Micro-Mechanical Analysis of Composites Reinforced with Discontinuous Fibers with Large Aspect Ratio

Abstract:

Properties of fiber composites reinforced with fibers greatly depend on the choice of fiber and matrix. Their mechanical properties and geometry influence the stress state in composite. In this paper the Method of Continuous Source Functions (MCSF) employing Trefftz Radial Basis Functions (TRBF) is presented. This method does not require any mesh. The focus will be given to the application of TRBF in form of dipoles to the simulation of composites reinforced with fibers of finite length with large aspect ratio. In presented example as well as in other linear problems, only nodes on the domain boundaries and a set of source functions in points outside the solution domain are necessary to satisfy the boundary conditions. Finally employing of MCSF for analysis of patch of glass fibers embedded in epoxy matrix subjected to far field stress is shown.

• Periodical: Applied Mechanics and Materials (Volume 420)
• Pages: 269-275
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.420.269
• Online since: September 2013
• Authors: Milan Žmindák, Martin Dudinsky, Zoran Pelagić
• Keywords: Fiber Reinforced Composites, Glass Fiber Reinforced Polymer, MCSF, Short Fibers, Trefftz Functions

References

[1] J. Sládek, V. Sládek and L. Jakubovičová: Application of Boundary Element Methods in Fracture Mechanics (University of Žilina, Slovakia 2002).

[2] Y. Chen, J. D. Lee and A. Eskandarian: Meshless Methods in Solid Mechanics (Springer Science + Business Media B.V., USA 2006).

[3] L. Jakubovičová, M. Vaško, V. Kompiš: Trefftz functions using the fundamental solution with the singularity outside the domain. Computer Assisted Mechanics and Engineering Sciences Vol. 4 (2003), pp.515-521.

[4] M. Žmindák, M. Dudinský: Computational Modelling of Composite Materials Reinforced by Glass Fibers. Procedia Engineering Vol. 48 (2012), pp.701-710.

DOI: 10.1016/j.proeng.2012.09.573

[5] M. A. Goldberg and C. S. Chen: The Method of Fundamental Solutions for Potential, Helmholtz and Diffusion Problems. Boundary Integral Methods - Numerical and Mathematical Aspect Vol. 1(1998), pp.103-176.

[6] A. Karageorghis and G. Fairweather: The method of fundamental solutions for the solution of nonlinear plane potential problems. IMA Journal of Numerical Analysis Vol. 9 (1989), pp.231-242.

DOI: 10.1093/imanum/9.2.231

[7] W. Chen and F. Z. Wang: A method of fundamental solutions without fictitious boundary. Engineering analysis with Boundary Elements Vol. 34 (2010), pp.530-532.

DOI: 10.1016/j.enganabound.2009.12.002

[8] M. Kachanov, B. Shafiro, I. Tsukrov: Handbook of Elasticity Solutions (Kluver Academic Publishers, Netherlands 2003).

DOI: 10.1007/978-94-017-0169-3

[9] V. Kompiš, M. Štiavnický, M. Kompiš, Z. Murčinková and Q. -H. Qin, in: Composites with Micro- and Nano-Structure, Computational Modeling and Experiments, edited by V. Kompiš, volume 9 of Computational Methods in Applied Sciences, chapter, 3, Springer Science + Business Media B.V. (2008).

DOI: 10.1007/978-1-4020-6975-8_3

[10] M. Vaško, A. Guran, L. Jakubovičová and P. Kopas: Determination the contact stresses depending on the load rate of the NU220 roller bearing. Communications Vol. 15 (2013), pp.88-94.

DOI: 10.26552/com.c.2013.2.88-94