Abstract
This chapter discusses a problem of parameterization of irregular reinforcement distribution in uniaxial fiber-reinforced composites (CFRC) expressed as an area ratio of the matrix surrounding a single fiber to its perimeter. The distribution parameter, G AB, was applied in the analysis of possible relationships between the microgeometry and mechanical properties of glass-epoxy composites with random distribution of continuous fibers. Test specimens were made in a repeatable process production of the girders of helicopter blades and were tested in bending during the short beam shear tests (SBST), as well as their basic mechanical properties (e.g., the flexural modulus E f, taking into account shear effects) were determined. The relationship between the SBST results and the theoretical topology of regular CFRC structures was presented: the square (K) and the hexagonal (H) type. The K theoretical model of fiber distribution corresponded with experimental results. It was concluded that the measure of irregular reinforcement distribution (G AB) could be used to estimate the flexural elastic modulus E f of unidirectional CFRC composites.
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References
Banerjee, S., Sankar, B.V.: Mechanical properties of hybrid composites using finite element method based micromechanics. Compos. Part B Eng. 58, 318–327 (2014)
Bieniaś, J., Dębski, H., Surowska, B., Sadowski, T.: Analysis of microstructure damage in carbon/epoxy composites. Comput. Mater. Sci. 64, 168–172 (2012)
Bîrsan, M., Altenbach, H., Sadowski, T., Eremeyev, V.A., Pietras, D.: Deformation analysis of functionally graded beams by the direct approach. Compos. Part B. 43, 1315–1328 (2012)
Bochenek, B., Pyrz, R.: Reconstruction of random microstructures - a stochastic optimization problem. Comput. Mater. Sci. 31, 93–112 (2004)
Chang, S.-H., Parinov, I., Topolov, V.Y.: Advanced Materials Physics, Mechanics and Applications. Springer, Cham, Heidelberg, New York, Dordrecht, London (2014)
Halpin, J.C., Kardos, J.C.: The Halpin-Tsai equation. A review. Polym. Eng. Sci. 16, 344–352 (1976)
Jones, R.M.: Mechanics of Composite Materials. Taylor and Francis Inc., Philadelphia/Levittown/London (1999)
Kurzydłowski, K.J., Ralph, B.: The Quantitative Description of the Microstructure of Materials. CRC, London (1995)
Megnis, M., Varna, J.: Micromechanics based modeling of nonlinear viscoplastic response of unidirectional composite. Comput. Mater. Sci. 63, 19–31 (2003)
Postek, E., Sadowski, T.: Assessing the influence of porosity in the deformation of metal-ceramic composites. Compos. Interfaces 18, 57–76 (2011)
Pyrz, R., Bochenek, B.: Topological disorder of microstructure and its relation to the stress field. Int. J. Solids Struct. 19, 2413–2427 (1998)
Pyrz, R.: Morphological characterization of microstructures. In: Kelly, A., Zweben, C. (eds.) Comprehensive Composite Materials, pp. 465–478. Elsevier Science, Oxford (2000)
Raghavan, P., Ghosh, S.: A continuum damage mechanics model for unidirectional composites undergoing interfacial debonding. Mech. Mater. 37, 955–979 (2005)
Sadowski, T., Golewski, G.: Effect of aggregate kind and graining on modelling of plain concrete under compression, Comput. Mat. Sci. 43, 119–126 (2008)
Sadowski, T., Golewski, P.: The influence of quantity and distribution of cooling channels of turbine elements on level of stresses in the protective layer TBC and the efficiency of cooling, Comput. Mater. Sci. 52, 293–297 (2012a)
Sadowski, T., Golewski, P.: Detection and numerical analysis of the most efforted places in turbine blades under real working conditions, Comput. Mater. Sci. 64, 285–288 (2012b)
Sadowski, T., Samborski, S.: Development of damage state in porous ceramics under compression. Comput. Mater. Sci. 43, 75–81 (2008)
Samborski, S.: Numerical analysis of the DCB test configuration applicability to mechanically coupled Fiber Reinforced Laminated Composite beams. Compos. Struct. 152, 477–487 (2016) of communication. AT&T Technol. J. 27, 379–423, 623–656 (1948)
Sun, L., Gibson, R.F., Gordaninejad, F., Suhr, J.: Energy absorption capability of nanocomposites: A review. Compos. Sci. Technol. 69, 2392–2409 (2009)
Talreja R. Multiscale modeling of damage in composite materials. In: Sadowski, T., Trovalusci, P. (eds.) CISM International Centre for Mechanical Sciences, Courses and Lectures Vol. 556: Multiscale modeling of complex materials. Phenomenological, theoretical and computational aspects, pp. 179–209. Springer, Wien Heidelberg New York Dodrecht London (2014), p. 539. Clarendon Press. Oxford. Great Britain (1938)
Torquato, S.: Exact expression for the effective elastic tensor of disordered composites. Phys. Rev. Lett. 79, 681 (1997)
Wada, A., Fukuda, H.: Approximate upper and lower bounds for the strength of unidirectional composites. Compos. Sci. Technol. 59, 89–95 (1999)
Werwer, M., Cornec, A., Schwalbe, K.-H.: Local strain fields and global plastic response of continuous fiber reinforced metal-matrix composites under transverse loading. Comput. Mater. Sci. 12, 124–136 (1998)
Wolszczak, P., Cechowicz, R.: Examination of the influence of shear micro geometrical properties on transverse elasticity the modulus of roving composite materials used in critical constructions. Composite Materials For Structural Performance: Towards Higher Limits. Book Series: Riso International Symposium on Material Science, pp. 487–496. (2011)
Yazdanbakhsh, A., Grasleyb, Z., Tysonc, B., Al-Rub, R.K.A.: Dispersion quantification of inclusions in composites. Compos. Part A. 42, 75–83 (2011)
Yu, Y., Zhang, B., Tang, Z., Qi, G.: Stress transfer analysis of unidirectional composites with randomly distributed fibers using finite element method. Compos. Part B. 69, 278–285 (2015)
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Wolszczak, P., Samborski, S., Sadowski, T. (2018). On Parameterization of the Reinforcement Phase Distribution in Continuous Fiber-Reinforced Composites. In: Meguid, S., Weng, G. (eds) Micromechanics and Nanomechanics of Composite Solids. Springer, Cham. https://doi.org/10.1007/978-3-319-52794-9_15
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