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Zbl 0944.74570
Geers, Thomas L.; Lewis, Brett A.
Doubly asymptotic approximations for transient elastodynamics. (English)
[J] Int. J. Solids Struct. 34, No.11, 1293-1305 (1997). ISSN 0020-7683

Summary: A doubly asymptotic approximation (DAA) is an approximate temporal impedance relation at the boundary of a continuous medium; it approaches exactness at both early and late times, effecting a smooth transition between. Here, first- and second-order DAAs are derived for a uniform, isotropic, elastic medium of either infinite or semi-infinite extent. The derivations proceed from pertinent singly asymptotic approximations and employ the method of operator matching previously used for acoustic domains. A simple problem with spherical symmetry is considered that illustrates the characteristics of the singly and doubly asymptotic approximations.

MSC 2000:: *74J10 Bulk waves
74S30 Other numerical methods

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