The mechanical properties and failure of composites depend on their microscopic characteristics (constituent properties and microscopic structural features). The continuum theory cannot explain the failure mechanism of composite materials in terms of connecting microscopic damage to the macroscopic fracture. In this paper, a multiscale method combining the High-Fidelity Generalized Method of Cells with ANSYS/LS-DYNA is presented. The method is validated by comparing calculations with experimental results. A nonlinear analysis of glass-fiber-reinforced polymer-matrix composites at high strain rates is performed. The results obtained show that the method presented can be effectively used to predict the mechanical properties of polymer-matrix composites and the increase in stiffness of the composites with growing strain rate.
Similar content being viewed by others
References
D. A. Bulgakov, Y. A. Gorenberg, and A. M. Kuperman, “Orientation of anisotropic carbon particles in the matrix of reinforced plastics by an AC electric field,” Mech. Compos. Mater., 54, 647-654 (2018).
J. Montesano, H. Chu, and C. V. Singh, “Development of a physics-based multiscale progressive damage model for assessing the durability of wind turbine blades,” Compos. Struct., 141, 50-62 (2016).
D. H. Zhang, D. Q. Bai, J. B. Liu, Z. Guo, and C. Guo, “Formability behaviors of 2a12 thin-wall part based on DYNAFORM and stamping experiment,” Compos. Part B-Eng., 55, 591-598 (2013)
D. H. Zhang, C. Guo, and X. P. Du, “Uniaxial tensile fracture of stainless steel-aluminum bi-metal,” P. I. Mech. Eng. C-J. Mec., 225, 1061-1068 (2011).
D. H. Zhang, G. Z. Xie, Y. Q. Li, and J. X. Liu, “Strain and mechanical properties of VCM multi-layer sheet and their composites using digital speckle correlation method,” Appl. Optics., 54, 7534-7541 (2015).
J. J. Ye, H. Cai, Y. K. Wang, Z. Jing, B. Q. Shi, Y. Y. Qiu, and X.F. Chen, “Effective mechanical properties of piezoelectric-piezomagnetic hybrid smart composites,” J. Intel. Mat. Syst. Struct., 29, 1711-1723 (2018).
J. J. Ye, Y. Y. Qiu, X. F. Chen, and J. Ma, “Initial and final failure strength analysis of composites based on a micromechanical method,” Compos. Struct., 125, 328-335 (2015).
L. Bernd, “Stress field calculation around a particle in elastic-plastic polymer matrix under multiaxial loading as basis for the determination of adhesion strength,” Compos. Interface., 23, 1-14 (2016).
B. Mohammadi, M. Abbaszadeh, and A. Keshmiri, “Variational approach development in analysis of matrix cracking and induced delamination of cross-ply composite laminates subjected to in-plane shear loading,” Mech. Adv. Mater. Struct., 25, 481-499 (2018).
M. Y. Matveev, A. C. Long, and I. A. Jones, “Modeling of textile composites with fiber strength variability,” Compos. Sci. Technol., 105, 44-50 (2014).
Z. Lu, C. Wang, and B. Xia, “Effect of interfacial properties on the thermophysical properties of 3D braided composites: 3D multiscale finite element study,” Polym. Compos., 35, 1690-1700 (2014).
S. Li, S. Roy, and V. Unnikrishnan, “Modeling of fracture behavior in polymer composites using concurrent multiscale coupling approach,” Mech. Adv. Mater. Struct., 25, 1342-1350 (2018).
Y. Cai and H. Sun, “Prediction on viscoelastic properties of three-dimensionally braided composites by multiscale model,” J. Mater. Sci., 48, 6499-6508 (2013).
M. Sardar, Z. Navid, and G. Thomas, “A comprehensive multiscale analytical modelling framework for predicting the mechanical properties of strand-based composites,” Wood Sci. Technol., 49, 59-81 (2015).
J. Kato, D. Yachi,·K. Terada, and T. Kyoya, “Topology optimization of microstructure for composites applying a decoupling multiscale analysis,” Struct. Multidisc. Optim., 49, 595-608 (2014).
S. K. Georgantzinos, G. I. Giannopoulos, K. N. Spanos, and N. K. Anifantis, “A heterogeneous discrete approach of interfacial effects on multiscale modelling of carbon nanotube and graphene based composites,” Model. Carbon Nano. Grap. Compos., 188, 83-109 (2014).
G. Han, Z. Guan, and Z. Li., “Multiscale modeling and damage analysis of composite with thermal residual stress,” Appl. Compos. Mater., 22, 289-305 (2015).
M. Meng, M. J. Rizvi, H. R. Le, and S. M. Grove, “Multiscale modelling of moisture diffusion coupled with stress distribution in CFRP laminated composites.” Compos. Struct., 138, 295-304 (2016).
J. J. Ye, C. C. Chu, H. Cai, Y. K. Wang, X. J. Qiao, Z. Zhai, and X.F. Chen, “A multiscale modeling scheme for damage analysis of composite structures based on the High-Fidelity Generalized Method of Cells.” Compos. Struct., 206, 42-53 (2018).
J. J. Ye, C. C. Chu, H. Cai, X. N. Hou, B. Q. Shi, S. H. Tian, X. F. Chen, and J. Q. Ye, “A multiscale model for studying failure mechanisms of composite wind turbine blades.” Compos. Struct., 212, 220-229 (2019).
A. Saikat, D. K. Mondal, K. S. Ghosh, and A. K Mukhopadhyay, “Mechanical behaviour of glass fibre reinforced composite at varying strain rates,” Mater. Res. Express., 4, 381-394 (2017).
M. M. Shokrieh and A. Karamnejad, “Investigation of strain rate effects on the dynamic response of a glass/epoxy composite plate under blast loading by using the finite-difference method,” Mech. Compos. Mater., 50, 295-310 (2014).
T. K. Tran and D. J. Kim, “Investigating direct tensile behavior of high performance fiber reinforced cementitious composites at high strain rates,” Cement Concrete Res., 50, 62-73 (2013).
T. K. Tran, D. J. Kim, and E. Choi, “Behavior of double-edge-notched specimens made of high performance fiber reinforced cementitious composites subject to direct tensile loading with high strain rates,” Cement and Concrete Res., 63, 54-66 (2014).
Y. Wan, B. Sun, and B. Gu, “Multiscale structure modeling of damage behaviors of 3D orthogonal woven composite materials subject to quasi-static and high strain rate compressions,” Mech. Mater., 94, 1-25 (2016)
H. Koerber, J. Xavier, and P. P. Camanho, “High strain rate behavior of 5-harness-satin weave fabric carbon-epoxy composite under compression and combined compression-shear loading,” Int. J. Solids Struct., 54, 172-182 (2015).
K. Luan, B. Sun, and B. Gu, “Ballistic impact damages of 3-D angle-interlock woven composites based on high strain rate constitutive equation of fiber tows,” Int. J. Imp. Eng., 57, 145-158 (2013).
Z. M. Huang and Y. X. Zhou. In: Zhang C, ed., Strength of Fibrous Composites. Zhejiang: Zhejiang University; 2012.
A. Lagzdins, R. D. Maksimov, and E. Plume, “Anisotropy of elasticity of a composite with irregularly oriented anisometric filler particles,” Mech. Compos. Mater., 45, 345 (2009).
J. Aboudi, S. M. Arnold, and B. A. Bednarcyk, The Generalized Method of Cells Micromechanics. Micromechanics of Composite Materials-A. Generalized Multiscale Analysis Approach. Oxford: Kidlington, 2013.
J. Aboudi, M. J. Pindera, and S. M. Arnold, “High-fidelity generalized method of cells for inelastic periodic multiphase materials,” NASA TM-2002-211469 (2002).
I. M. Daniel, “Yield and failure criteria for composite materials under static and dynamic loading,” Prog. Aerosp. Sci., 81, 18-25 (2016).
K. J. Yoon and C. T. Sun, “Characterization of elastic-viscoplastic properties of an AS4/PEEK thermoplastic composite,” J. Compos. Mater., 25, 1277-1296 (1991).
J. J. Ye, Y. Y. Qiu, Z. Zhai, and X. F. Chen, “Strain rate influence on nonlinear response of polymer-matrix composites,” Polym. Compos., 36, 800-810 (2015).
G. L. Shen, G. K. Hu, and B. Liu, Mechanics of Composite Materials (2nd. ed), Beijing, Tsinghua University Press, 2013.
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Nos. 51675397 and 51805400), the National Natural Science Foundation of Shaanxi Province (Nos. 2018JZ5005 and 2017JQ5002), China Scholarship Council (No. 201706965037), and Fundamental Research Funds for the Central Universities (No. JB180414), Project No. B14042. The first author is also grateful to the Engineering Department, Lancaster University, for the support he received during of his visit.
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 55, No. 5, pp. 885-898, September-October, 2019.
Rights and permissions
About this article
Cite this article
Ye, J.J., Xi, J., Hong, Y. et al. A Multiscale Approach to Studying the High Strain-Rate Deformations of Glass-Fiber-Reinforced Polymer-Matrix Composites. Mech Compos Mater 55, 607–616 (2019). https://doi.org/10.1007/s11029-019-09837-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-019-09837-6