MFS Heat Conduction Modeling of Composite Materials Reinforced by CNT-Fibers with Large Aspect Ratio

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Carbon Nanotube (CNT) fibers, which are used to reinforce composite materials areoften associated within the aspect ratio values 103:1-106:1, sometimes even larger. The Method of Continuous Source Functions (MCSF) used for simulating fiber-matrix and fiber-fiber interaction uses 1D continuous source functions which are distributed along the fiber. The source functions serve as Trefftz (T-) functions, which can satisfy the governing equations which are inside the composite domain (composite matrix) and the boundary conditions on the fiber-matrix interfaces are satisfied through the collocation points along the fiber boundaries in the least square (LS) sense. For the presented heat conduction problems, the nanotube fibers are supposed to be super-conductive at the first stage. Temperatures and heat flows in the control volume (CV) enable to define homogenized material properties for corresponding patch of the investigated composite material.

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202-208

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] V. Kompiš, F. Konkoľ, M. Vaško: Trefftz-polynomial reciprocity based FE formulation. In Computer Assisted Mechanics and Engineering Sciences. ISSN 1232–308X, 2001, vol. 8, no. 2–3, (2001), p.385–395.

Google Scholar

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

Google Scholar

[3] 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

Google Scholar

[4] 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.

Google Scholar

[5] 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.

Google Scholar

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

DOI: 10.1093/imanum/9.2.231

Google Scholar

[7] V. Kompiš,M. Žmindákand Z. Murčinková: MFS for modeling of inhomogeneous materials with large aspect ratio reinforcing elements. European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) , edited by J. Eberhardsteiner et. al., (2012).

Google Scholar

[8] 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

Google Scholar

[9] 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

Google Scholar