ABSTRACT

Layered media form a large class of composites. Examples of layered materials include sedimentary rocks, atmospheric strata, the nacre shells of crustaceans, hightemperature copper-oxide semiconductors, martensitic twins in metals and alloys, laminated resin-fiber composites, and numerous other materials. Waves in such media have been studied extensively. Detailed expositions can be found in Brekhovskikh (1960) and Chew (1995). A good introduction to the elastodynamics of layered media can be found in Aki and Richards (1980) and a broader perspective can be found in Carcione (2007). Homogenization of layered media is covered in detail in Milton (2002) and a mathematical description with historical context can be found in Tartar (2009).