Generalized characteristic method of elastodynamics

Transient motion of an anisotropic elastic half-space due to a buried line source

“…The arrivals of direct P-wave and S-wave are indicated by P and S. The arrivals of the reflected P-wave and S-wave due to the incident P-wave are indicated, respectively, by PP and PS; those due to the incident S-wave are indicated by SP and SS. The result is in close agreement with that in (Su and Farris, 1994). Fig.…”

Wave motion in relaxation-testing of nonlinear elastic media

“…This work studies these issues through a solution for wave motion in a nonlinear elastic, model relaxation specimen, and describes how the results can be applied to characterization of some viscoelastic materials. Although linear elastic and linear viscoelastic material models applied to the same specimens result in linear equations that can be solved with well-established methods (Achenbach 1973;Eringen & Suhubi 1975;Suf & Farris 1994;Ginsberg 2001;Barclay 2004), the nonlinear material model used in this paper results in a hyperbolic wave equation (Jeffrey & Taniuti 1964;Nayfeh & Mook 1979;Bukiet et al 1996;Thoo & Hunter 2003). Nonlinear wave equations can be solved using numerical techniques (Armen & Garnet 1976;Shamardan 1990;Bukiet et al 1996) and several analytical schemes including the perturbation method (Giacaglia 1972;Skorokhod et al 2002), the method of multiple scales (Kakutani et al 1968;Achenbach 1973;Whitham 1974;Nayfeh & Mook 1979) and the method of characteristics (Fox 1955;Jeffrey & Taniuti 1964).…”