Abstract
The effectiveness of the representative volume elements (RVEs) established by a modified random sequential adsorption method for random short fiber reinforced elastomer composites (SFECs) was studied. The RVE is considered to be effective when the RVE’s fiber orientation is isotropic. And the effectiveness of the RVEs was verified by evaluating the mechanical properties in different loading directions based on the finite element method. The results show that the fiber number N=4000 can be regarded as a steady threshold for the isotropy of the fiber orientation in RVEs with various fiber aspect ratios and dilute volume fraction.
Similar content being viewed by others
References
C. Hsieh, Y. Pan, C. Lou, C. Huang, Z. I. Lin, J. Liao, and J. Lin, Fiber. Polym., 17, 615 (2016).
M. Andideh, G. Naderi, M. H. R. Ghoreishy, and S. Soltani, Fiber. Polym., 15, 814 (2014).
P. Fratzl, “Collagen Structure and Mechanics”, Springer, New York, 2008.
J. A. Niestrawska, C. Viertler, P. Regitnig, T. U. Cohnert, G. Sommer, and G. A. Holzapfel, J. R. Soc. Interface, 13, 124 (2016).
L. Chen and B. Gu, Polym. Compos., 39, 1455 (2018).
Z. Hashin, J. Appl. Mech. -T. ASME, 29, 2938 (1962).
J. D. Eshelby, Proc. R. Soc. Lond. A., 241, 376 (1957).
T. Mori and K. Tanaka, Acta. Metall., 21, 571 (1973).
B. A. Budiman, F. Adziman, P. L. Sambegoro, I. P. Nurprasetio, R. Ilhamsyah, and M. Aziz, Fiber. Polym., 19, 1980 (2018).
L. Maragoni, P. A. Carraro, and M. Quaresimin, Compos. Part A-Appl. S., 110, 268 (2018).
Y. Xue, J. Chen, X. Shi, J. Yao, and J. Luo, Fiber. Polym., 19, 682 (2018).
X. Yang, X. Gao, and Y. Ma, Fiber. Polym., 19, 641 (2018).
K. P. Babu, P. M. Mohite, and C. S. Upadhyay, Int. J. Solids Struct., 130, 80 (2018).
X. Yu, B. Gu, and B. Zhang, Fiber. Polym., 16, 2258 (2015).
A. Wongsto and S. Li, Compos. Part-Appl. S., 36, 1246 (2005).
S. R. Williams and A. P. Philipse, Phys. Rev. E, 67, 051301 (2003).
M. Schneider, Comput. Mech., 59, 247 (2017).
E. Ghossein and M. Levesque, J. Comput. Phys., 253, 471 (2013).
L. Qi, W. Tian, and J. Zhou, Compos. Struct., 131, 843 (2015).
K. Schneider, B. Klusemann, and S. Bargmann, Adv. Eng. Softw., 99, 843 (2016).
D. Sohn, Compos. Struct., 185, 65 (2018).
H. Liu, D. Zeng, Y. Li, and L. Jiang, Mech. Mater., 93, 109 (2016).
A. I. Abd El-Rahman and C. L. I. Tucker, J. Appl. Mech. -T. ASME, 80, 0510075 (2013).
T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Int. J. Solids Struct., 40, 3647 (2003).
L. Riano, L. Belec, and Y. Joliff, Compos. Struct., 154, 11 (2016).
H. Moussaddy, D. Therriault, and M. Levesque, Int. J. Solids Struct., 50, 3817 (2013).
S. Kari, H. Berger, and U. Gabbert, Compos. Mater. Sci., 39, 198 (2007).
A. Catapano and J. Jumel, Compos. Part B-Eng., 78, 227 (2015).
O. Lopez-Pamies, T. Goudarzi, and K. Danas, J. Mech. Phys. Solids, 61, 19 (2013).
F. L. Jimenez, Compos. Part B-Eng., 87, 33 (2016).
Eberly, “Robust Computation of Distance between Line Segments”, https://www.geometrictools.com (Accessed January 10, 2018).
Eberly, “Intersection of a Triangle and a Cylinder”, https://www.geometrictools.com (Accessed January 10, 2018).
J. Bonet and R. D. Wood, “Nonlinear Continuum Mechanics for Finite Element Analysis: Discretization and Solution”, Cambridge University Press, Cambridge, 2008.
DassaultSystmesSimuliaCorp, “Abaqus 6. 13 Analysis User’s Guide Volume III: Materials”, 2013.
Z. H. Xia, Y. F. Zhang, and F. Ellyin, Int. J. Solids Struct., 40, 1907 (2003).
Acknowledgments
This project is supported by National Natural Science Foundation of China (Grant No. 51375223), National Key Research and Development Plan of China (Grant No.2017YFF0210405) and by Jiangsu Province Ordinary University Graduate Research and Innovation plan (Grant No. KYCX17_0934). The computational resources generously provided by the High-Performance Computing Center of Nanjing Tech University are greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, L., Gu, B., Zhou, J. et al. Study of the Effectiveness of the RVEs for Random Short Fiber Reinforced Elastomer Composites. Fibers Polym 20, 1467–1479 (2019). https://doi.org/10.1007/s12221-019-1178-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12221-019-1178-9