Effective transverse response of fiber composites with nonlinear interface

Asymptotic study of imperfect interfaces in conduction through a granular composite material

“…Variational formulations with such imperfect bonding conditions were given by Hashin (1992) and Lipton & Vernescu (1995). Nonlinear interfaces were studied by Levy (1996Levy ( , 2000 and Levy & Dong (1998).…”

Shear wave propagation in layered composites with degraded matrices at locations of imperfect bonding

“…Analogously to the here presented procedure to derive such linear bonding model, this model can be extended to describe a nonlinear imperfect interface. Examples of works that model interface model elastic interface model viscoelastic nonlinear imperfect interfaces are the articles by Levi & Dong [53], Levi [54], Andrianov et al [38] and Danishevskyy et al [55]. A similar approach to model nonlinear thermal resistance can be found in [56,57].…”

Structural interfaces in linear elasticity. Part I: Nonlocality and gradient approximations

“…When the function g is linear and positive-definite, the formulation greatly simplifies, but it then allows unphysical interpenetration of the material in contact (when the interface is subject to compressive tractions). Interfacial nonlinearity may be introduced to model different situations of interest [see, for instance, applications in: fragmentation and decohesion (Camacho and Ortiz, 1996;Needleman, 1992;Rice and Wang, 1989), interactions between inclusions (Levy and Hardikar, 1999), bifurcation (Radi et al, 1999), composites (Levy and Dong, 1998;Lipton and Talbot, 2001), biomechanics (Mann et al, 1997;Gei et al, 2002)] and may avoid the interpenetration by the introduction of a suitable penalty in compression. Recently, efforts have been made to provide models of thick interfaces, where the boundary value problem consisting of a three-phase configuration is replaced by a problem which involves only two phases plus some matching condition simulating the interphase (Benveniste and Miloh, 2001;Hashin, 2002;Rubin and Benveniste, 2004).…”