Homogenization of aligned “fuzzy fiber” composites

• Published in: International journal of solids and structures Vol. 48; no. 19; pp. 2668 - 2680
• Main Authors: Chatzigeorgiou, George, Efendiev, Yalchin, Lagoudas, Dimitris C.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 15.09.2011; Elsevier
• Subjects: Alignment; Applied sciences; Asymptotic expansion homogenization method; Asymptotic expansions; Carbon fibers; Carbon nanotubes; Composites; Exact sciences and technology; Forms of application and semi-finished materials; Fundamental areas of phenomenology (including applications); Fuzzy; Fuzzy logic; Fuzzy set theory; Homogenization; Homogenizing; Mathematical models; Physics; Polymer industry, paints, wood; Solid mechanics; Structural and continuum mechanics; Technology of polymers; Asymptotic expansion homogenization method; Carbon nanotubes; Carbon fibers; method; Interphase; Fiber reinforced material; Homogenization; Step method; Coordinate system; Modeling; Fuzzy logic; Asymptotic expansion homogenization; Fiber cladding; Asymptotic expansion; Cylindrical coordinate; Homogenization methods; Carbon fiber reinforced plastics; Effective medium model; Carbon fiber
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2011.05.011

The aim of this work is to study composites in which carbon fibers coated with radially aligned carbon nanotubes are embedded in a matrix. The effective properties of these composites are identified using the asymptotic expansion homogenization method in two steps. Homogenization is performed in different coordinate systems, the cylindrical and the Cartesian, and a numerical example are presented.