on Design. Munich: NATO. AGRAD. Conf. Proc., no. 163, 1974, pp. 13–19.
  29. Soden P.D., Hinton M. J., Kaddour A. S. Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data // Compos. Sci.&Technol., 2002, vol. 62, pp. 1489–1514.
  30. Tsai S.W., Wu E. M. A general theory of strength for anisotropic materials // J. Compos. Mater., 1971, vol. 5, pp. 58–80.
  31. Liu K.-S., Tsai S. W. A progressive quadratic failure criterion for a laminate // Compos. Sci. Technol., 1998, vol. 58, pp. 1023–1032.
  32. Rotem A. The Rotem failure criterion: theory and practice // Compos. Sci. Technol., 2002, vol. 62, pp. 1663–1671.
  33. Davila C.G., Camanho P. P., Rose C. A. Failure Criteria for FRP Laminates // J. Compos. Mater., 2005, vol. 39, pp. 323–345.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download
2. Fig. 1

Download (92KB)
Indexing metadata
3. Fig. 2

Download (83KB)
Indexing metadata
4. Fig. 3

Download (93KB)
Indexing metadata
5. Fig. 4

Download (97KB)
Indexing metadata

Copyright (c) 2024 Russian Academy of Sciences