Title: Multiscale Simulation of Unidirectional Carbon Fiber Reinformced Polymer Strength
Authors: Hayden Cornwell, Luiz Lima, and Flavio Souza
DOI: 10.33599/nasampe/s.19.1501
Abstract: Finite element (FE) analysis has become increasingly important for mechanical design and the development of new advanced materials. Being able to predict structural performance accurately and efficiently can circumvent the extensive time and cost of repetitive and rigorous material testing. However, with fiber reinforced polymers (FRPs), the assumption of homogeneity as well as the generalization of a material based on global properties does not sufficiently describe the material close to failure. The key to accurately predict component failure is to realistically capture microstructural damage under complex multiaxial loads while simultaneously relaying the material response to the part level. This is possible through TRUE multiscale analysis (similar to FE2 but with a drastic reduction in computational cost) and in this paper, is applied to a specific FRP, unidirectional (UD) carbon fiber reinforced polymer (CFRP). The first study demonstrates the benefit of stochastic variance at the microstructure length scale. Multiple representative volume elements (RVEs) are created with varying fiber volume fraction (FVF), slight fiber misalignment, and the fiber strength following the Weibull statistical distribution. These different RVEs are applied to a coupon, tested in longitudinal tension. Multiple runs of this multiscale model result in varying strengths and moduli due to the stochastic nature of the model. These results are compared against the experimental results this model is based on, showing good agreement. The second study uses a different RVE (representing the same UD CFRP), integrated in a model of a laminate with multiple plies in different orientations. The RVE’s constituent material properties (fiber, matrix, and fiber-matrix interface properties) are designated using only standard lamina level data. After the RVE is calibrated, three different laminate models for each material are run with the results showing stress-strain curve and strength of the coupon. These results are well aligned within experimental data publicly available through the National Institute for Aviation Research (NIAR), demonstrating the accuracy of failure prediction using multiscale simulation. All models were run using the multiscale simulation software MultiMech.
References: 1. Jones, R.M. Mechanics of composite materials vol. 2 (Taylor & Francis London, 1975). 2. Eshelby, J.D. “The determination of the elastic field of an ellipsoidal inclusion, and related problems”. Proceedings of the Royal Society 241 (1957): 376-396. https://doi.org/10.1098/rspa.1957.0133 3. Mori, T., and Tanaka, K. ""Average stress in matrix and average elastic energy of materials with misfitting inclusions."" Acta Metallurgica 21(5) (1973): 571-574. https://doi.org/10.1016/0001-6160(73)90064-3 4. Hinton, M. (1998). ""Predicting failure in composite laminates: the background to the exercise."" Composites Science and Technology, 58(7), 1001–1010. https://doi.org/ 10.1016/s0266-3538(98)00074-8 5. Tsai, S.W., and Wu, E.M. ""A general theory of strength for anisotropic materials."" Journal of Composite Materials 5(1) (1971): 58-80. https://doi.org/10.1177/ 002199837100500106 6. Hashin, Z. ""Failure criteria for unidirectional fiber composites."" Journal of Applied Mechanics 47(2) (1980): 329-334. https://doi.org/10.1115/1.3153664 7. Christensen, R. M. ""Stress based yield/failure criteria for fiber composites."" International Journal of Solids and Structures 34(5) (1997): 529-543. https://doi.org/10.1016/S0020-7683(96)00038-8 8. Soden, P. (1998). ""Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. "" Composites Science and Technology, 58(7), 1011–1022. https://doi.org/10.1016/s0266-3538(98)00078-5 9. Zhou, Y.-X., & Huang, Z.-M. (2012). ""A bridging model prediction of the ultimate strength of composite laminates subjected to triaxial loads. "" Journal of Composite Materials, 46(19–20), 2343–2378. https://doi.org/10.1177/0021998312449491 10. Cuntze, R. G., & Freund, A. (2004). ""The predictive capability of failure mode concept-based strength criteria for multidirectional laminates."" Composites Science and Technology, 64(3–4), 343–377. https://doi.org/10.1016/s0266-3538(03)00218-5 11. Mayes, J. S., & Hansen, A. C. (2004). ""Composite laminate failure analysis using multicontinuum theory."" Composites Science and Technology, 64(3–4), 379–394. https://doi.org/10.1016/s0266-3538(03)00219-7 12. Bogetti, T. A., Hoppel, C. P. R., Harik, V. M., Newill, J. F., & Burns, B. P. (2004). ""Predicting the nonlinear response and progressive failure of composite laminates."" Composites Science and Technology, 64(3–4), 329–342. https://doi.org/10.1016/s0266-538(03)00217-3 13. Goree, J. G., & Gross, R. S. (1980). ""Stresses in a three-dimensional unidirectional composite containing broken fibers."" Engineering Fracture Mechanics, 13(2), 395–405. https://doi.org/10.1016/0013-7944(80)90068-5 14. Hedgepeth, J. M., & Van Dyke, P. (1967). ""Local Stress Concentrations in Imperfect Filamentary Composite Materials."" Journal of Composite Materials, 1(3), 294–309. https://doi.org/10.1177/002199836700100305 15. Blassiau, S., Bunsell, A. ., & Thionnet, A. (2007). ""Damage accumulation processes and life prediction in unidirectional composites."" Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463(2080), 1135–1152. https://doi.org/10.1098/rspa.2007.1817 16. Blassiau, S., Thionnet, A., & Bunsell, A. R. (2006). ""Micromechanisms of load transfer in a unidirectional carbon fibre–reinforced epoxy composite due to fibre failures. Part 1: Micromechanisms and 3D analysis of load transfer: The elastic case."" Composite Structures, 74(3), 303–318. https://doi.org/10.1016/j.compstruct.2005.04.013 17. Kim, Y.-R., Souza, F. V., & Teixeira, J. E. S. L. (2012). ""A two-way coupled multiscale model for predicting damage-associated performance of asphaltic roadways."" Computational Mechanics, 51(2), 187–201. https://doi.org/10.1007/s00466-012-0716-8 18. Souza, F. V., & Allen, D. H. (2009). ""Multiscale modeling of impact on heterogeneous viscoelastic solids containing evolving microcracks."" International Journal for Numerical Methods in Engineering, https://doi.org/10.1002/nme.2773 19. Souza, F.V., Allen, D.H. “Modeling the transition of microcracks into macrocracks in heterogeneous viscoelastic media using a two-way coupled multiscale model”. International Journal of Solids and Structures 48 (2011): 3160-3175. https://doi.org/10.1016/j.ijsolstr.2011.07.010 20. Malgioglio, F., Mesquita, F., Breite, C., Matveeva, A., Farkas, L., Desmet, W., Lomov, S.V., Swolfs, Y. “Prediction of tensile stiffness and failure of carbon fibre composite laminae: a multi-scale non-deterministic approach.” European Conference on Composite Materials. Athens, Greece, June 2018. 21. Sutcliffe, M.P.F., Lemanski, S.L., Scott, A.E. “Measurement of fibre waviness in industrial composite components.” Composites Science and Technology, 72, p. 2016-2023, 2012. https://doi.org/10.1016/j.compscitech.2012.09.001 22. National Institute for Aviation Research, Hexcel 8552 IM7 Unidirectional Prepreg 190 gsm & 35%RC Qualification Material Property Data Report. April, 2011 Revision A
Conference: SAMPE 2019 - Charlotte, NC
Publication Date: 2019/05/20
SKU: TP19--1501
Pages: 14
Price: FREE
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