© Hindawi Publishing Corp. STRESS WAVES IN A MICROPERIODIC LAYERED ELASTIC SOLID REVISITED

Abstract. A one-dimensional pure stress initial boundary value problem of linear elasto-dynamics for a microperiodic layered semi-space in which a microstructural length is taken into account is revisited. Also, the plane stress harmonic waves propagating in a micrope-riodic layered infinite elastic space are discussed. It is shown that (i) for a particular sys-tem of the length and time units the transient stress waves in the microperiodic layered semi-space are independent of the microstructural length, and (ii) there are two dispersive plane stress harmonic waves propagating in a microperiodic layered infinite elastic space. The graphs illustrating the transient stress waves in the semi-space and the dispersion of harmonic waves in the infinite space are included. 2000 Mathematics Subject Classification. 74H05, 74H25, 74H45, 74J05, 74Q10. 1. Basic field equations for a microperiodic layered elastic semi-space. Consider a layered semi-infinite elastic solid composed of an infinite number of identical sub-units that are mechanically bonded to form a spatially periodic pattern as shown in Figure 1.1. Each subunit consists of two layers that, in general, have different dimen-sions and are made of different homogeneous isotropic elastic materials. Let li, ρi, λi