A finite-element (FE) model simulating the elastic behavior of anisotropic glass/epoxy composite laminates subjected to a biaxial tensile loading is proposed. A progressive failure prediction and analysis are performed in the ABAQUS FE code by using user-defined constitutive equations. A numerical analysis is performed for different loading ratios and ply angles. Gradual failure patterns of fiber and matrix are presented.
Similar content being viewed by others
References
A. Russo and B. Zuccarello, “An accurate method to predict the stress concentration in composite laminates with a circular hole under tensile loading,” Mech. Compos. Mater., 43, No. 4, 359-376 (2007).
Z. X. Guo, H. Zhu, Y. C. Li, X. P. Han, and Z.H. Wang, “Simulating initial and progressive failure of open-hole composite laminates under tension,” Appl. Compos. Mater., 23, 1209-1218 (2016).
P. D. Soden, A. S. Kaddour, and M. J. Hinton, “Recommendations for designers and researchers resulting from the world-wide failure exercise,” Compos. Sci. Technol., 64, 589-604 (2004).
M. U. Saeed, Z. F. Chen, Z. H. Chen, and B. B. Li, “Comparison of fracture characteristics of open-hole-notch carbonfiber-reinforced composites subjected to tensile and compressive loadings,” Mech. Compos. Mater., 52, No. 6, 751-758 (2017).
P. A. Zinov’Ev and S. V. Tsvetkov, “Plastic instability of a cylindrical angle-ply shell in biaxial tension,” Mech. Compos. Mater., 30, No. 5, 474-483 (1995).
C. S. Lee, W. Hwang, H. C. Park, and K. S. Han, “Static strength and failure mechanism of CFRP under biaxial loadings,” Mech. Compos. Mater., 34, No. 1, 28-42 (1998).
A. Smits, D. Van Hemelrijck, T. P. Philippidis, and A. Cardon, “Design of a cruciform specimen for biaxial testing of fiber reinforced composite laminates,” Compos. Sci. Technol. 66, 964-975 (2006).
V. Strizhius, “Estimation of the residual fatigue life of laminated composites under a multistage cyclic loading,” Mech. Compos. Mater., 52, No. 5, 611-622 (2016).
L. Leotoing, D. Guines, I. Zidane, and E. Ragneau, “Cruciform shape benefits for experimental and numerical evaluation of sheet metal formability,” J. Mater. Process. Tech., 213, 856–863 (2013).
R. Baptista, R.A.Claudio, L. Reis, J.F.A. Madeira, I. Guelho, and M.Freitas, “Optimization of cruciform specimens for biaxial fatigue loading with direct multi search,” Theor. Appl. Fract. Mech., 80, 65-72 (2015).
M. C. Serna Moreno and J.J López Cela, “Failure envelope under biaxial tensile loading for chopped glass-reinforced polyester composites,” Compos. Sci. Technol., 72, 91-96 (2011).
M. D. Muhamad Irwan, M. A. Zurri Adam, and J. Mahmud, “Failure analysis of composite laminates under biaxial tension: A review and framework,” Appl. Mech. Mater., 680, No. 6, 160-163 (2016).
J. S. Welsh, J. S. Mayes, and A. C. Biskner, “2-D biaxial testing and failure predictions of IM7/977-2 carbon/epoxy quasi-isotropic laminates,” Compos. Struct., 75, 60-66 (2006).
A. E. Antoniou, D. Van Hemelrijck, and T. P. Philippidis, “Failure prediction for a glass/epoxy cruciform specimen under static biaxial loading,” Compos. Sci. Technol., 70, 1232-1241 (2010).
C. Xu, L. Song, H. Zhu, S. Meng, W. Xie, and H. Jin, “Experimental investigation on the mechanical behaviour of 3D carbon/carbon composites under biaxial compression,” Compos. Struct., 188, 7-14 (2018).
A. Rashedi, I. Sridhar, and K. J. Tseng, “Fracture characterization of glass fiber composite laminate under experimental biaxial loading,” Compos. Struct., 138, 17-29 (2015).
J. Navarro-Zafra, J.L. Curiel-Sosa, and C. S. Cerna Moreno, “Mixed-mode damage into a CGRP cruciform subjected to biaxial loading,” Compos. Struct., 133, 1093-1100 (2015).
D. Cai, J. Tang, G. Zhou, X. Wang, C. Li, and V. V. Silberschmidt, “Failure analysis of plain woven glass/epoxy laminates: Comparison of off-axis and biaxial tension loadings,” Polym. Test., 60, 307-320 (2017).
Y. Ismail, D. Yang, and J. Ye, “A DEM model for visualising damage evolution and predicting failure envelope of composite laminate under biaxial loads,” Compos. Part B-Eng, 102, 9-28 (2016).
Z. Hashin and A. Rotem, “A fatigue failure criterion for fiber reinforced materials,” J. Compos. Mater., 7, 448-464 (1973).
A. Puck and H. Schürmann, “Failure analysis of FRP laminates by means of physically based phenomenological models,” Compos. Sci. Technol., 58, 1045-1067 (1998).
L Távara, V. Mantič, E. Graciani, and F. París, “Modelling interfacial debonds in unidirectional fiber-reinforced composites under biaxial transverse loads,” Compos. Struct., 136, 305-312 (2015).
J. Montesano and C. V. Singh, “Predicting evolution of ply cracks in composite laminates subjected to biaxial loading,” Compos. Part B-Eng., 75, 264-273 (2015).
H. T. Hu, W. P. Lin, and F. T. Tu, “Failure analysis of fiber-reinforced composite laminates subjected to biaxial loads,” Compos. Part B-Eng, 83, 153-165 (2015).
A. M. Gadade, A. Lal, and B. N. Singh, “Finite element implementation of Puck’s failure criterion for failure analysis of laminated plate subjected to biaxial loadings,” Aerosp. Sci. Technol., 55, 227-241 (2016).
Acknowledgement
This work was supported by the National Natural Science Foundation of China (grant Nos. 11602160 and 11402160), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (grant No. 2017117), the Opening Foundation for State Key Laboratory for Strength and Vibration of Mechanical Structures (grant No. SV2019-KF-01), and the “1331 project” Key Innovation Teams of Shanxi Province.
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 56, No. 2, pp. 311-320, March-April, 2020.
Rights and permissions
About this article
Cite this article
Zhu, H., Guo, Z.X., Zhu, M. et al. A Progressive FE Failure Model for Laminates under Biaxial Loading. Mech Compos Mater 56, 207–214 (2020). https://doi.org/10.1007/s11029-020-09873-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-020-09873-7