A recursive asymptotic homogenization scheme for multi-phase fibrous elastic composites

Evaluation of influence of interphase material parameters on effective material properties of three phase composites

“…The effective material properties obtained using numerical homogenization technique are compared with analytical asymptotic homogenization method reported by Guinovart et al [15,19,20]. Also a comparison is made between the square and hexagonal arrangements of fiber composites.…”

Higher order asymptotic homogenization and wave propagation in periodic composite materials

“…Further, application of the volume-integral homogenizing operator provides a link from the micro-to macroscopic behaviour of the material and allows the evaluation of effective properties. Theoretical foundations of the method have been developed by Bakhvalov (1974), Babuska (1976), Bensoussan et al (1978), Sánchez-Palencia (1980) and Bakhvalov & Panasenko (1989); a number of recent applications can be found in the works of Meguid & Kalamkarov (1993), Parton & Kudryavtsev (1993), Jikov et al (1994), Kalamkarov & Kolpakov (1997), Boutin et al (1998), Boutin (2000), Rodríguez-Ramos et al (2001), Andrianov et al (2002aAndrianov et al ( ,b, 2005Andrianov et al ( , 2007a, Manevitch et al (2002), Miehe et al (2002), Périn (2004), Berdichevsky (2005), Berger et al (2005), Guinovart-Díaz et al (2005), Kamiński (2005), Parnell & Abrahams (2006) and Santos et al (2006).…”

Effective properties of multiphase composites made of elastic materials with hierarchical structure

“…It is known that finite element analysis (FEA) methods are not sufficient to solve heterogeneous problems, since heterogeneities impose restrictions on the size of elements and make too expensive the discretization of heterogeneous structures (Bensoussan et al, 1978;Guedes & Kikuchi, 1990;Hollister & Kikuchi, 1992), unless they are combined with micromechanical and/or analytical methods (Hashin, 1983;Kalamkarov & Kolpakov, 1997;Nemat-Nasser & Hori, 1999;Aboudi et al, 1999;Nemat-Nasser, 1999;Guinovart-Diaz et al, 2005;Chatzigeorgiou & Charalambakis, 2005;Love & Batra, 2006;Chatzigeorgiou et al, 2007;Kalamkarov et al, 2009;Nie et al, 2011;Wu et al, 2014;Chatzigeorgiou et al, 2014;Berrehili, 2014;Abd-Alla et al, 2014;Tu & Pindera, 2014;Savvas et al, 2014;Mahmoud et al, 2014).…”