Abstract
This paper proposes a novel approach to the determination of the mechanical behaviour of composite materials up to failure using numerical and experimental techniques in parallel. A bottom-up multiscale virtual testing strategy is presented to take into account the physical mechanisms of deformation at different length scales on the behaviour of the composite. Starting from the microscale, the contributions of the basic constituents, microstructure and loading conditions to the mechanical response are considered in a rigorous way. This hierarchical multiscale approach describes systematically the material behaviour at different length scales from ply to laminate to component level, allowing the determination of ply properties, laminate characteristics and structural response. Additionally, this approach easily allows consideration of changes in properties of the constituents (fibre, matrices), fibre architecture or laminate lay-up and provides fast predictions of their influences on the macroscopic behaviour of composite structures. Hence, this approach constitutes a promising tool to provide significant efficiency gains in the design, testing and certification of composite aircraft structures.
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LLorca, J., González, C., Molina-Aldareguía, J.M., Segurado, J., Seltzer, R., Sket, F., Rodríguez, M., Sádaba, S., Muñoz, R., Canal, L.P.: Multiscale modeling of composite materials: a roadmap towards virtual testing. Adv. Mater. 23(44), 5130–5147 (2011)
Ostergaard, M.G., Ibbotson, A.R., Le Roux, O., Prior, A.M.: Virtual testing of aircraft structures, CEAS. Aeronaut. J. 1, 83–103 (2011)
European Aviation Safety Agency: Certification specifications for large aeroplanes CS-25 amendment 5, 5 Sept (2008)
Kaddour, A.S., Hinton, M.J. (Guest Editors): Evaluation of theories for predicting failure in polymer composite laminates under 3-D states of stress: Part A of the Second World-Wide Failure Exercise (WWFE-II). J. Compos. Mater. 46, 19–20 (2012)
Kaddour, A.S., Hinton, M.J. (Guest Editors): The Second World-Wide Failure Exercise (WWFE-II): Part B: Evaluation of theories for predicting failure in polymer composite laminates under 3-D states of stress: comparison with experiments. J. Compos. Mater. 47(7), 6–7 (2013)
Canal, L.P., González, C., Segurado, J., LLorca, J.: Intraply fracture of fiber-reinforced composites: microscopic mechanisms and modeling. Compos. Sci. Technol. 72(11), 1223–1232 (2012)
González, C., LLorca, J.: Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: microscopic mechanisms and modeling. Compos. Sci. Technol. 67(13), 2795–2806 (2007)
Budiansky, B., Fleck, N.A.: Compressive kinking of fiber composites: a topical review. Appl. Mech. Rev. 47(6S), S246–S250 (1994). doi:10.1115/1.3124417
LLorca, J., González, C., Molina-Aldareguía J.M., Lopes, C.S.: Multiscale modeling of composites: toward virtual testing… and beyond. JOM J. Miner. Metals Mater. Soc. (TMS) 65(2), 215–225 (2013)
Rodríguez, M., Molina-Aldareguía, J.M., González, C., LLorca, J.: Determination of the mechanical properties of amorphous materials through instrumented nanoindentation. Acta Mater. 60(9), 3953–3964 (2012)
Molina-Aldareguía, J.M., Rodríguez, M., González, C., LLorca, J.: An experimental and numerical study of the influence of local effects on the application of the fibre push-in test. Philos. Mag. 91(7–9), 1293–1307 (2011)
Rodriguez, M., Molina-Aldareguía, J.M., González, C., LLorca, J.: A methodology to measure the interface shear strength by means of the fiber push-in test. Compos. Sci. Technol. 72(15), 1924–1932 (2012)
Cox, B., Yang, Q.: In quest of virtual tests for structural composites. Science 314(5802), 1102–1107 (2006)
Vogler, T.J., Hsu, S.-Y., Kyriakides, S.: Composite failure under combined compression and shear. Int. J. Solids Struct. 37, 1765 (2000)
Totry, E., González, C., LLorca, J.: Failure locus of fiber-reinforced composites under transverse compression and out-of-plane shear. Compos. Sci. Technol. 68(3), 829–839 (2008)
Canal, L.P., Segurado, J., LLorca, J.: Failure surface of epoxy-modified fiber-reinforced composites under transverse tension and out-of-plane shear. Int. J. Solids Struct. 46(11), 2265–2274 (2009)
Totry, E., Molina-Aldareguía, J.M., González, C., LLorca, J.: Effect of fiber, matrix and interface properties on the in-plane shear deformation of carbon-fiber reinforced composites. Compos. Sci. Technol. 70(6), 970–980 (2010)
Totry, E., González, C., LLorca, J., Molina-Aldareguía, J.M.: Mechanisms of shear deformation in fiber-reinforced polymers: experiments and simulations. Int. J. Fract. 158(2), 197–209 (2009)
Vaughan, T.J., McCarthy, C.T.: Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites. Compos. Sci. Technol. 71(3), 388–396 (2011)
Naya, F., González, C., Lopes, C.S., Van der Veen, S., Pons, F.: Computational micromechanics of the transverse and shear behavior of unidirectional fiber reinforced polymers including environmental effects. Compos. Part A (2016). doi:10.1016/j.compositesa.2016.06.018
Camanho, P.P., Dávila, C.G.: Mixed-mode decohesion finite elements for the simulation of delamination in composite materials, NASA/TM-2002-211737 (2002)
Segurado, J., LLorca, J.: A new three-dimensional interface finite element to simulate fracture in composites. Int. J. Solids Struct. 41, 2977–2993 (2004)
Romanowicz, M.: A numerical approach to predict the failure locus of fibre reinforced composites under combined transverse compression and axial tension. Comput. Mater. Sci. 51, 7–12 (2012)
ASTM: Test Method D6671-01. American Society for Testing and Materials, West Conshohocken (2002)
Puck, A., Schürmann, H.: Failure analysis of FRP laminates by means of physically based phenomenological models. Compos. Sci. Technol. 62, 1633–1662 (2002)
Dávila, C.G., Camanho, P.P., Rose, C.A.: Failure criteria for FRP laminates. J. Compos. Mater. 39, 323–343 (2005)
Pinho, S.T., Iannucci, L., Robinson, P.: Physically-based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking: Part I: Development. Compos. A Appl. Sci. Manuf. 37(1), 63–73 (2006)
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. 64(3–4), 449–476 (2004)
Sádaba, S., Romero, I., González, C., Llorca, J.: A stable X‐FEM in cohesive transition from closed to open crack. Int. J. Numer. Methods Eng. 101(7), 540–570 (2015)
Camanho, P.P., Maimí, P., Dávila, C.G.: Prediction of size effects in notched laminates using continuum damage mechanics. Compos. Sci. Technol. 67(13), 2715–2727 (2007)
Pinho, S.T., Robinson, P., Iannucci, L.: Fracture toughness of the tensile and compressive fibre failure modes in laminated composites. Compos. Sci. Technol. 66(13), 2069–2079 (2006)
Ladevèze, P., Lubineau, G.: On a damage mesomodel for laminates: micro–meso relationships, possibilities and limits. Compos. Sci. Technol. 61(15), 2149–2158 (2001)
Maimí, P., Camanho, P.P., Mayugo, J.A., Dávila, C.G.: A continuum damage model for composite laminates: Part I–Constitutive model. Mech. Mater. 39(10), 897–908 (2007)
Maimí, P., Camanho, P.P., Mayugo, J.A., Dávila, C.G.: A continuum damage model for composite laminates: Part II–Computational implementation and validation. Mech. Mater. 39(10), 909–919 (2007)
Arévalo, E., González, C., Gálvez F., LLorca, J.: In: Gálvez, F., Sánchez-Gálvez, V. (eds.) 23rd International Symposium on Ballistics, Tarragona, Spain, pp. 1123–1132 (2007)
Lopes, C.S., Camanho, P.P., Gürdal, Z., Maimí, P., González, E.V.: Low-velocity impact damage on dispersed stacking sequence laminates. Part II: Numerical simulations. Compos. Sci. Technol. 69(7), 937–947 (2009)
González, E.V., Maimí, P., Camanho, P.P., Lopes, C.S., Blanco, N.: Effects of ply clustering in laminated composite plates under low-velocity impact loading. Compos. Sci. Technol. 71(6), 805–817 (2011)
Lopes, C.S., Sádaba, S., González, C., LLorca, J., Camanho, P.P.: Physically-sound simulation of low-velocity impact on fiber reinforced laminates. Int. J. Impact Eng. 92, 3–17 (2016)
ASTM D3518/3518M-13: American Society for Testing and Materials (ASTM), West Conshohocken, PA, USA (2013)
ASTM D6742/D6742M-12: American Society for Testing and Materials (ASTM), West Conshohocken, PA, USA (2012)
ASTM D7136/7136M-05: American Society for Testing and Materials (ASTM), West Conshohocken, PA, USA (2005)
González, C., Segurado, J., LLorca, J.: Technical report SimBaita2-01, Polytechnic University of Madrid, Spain (2006)
Lopes, C.S., Camanho, P.P., Gürdal, Z., Tatting, B.F.: Progressive failure analysis of tow-placed, variable-stiffness composite panels. Int. J. Solids Struct. 44(25), 8493–8516 (2007)
Acknowledgments
The research leading to these results has received funding from the VIRTEST project, a collaboration between IMDEA Materials and Fokker Aerostructures B.V., and from the European Union’s 7th Framework Programme for the Cleansky Joint Technology Initiative under the Grant Agreement No. 632438 (GRA-01-053)—CRASHING project.
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This paper is based on a presentation at the CEAS Air and Space Conference 2015, September 7–11, Delft, The Netherlands.
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Lopes, C.S., González, C., Falcó, O. et al. Multiscale virtual testing: the roadmap to efficient design of composites for damage resistance and tolerance. CEAS Aeronaut J 7, 607–619 (2016). https://doi.org/10.1007/s13272-016-0210-7
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DOI: https://doi.org/10.1007/s13272-016-0210-7