Wave splitting in linear viscoelasticity

✍ Scribed by M. Romeo

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 138 KB
• Volume: 18
• Category: Article
• ISSN: 0997-7538
• DOI: 10.1016/s0997-7538(99)00137-0

✦ Synopsis

The problem of transient propagation in a homogeneous linear viscoelastic solid is investigated by means of the wave splitting technique. Two mechanical viscoelastic models are considered in particular, corresponding respectively to a single Maxwell element and to the series of a Maxwell element plus a Kelvin element. Analytical solutions for the split field are evaluated in terms of the wave propagator via the Laplace transforms. The reflectivity of a viscoelastic half-space is explicitly for the two mechanical models and the corresponding inverse problem is approached. Finally, the reflection and transmission problem for a transient wave is solved for a viscoelastic layer.