“…Moreover, there has been very little emphasis placed on the development of an effective micromechanical constitutive model that can explain the damping characteristics of hard coatings based on the physical insights from the few experimental studies and microstructural characterizations that exist in the literature on the nonlinear damping of thermal barrier atomic equilibrium separation at maximum potential energy k cr atomic critical separation at maximum interaction force B + , B À positive and negative sides of an interfacê e 1 ;ê 2 ;ê 3 unit vectors n normal to the interface d, d N , d T total, normal, and tangential displacement jumps across the interface d e T ; d p T elastic and plastic tangential displacement jumps t, t N , t T total, normal, and tangential conjugate tractions applied strain-amplitude E 0 and E 00 storage and loss moduli ceramic coatings (e.g. Shipton and Patsias, 2003;Patsias et al, 2004;Reed, 2007;Reed et al, 2007;Pearson, 2008;Torvik, 2009). To the authors' best knowledge, there have been only two attempts to model the nonlinear damping behavior of plasma sprayed TBCs.…”