Prediction of the Effective Stress-Strain Curves of Ductile Polymer 1D-Reinforced Composites Filled with Hollow Fibers Using Parameterized Model Based on Bezier Curves

Abstract:

The article presents the results of numerical and experimental studies of stress-strain curves of 1D-reinforced polymer composite materials based on hollow porous fibers and epoxy matrix. The two-scale nature of the composite under research was taken into account. A surrogate easily parameterized model based on Bezier curves was developed and used to approximate the stress-strain curve of ductile material. The calculations were performed using reversible homogenization and finite element methods, which were implemented in computational subsystem of DCS GCD. Representative volume elements of the investigated materials were created using the geometry generating subsystem of DCS GCD. Test samples were made using three-axis milling machine and compression tests were carried out. Computational results of effective stress-strain curves determination were obtained and compared with experiments.

• Periodical: Key Engineering Materials (Volume 833)
• Pages: 93-100
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.833.93
• Online since: March 2020
• Authors: Alexander Pavlovich Sokolov*, Vitaliy Nikolaevich Schetinin, Arseniy Sergeevich Sapelkin, Mikhail Sergeevich Kuts, Konstantin Valerievich Mikhailovskiy
• Keywords: Composite Material, Compression Tests, Ductility, Effective Properties, Experimental Study, Plasticity, Polymer Composite Materials Investigation, Representative Volume Element, Response Curve, Reversible Homogenization, Strain-Stress Curve, Tensor of Elastic Moduli

References

[1] Cai, J.J., Hawboldt, K., Abdi, M.A. Analysis of the effect of module design on gas absorption in cross flow hollow membrane contactors via computational fluid dynamics (CFD) analysis. Journal of Membrane Science. Volume 520, 15 December 2016, Pages 415-424.

DOI: 10.1016/j.memsci.2016.07.054

[2] Das, B. B. and Mitra, Arkadeep Nanomaterials for Construction Engineering - A Review International Journal of Materials, Mechanics and Manufacturing. Vol. 2, No. 1, 2014, Pages 41-46.

[3] Il'yushin, A. A. Work of 1946-1966. Vol. 2. Plasticity (in Russian). Moscow: FIZMATLIT, 2004. - 480 p.

[4] Bobrov, A.V., Sarbaev, B.S., Shirshov, Y.Y. Deformation and strength properties of a carbon–carbide composite with 2D reinforcement under plane stress state. Journal of Machinery Manufacture and Reliability. Volume 45, Issue 2, 2016, Pages 145-151.

DOI: 10.3103/s1052618816020035

[5] Zarubin, V.S., Kuvyrkin, G.N., Savelyeva, I.Y. Estimates of the Elastic Characteristics of a Composite with Short Anisotropic Fibers. Mechanics of Composite Materials. Volume 53, Issue 4, 1 September 2017, Pages 497-504.

DOI: 10.1007/s11029-017-9679-3

[6] Berezovskii, V.V., Solyaev, Y.O., Lur'e, S.A., Babaitsev, A.V., Shavnev, A.A., Kurganova, Y.A. Mechanical properties of a metallic composite material based on an aluminum alloy reinforced by dispersed silicon carbide particles. Russian Metallurgy. Volume 2015, Issue 10, 1 October 2015, Pages 790-794.

DOI: 10.1134/s0036029515100055

[7] O. Ndubuaku, M. Martens, A. Ahmed, R. Cheng, S. Adeeb. A novel approach for stress-strain characterization of metallic materials using the product-log (omega) function. 2017. Pages 1-10.

DOI: 10.1115/pvp2017-65236

[8] Chen, X., Wu, S., & Zhou, J. Experimental study and analytical formulation of mechanical behavior of concrete. Construction and Building Materials, Vol. 47, 2013, Pages 662-670.

DOI: 10.1016/j.conbuildmat.2013.05.041

[9] Cook, D. J., & Chindaprasirt, P. A mathematical model for the prediction of damage in concrete. Cement and Concrete Research, Vol.11, Issue 4, 1981, Pages. 581–590.

DOI: 10.1016/0008-8846(81)90088-0

[10] Djouabi, M., Ati, A., & Manach, P.-Y. Identification strategy influence of elastoplastic behavior law parameters on Gurson–Tvergaard–Needleman damage parameters: Application to DP980 steel. International Journal of Damage Mechanics. International Journal of Damage Mechanics. 2018. Pages 1-28.

DOI: 10.1177/1056789518772130

[11] Papirno, Ralph. Algebraic approximations of stress-strain curves for KEVLAR-reinforced composites. Journal of Testing and Evaluation. Volume 13, Issue 2, March 1985, Pages 115-122.

DOI: 10.1520/jte10768j

[12] Horsinka, J., Kliber, J., Drozd, K., Mamuzić, I. Approximation model of the stress-strain curve for deformation of aluminium alloys. Metalurgija. Volume 50, Issue 2, 2011, Pages 81-84.

[13] Ling, F., Wu, Z., Zhu, Y., He, C., Zhu, L. Fractal approximation of the stress-strain curve of frozen soil. Science in China, Series D: Earth Sciences. Volume 42, Issue SUPPLEMENT, August 1999, Pages 17-22.

DOI: 10.1007/bf02878848

[14] Ji, F., Qiu, Y., Bao, J., Gao, T., Zhao, Y., Qiu, X., Chu, X., Yang, R., Cheng, S., Ye, J., Zhang, N. Mathematical approximation of the stress-strain curves of fabrics. Proceedings of the Fiber Society 2009 Spring Conference. 2009, Pages 606-611.

[15] Iwamoto, N. Developing the stress-strain curve to failure using mesoscale models parameterized from molecular models. Microelectronics Reliability. Volume 52, Issue 7, July 2012, Pages 1291-1299.

DOI: 10.1016/j.microrel.2012.03.014

[16] Weber, U., Mohanta, A., Schmauder, S. Numerical determination of parameterised failure curves for ductile structural materials. Materials Research and Advanced Techniques. Volume 98, Issue 11, December 2007, Pages 1071-1080.

DOI: 10.3139/146.101573

[17] Fedorov, T.V., Morrev, P.G. A NURBS approximation of experimental stress-strain curves. Journal of Chemical Technology and Metallurgy. Volume 51, Issue 3, 2016, Pages 341-349.

[18] Sokolov, A.P., Pershin, A.Yu. Computer-aided design of composite materials using reversible multiscale homogenization and graph-based software engineering. Key Engineering Materials. Vol. 779, 2018, pp.11-18,.

DOI: 10.4028/www.scientific.net/kem.779.11

[19] Sokolov, A.P., Schetinin V.N. Modeling of phases adhesion in composite materials based on spring finite element with zero length. Key Engineering Materials. Vol. 780, 2018, pp.3-9,.

DOI: 10.4028/www.scientific.net/kem.780.3

[20] Pisarenko, G.S., Yakovlev, A.P., Matveev, V.V. Spravochnik po soprotivleniyu materialov. [Handbook on strength of materials] (in Russian). 2-d edition – Kiev: Naukova Dumka, 1988, - 736 p. – ISBN 5-12-000299-4.