Premium
Doubly asymptotic multi‐directional transmitting boundary for dynamic unbounded medium‐structure‐interaction analysis
Author(s) -
Wolf John P.,
Song Chongmin
Publication year - 1995
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290240204
Subject(s) - boundary (topology) , limit (mathematics) , finite element method , mathematical analysis , asymptotic analysis , perpendicular , boundary value problem , matrix (chemical analysis) , wave propagation , physics , geometry , mathematics , optics , materials science , composite material , thermodynamics
The novel doubly asymptotic multi‐directional transmitting boundary combines the advantages of the doubly asymptotic and multi‐directional formulations. It is rigorous for the low‐frequency limit (static case) and the high‐frequency limit in the wave‐propagation direction perpendicular to the artificial boundary and at all the preselected angles corresponding to various apparent velocities. It is implemented straightforwardly in the finite‐element method. The doubly asymptotic multi‐directional transmitting boundary is temporally local and spatially either global or local depending on the implementation of the static‐stiffness matrix. It leads to much higher accuracy than other transmitting boundaries with the same finite‐element mesh.