MATHEMATICAL MODELING OF THE DEPENDENCE OF HEAT DISTRIBUTION ON DIRECTION IN SURFACE TEXTURING OF CONTINUOUS CARBON FIBRE REINFORCED EPOXY COMPOSITES BY ND.YAG LASER

Abstract

Major developments, especially in the aircraft, automobile and energy sectors, have led to the need to use highly featured new materials used in these elds. Carbon ber reinforced plastics CFRP have been used frequently in the transportation and energy sectors because of their high strength-to-weight ratio. Mathematical Modeling of laser beam ablation of carbon ber reinforced plastic CFRP is performed.Heat transfer equation based on Fourier's law of conduction is used for calculation of the temperature distribution in the target material. Under some natural regularity and consistency conditions on the input data the existence, uniqueness of solution are shown by using the generalized Fourier method.

Keywords

• Laser ablation,Mathematical modeling,Fourier method,Carbon bre Epoxy,Surface texturing.

References

1. Jaeschke, P., Kern, M., Stute, U., (2014), D. Kracht and Heinz Haferkamp, Laser processing of continu- ous carbon fibre reinforced polyphenylene sulphide organic sheets—Correlation of process parameters and reduction in static tensile strength properties. Journal of Thermoplastic Composite Materials, 27(3), 324–337.
2. Staehr, R., Bluemel, S., Hansen, P., Jaeschke, P., (2015), O. Suttmann and L. Overmeyer, The influence of moisture content on the heat affected zone and the resulting in-plane shear strength of laser cut thermoplastic CFRP, Plastics, Rubber and Composites, 44, 111-116.
3. Geersa, M. D., de Borstb, R., Brekelmansc, W. A. M. and Peerlingsc, R. H. J., (1999), Validation and internal length scale determination for a gradient damage model] application to short glass fibre reinforced polypropylene, International Journal of Solids and Structures 25, 1446-1472.
4. Thomason, J. L. and Vlug, M. A., (1996), Influence of fibre length and concentration on the properties of glass fibre-reinforced polypropylene: 1. Tensile and flexural modulus, Conlposites: Part A 27A, 417- 484.
5. Jin, F. L., Lee, S. Y. and Park, S. J., (2013), Polymer matrices for carbon fiber-reinforced polymer- composites, Carbon Letters, 14, 76-88.
6. Canel, T., Kaya, A.U and Celik, B., (2012), Parameter optimization of nanosecond laser for micro- drilling on PVC by Taguchi method, Optics & Laser Technology 44, 2347–2353. [7] Baglan, tion 10.1080/17415977.2014.947479,23,5. of a Inverse Science and with periodic boundary condition, Problems in Engineering
7. Dahotre, B.N., Harimkar, P. S., (2008), Laser Fabrication and Machining of Materials,2008 Springer Science Business Media, LLC.
8. Mansoor, S. B. and Yilbas, B. S., (2012), Laser Short-Pulse Heating: Influence of Spatial Distri- bution of Absorption Coefficient on Temperature Field in Silicon Film, JLMN-Journal of Laser Mi- cro/Nanoengineering Vol. 7, No. 2.

9. Carslaw , HS., Jaeger, JC., (1959), Conduction of Heat in Solids. Oxford University Press, Oxford.
10. Weber, R., Hafner, M., (2011), A. Michalowski and T. Graf, Minimum Damage in CFRP Laser Processing, Physics Procedia 12 302–307.