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An extended invariant approach to laminate failure of fibre-reinforced polymer structures

Published online by Cambridge University Press:  17 January 2022

G. Corrado Open the ORCID record for G. Corrado [Opens in a new window] ,
A. Arteiro ,
A.T. Marques ,
J. Reinoso ,
F. Daoud  and
F. Glock
G. Corrado*
Affiliation:
Stress Methods and Optimisation, Airbus Defence and Space GmbH, Manching, Germany Faculty of Engineering, University of Porto, Department of Mechanical Engineering, Porto, Portugal
A. Arteiro
Affiliation:
Faculty of Engineering, University of Porto, Department of Mechanical Engineering, Porto, Portugal
A.T. Marques
Affiliation:
Faculty of Engineering, University of Porto, Department of Mechanical Engineering, Porto, Portugal
J. Reinoso
Affiliation:
School of Engineering, University of Seville, Group of Elasticity and Strength of Materials, Seville, Spain
F. Daoud
Affiliation:
Stress Methods and Optimisation, Airbus Defence and Space GmbH, Manching, Germany
F. Glock
Affiliation:
Stress Methods and Optimisation, Airbus Defence and Space GmbH, Manching, Germany
*
*Corresponding author. Email: giuseppe.corrado@airbus.com
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Abstract

This paper presents the extension and validation of omni-failure envelopes for first-ply failure (FPF) and last-ply failure (LPF) analysis of advanced composite materials under general three-dimensional (3D) stress states. Phenomenological failure criteria based on invariant structural tensors are implemented to address failure events in multidirectional laminates using the “omni strain failure envelope” concept. This concept enables the generation of safe predictions of FPF and LPF of composite laminates, providing reliable and fast laminate failure indications that can be particularly useful as a design tool for conceptual and preliminary design of composite structures. The proposed extended omni strain failure envelopes allow not only identification of the controlling plies for FPF and LPF, but also of the controlling failure modes. FPF/LPF surfaces for general 3D stress states can be obtained using only the material properties extracted from the unidirectional (UD) material, and can predict membrane FPF or LPF of any laminate independently of lay-up, while considering the effect of out-of-plane stresses. The predictions of the LPF envelopes and surfaces are compared with experimental data on multidirectional laminates from the first and second World-Wide Failure Exercise (WWFE), showing a satisfactory agreement and validating the conservative character of omni-failure envelopes also in the presence of high levels of triaxiality.

Keywords

Failure criteriaLaminatesPolymer-matrix compositesStrengthAnalytical modellingLaminate mechanics
Type
Research Article
Information
The Aeronautical Journal , Volume 126 , Issue 1300 , June 2022 , pp. 1045 - 1068
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Gay, D., Hoa, S.V. and Tsai, S.W. Composite Materials: Design and Applications, 2014.Google Scholar
Echaabi, J., Trochu, F. and Gauvin, R. Review of failure criteria of fibrous composite materials, Polym. Compos., 1996, 17, (6), pp 786–798.10.1002/pc.10671CrossRefGoogle Scholar
Paris, F. and Jackson, K.E. A study of failure criteria of fibrous composite materials, NASA Scientific and Technical Information (STI) Program Office, (March), 76, 2001.Google Scholar
Puck, A. and Schneider, W. On failure mechanisms and failure criteria of filament-wound glass-fibre/resin composites, Plast. Polym., 1969, 37, pp 33–43.Google Scholar
Puck, A. and Schürmann, H. Failure analysis of FRP laminates by means of physically based phenomenological models, Fail. Crit. Fibre-Reinfor.-Polym. Compos., 1998, 3538, (96), pp 832–876.Google Scholar
Dávila, C.G., Camanho, P.P. and Rose, C.A. Failure criteria for FRP laminates, J. Compos. Mater., 2005, 39, (4), pp 323–345.10.1177/0021998305046452CrossRefGoogle Scholar
Pinho, S.T., Dávila, C.G., Camanho, P.P., Iannucci, L. and Robinson, P. Failure models and criteria for FRP under in-plane or three-dimensional stress states including shear non-linearity, Nasa/Tm-2005-213530, (February), 68, 2005.Google Scholar
Catalanotti, G., Camanho, P.P. and Marques, A.T. Three-dimensional failure criteria for fiber-reinforced laminates, Compos. Struct., 2013, 95, pp 63–79.10.1016/j.compstruct.2012.07.016CrossRefGoogle Scholar
Camanho, P.P., Arteiro, A., Melro, A.R., Catalanotti, G. and Vogler, M. Three-dimensional invariant-based failure criteria for fibre-reinforced composites, Int. J. Solids Struct., 2015, 55, pp 92–107.10.1016/j.ijsolstr.2014.03.038CrossRefGoogle Scholar
Arteiro, A., Catalanotti, G., Reinoso, J., Linde, P. and Camanho, P.P. Simulation of the mechanical response of thin-ply composites: From computational micro-mechanics to structural analysis, Arch. Computat. Meth. Eng., 2019, 26, (5), pp 1445–1487.10.1007/s11831-018-9291-2CrossRefGoogle Scholar
Catapano, A. and Montemurro, M. On the correlation between stiffness and strength properties of anisotropic laminates, Mech. Adv. Mater. Struct., 2019, 26, (8) pp 651–660.10.1080/15376494.2017.1410906CrossRefGoogle Scholar
Tsai, S.W. and Melo, J.D.D. An invariant-based theory of composites, Compos. Sci. Technol., 2014, 100, 237–243.10.1016/j.compscitech.2014.06.017CrossRefGoogle Scholar
Tsai, S.W. and Melo, J.D.D. A unit circle failure criterion for carbon fiber reinforced polymer composites, Compos. Sci. Technol., 2016, 123, pp. 71–78.10.1016/j.compscitech.2015.12.011CrossRefGoogle Scholar
Vogler, M., Ernst, G. and Rolfes, R. Invariant based transversely-isotropic material and failure model for fiber-reinforced polymers, Comput. Mater. Cont., 2010, 16, (1), 25–49.Google Scholar
Camanho, P.P., Arteiro, A., Catalanotti, G., Melro, A.R. and Vogler, M. Three-dimensional invariant-based failure criteria for transversely isotropic fibre-reinforced composites, Numerical Modelling of Failure in Advanced Composite Materials, pp 111–150. Woodhead Publishing, Cambridge, 2015.10.1016/B978-0-08-100332-9.00005-0CrossRefGoogle Scholar
Hinton, M.J. and Kaddour, A.S. Triaxial test results for fibre-reinforced composites: The Second World-Wide Failure Exercise benchmark data, J. Compos. Mater., 2013, 47(6–7), 653–678.10.1177/0021998312459782CrossRefGoogle Scholar
Thom, H. A review of the biaxial strength of fibre-reinforced plastics, Compos. A Appl. Sci. Manufact., 1998, 29, (8), pp 869–886.10.1016/S1359-835X(97)00090-0CrossRefGoogle Scholar
Vermes, B., Tsai, S.W., Riccio, A., Di Caprio, F. and Roy, S. Application of the Tsai’s modulus and double-double concepts to the definition of a new affordable design approach for composite laminates, Compos. Struct. (October), 113246, 2020.Google Scholar
Hinton, M.J., Kaddour, A.S. and Soden, P.D. Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise, 2004.10.1016/B978-008044475-8/50002-0CrossRefGoogle Scholar
Kaddour, A.S. and Hinton, M.J. Maturity of 3D failure criteria for fibre-reinforced composites: Comparison between theories and experiments: Part B of WWFE-II, J. Compos. Mater., 2013, 47, (6–7), pp 925–966.10.1177/0021998313478710CrossRefGoogle Scholar