Prediction Ability Analysis of Phenomenological Strength Criteria for Composites
Author(s): Huang T.
Affiliation(s): National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37, Peremohy Ave., 03056 Kyiv, Ukraine
*Corresponding Author’s Address: [email protected]
Issue: Volume 11, Issue 1 (2024)
Dates:
Submitted: October 4, 2023
Received in revised form: February 12, 2024
Accepted for publication: March 7, 2024
Available online: March 18, 2024
Citation:
Huang T. (2024). Prediction ability analysis of phenomenological strength criteria for composites. Journal of Engineering Sciences (Ukraine), Vol. 11(1), pp. D54–D65. https://doi.org/10.21272/jes.2024.11(1).d7
DOI: 10.21272/jes.2024.11(1).d7
Research Area: Dynamics and Strength of Machines
Abstract. The article examines and assesses the phenomenological strength theory of composite materials. A comparative analysis of the theoretical envelopes was conducted for each criterion. A unified form of the phenomenological strength criterion was established. The study specifically examined the effects of altering the interaction parameter on the Tsai-Wu criterion’s theoretical envelope. Based on the available experimental data, the study plotted the failure envelopes of each strength criterion under planar composite stress states. The variation of these envelopes across various stress quadrants was highlighted. As a result of the examinations, four typical phenomenological strength criteria were chosen. The composites’ off-axis tensile and biaxial loading test data were used to evaluate the predictive power objectively. The results showed that not all stress states’ test results agreed with the predictions of the phenomenological strength theory. The criterion proposed by Norris and Tsai-Hill performed better at accounting for the material’s different compressive and tensile characteristics. The other criteria tended to be conservative under particular circumstances. Simultaneously, the Hoffman criterion matched the test data more closely over a broader range of stress states. Overall, this study clarified the limitations and applicability of various strength criteria in composite material strength prediction.
Keywords: composite materials, tensile compression test, failure envelope, strength prediction.
References:
- Pyskunov, S., Bakhtavarshoev, T., Samofal, K. (2023). On the use of strength criteria for anisotropic materials. Strength of Materials and Theory of Structures, Vol. 110, pp. 496–506. https://doi.org/10.32347/2410-2547.2023.110.496-506
- Forster, E., Clay, S., Holzwarth, R., Paul, D. (2008). Flight vehicle composite structures. In: The 26th Congress of ICAS and 8th AIAA ATIO. American Institute of Aeronautics and Astronautics. https://doi.org/10.2514/6.2008-8976
- Tao, F., Liu, X., Du, H., Tian, S., Yu, W. (2022). Discover failure criteria of composites from experimental data by sparse regression. Composites Part B: Engineering, Vol. 239, 109947. https://doi.org/10.1016/j.compositesb.2022.109947
- Norris, C. (1962). Strength of Orthotropic Materials Subjected to Combined Stresses. Forest Products Laboratory, University of Wisconsin, Madison, WI, USA.
- Azzi, V. D., Tsai, S. W. (1965). Anisotropic strength of composites. Experimental Mechanics, Vol. 5, pp. 283–288. https://doi.org/10.1007/BF02326292
- Hoffman, O. (1967). The brittle strength of orthotropic materials. Journal of Composite Materials, Vol. 1, pp. 200–206. https://doi.org/10.1177/002199836700100210
- Tsai, S. W., Wu, E. M. (1971). A general theory of strength for anisotropic materials. Journal of Composite Materials, Vol. 5, pp. 58–80. https://doi.org/10.1177/002199837100500106
- Wu, E. M., Scheublein, J. K. (1974). Laminate strength – A direct characterization procedure. ASTM Special Technical Publications, Vol. 546, pp. 188–206. https://doi.org/10.1520/STP35489S
- Cowin, S. C. (1979). On the strength anisotropy of bone and wood. Journal of Applied Mechanics, Vol. 46(4), pp. 832–838. https://doi.org/10.1115/1.3424663
- Yeh, H.-Y., Kim, C. H. (1994). The Yeh-Stratton criterion for composite materials. Journal of Composite Materials, Vol. 28, pp. 926–939. https://doi.org/10.1177/002199839402801003
- Arruda, M. R. T., Almeida-Fernandes, L., Castro, L., Correia, J. R. (2021). Tsai–Wu based orthotropic damage model. Composites Part C: Open Access, Vol. 4, 100122. https://doi.org/10.1016/j.jcomc.2021.100122
- Li, S., Xu, M., Sitnikova, E. (2022). The formulation of the quadratic failure criterion for transversely isotropic materials: mathematical and logical considerations. Journal of Composites Science, Vol. 6(3), 82. https://doi.org/10.3390/jcs6030082
- Jen, M.-H., Lee, C.-H. (1998). Strength and life in thermoplastic composite laminates under static and fatigue loads. Part I: Experimental. International Journal of Fatigue, Vol. 20, pp. 605–615. https://doi.org/10.1016/S0142-1123(98)00029-2
- Chen, X., Sun, X., Chen, P., Wang, B., Gu, J., Wang, W., Chai, Y., Zhao, Y. (2021). Rationalized improvement of Tsai–Wu failure criterion considering different failure modes of composite materials. Composite Structures, Vol. 256, 113120. https://doi.org/10.1016/j.compstruct.2020.113120
- Clouston, P., Lam, F., Barrett, J. D. (1998). Interaction term of Tsai-Wu theory for laminated veneer. Journal of Materials in Civil Engineering, Vol. 10, pp. 112–116. https://doi.org/10.1061/(ASCE)0899-1561(1998)10:2(112)
- Evans, K. E., Zhang, W. C. (1987). The determination of the normal interaction term in the Tsai-Wu tensor polynomial strength criterion. Composites Science and Technology, Vol. 30, pp. 251–262. https://doi.org/10.1016/0266-3538(87)90014-5
- Groenwold, A. A., Haftka, R. T. (2006). Optimization with non-homogeneous failure criteria like Tsai–Wu for composite laminates. Structural and Multidisciplinary Optimization, Vol. 32, pp. 183–190. https://doi.org/10.1007/s00158-006-0020-3
- Li, S., Sitnikova, E., Liang, Y., Kaddour, A.-S. (2017). The Tsai-Wu failure criterion rationalised in the context of UD composites. Composites Part A: Applied Science and Manufacturing, Vol. 102, pp. 207–217. https://doi.org/10.1016/j.compositesa.2017.08.007
- Hahn, H. T., Tsai, S. W. (2018). Introduction to Composite Materials. CRC Press, Boca Raton, FL, USA.
- Kawai, M., Yajima, S., Hachinohe, A., Takano, Y. (2001). Off-axis fatigue behavior of unidirectional carbon fiber-reinforced composites at room and high temperatures. Journal of Composite Materials, Vol. 35, pp. 545–576. https://doi.org/10.1177/002199801772662073
- Pipes, R. B., Cole, B. W. (1973). On the off-axis strength test for anisotropic materials. Journal of Composite Materials, Vol. 7, pp. 246–256. https://doi.org/10.1177/002199837300700208
- Sun, C.-T. (1996). Comparative Evaluation of Failure Analysis Methods for Composite Laminates. National Technical Information Service, Springfield, VA, USA.
- Soden, P. D., Hinton, M. J., Kaddour, A. S. (2004). Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. Composites Science and Technology, Vol. 58(7), pp. 1011–1022. https://doi.org/10.1016/S0266-3538(98)00078-5
- Soden, P. D., Hinton, M. J., Kaddour, A. S. (2004). Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data. Composites Science and Technology, Vol. 62(12–13), pp 1489–1514. https://doi.org/10.1016/S0266-3538(02)00093-3
- Pinho, S. T., Dávila, C. G., Camanho, P. P., Iannucci, L., Robinson, P. (2005). Failure Models and Criteria for FRP Under In-Plane or Three-Dimensional Stress States Including Shear Non-Linearity. NASA Langley Research Center, Hampton, VA, USA.
- Swanson, S. R., Messick, M. J., Tian, Z. (1987). Failure of carbon/epoxy lamina under combined stress. Journal of Composite Materials, Vol. 21, pp. 619–630. https://doi.org/10.1177/002199838702100703
- Hinton, M. J., Kaddour, A. S., Soden, P. D. (2004). A further assessment of the predictive capabilities of current failure theories for composite laminates: Comparison with experimental evidence. Composites Science and Technology, Vol. 64(3–4), pp. 549–588. https://doi.org/10.1016/S0266-3538(03)00227-6
- Tao, F., Liu, X., Du, H., Tian, S., Yu, W. (2022). Discover failure criteria of composites from experimental data by sparse regression. Composites Part B: Engineering, Vol. 239, 109947. https://doi.org/10.1016/j.compositesb.2022.109947
- Cai, D., Tang, J., Zhou, G., Wang, X., Li, C., Silberschmidt, V. V. (2017). Failure analysis of plain woven glass/epoxy laminates: Comparison of off-axis and biaxial tension loadings. Polymer Testing, Vol. 60, pp. 307–320. https://doi.org/10.1016/j.polymertesting.2017.04.010
- Cai, D., Zhou, G., Wang, X., Li, C., Deng, J. (2017). Experimental investigation on mechanical properties of unidirectional and woven fabric glass/epoxy composites under off-axis tensile loading. Polymer Testing, Vol. 58, pp. 142–152. https://doi.org/10.1016/j.polymertesting.2016.12.023
- Zhou, G., Sun, Q., Li, D., Meng, Z., Peng, Y., Zeng, D., Su, X. (2020). Effects of fabric architectures on mechanical and damage behaviors in carbon/epoxy woven composites under multiaxial stress states. Polymer Testing, Vol. 90, 106657. https://doi.org/10.1016/j.polymertesting.2020.106657
- Singh, V., Larsson, R., Olsson, R., Marklund, E. (2023). A micromechanics-based model for rate dependent compression loaded unidirectional composites. Composites Science and Technology, Vol. 232, 109821. https://doi.org/10.1016/j.compscitech.2022.109821
- Turaka, S., Chintalapudi, R., Geetha, N. K., Pappula, B., Makgato, S. (2024). Experimental and numerical analysis of the microstructure and mechanical properties of unidirectional glass fiber reinforced epoxy composites. Composite Structures, Vol. 331, 117887. https://doi.org/10.1016/j.compstruct.2024.117887
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