ASYMPTOTIC ANALYSIS OF A HYPERBOLIC MIXED PROBLEM IN ONE-DIMENSIONAL VISCOELASTICITY

Authors
ONCU TS MOODIE TB
Citation
Ts. Oncu et Tb. Moodie, ASYMPTOTIC ANALYSIS OF A HYPERBOLIC MIXED PROBLEM IN ONE-DIMENSIONAL VISCOELASTICITY, Studies in applied mathematics, 90(2), 1993, pp. 91-117
Citations number
25
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studies in applied mathematics → ACNP
ISSN journal
00222526
Volume
90
Issue
2
Year of publication
1993
Pages
91 - 117
Database
ISI
SICI code
0022-2526(1993)90:2<91:AAOAHM>2.0.ZU;2-F
Abstract
We present an asymptotic analysis of the boundary-generated, small-amp litude, high-frequency waves in a one-dimensional, semi-infinite, visc oelastic solid characterized by a single-integral constitutive functio nal. The equations governing the wave motion constitute a 2x2 system o f hyperbolic Volterra integrodifferential equations. The method of ana lysis is based on a single-wave expansion of nonlinear geometric optic s.