“…Mechanics of functionally graded materials (FGMs) with spatially varying elastic moduli is of significance to many applications in tribology (Enomoto and Yamamoto, 1998;Donnet and Erdemi, 2004), adhesion (Giannakopoulos and Pallot, 2000;Chen et al, 2009b), geology (Holl, 1940;Booker et al, 1985a,b), biomechanics (Pompe et al, 2003;Hedia and Nemat-Alla, 2004), fracture mechanics (Suresh, 2001), thermo-mechanical systems (Pindera et al, 1998;Nemat-Alla, 2003), energy storage/conversion systems (Kambe and Shikata, 2003;Kato et al, 2006) and nanotechnology (Li et al, 2009;Sioh, 2010). In particular, the contact mechanics of FGMs has received considerable attention in the past (Giannakopoulos and Pallot, 2000).…”