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A two‐dimensional BEM/FEM coupling applied to viscoelastic analysis of composite domains
Author(s) -
Mesquita A. D.,
Coda H. B.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.676
Subject(s) - viscoelasticity , finite element method , coupling (piping) , boundary element method , domain (mathematical analysis) , boundary (topology) , generality , constitutive equation , numerical analysis , boundary value problem , mathematical analysis , mathematics , structural engineering , materials science , engineering , composite material , psychology , psychotherapist
A coupling between the boundary‐element and finite‐element methods is studied for the viscoelastic analysis of reinforced media. The viscous behaviour of the composed body is taken into account by an alternative BEM methodology developed for the Boltzmann model. This methodology is based on differential constitutive relations for viscoelasticity. The reinforcements are modelled by finite elements and are considered elastic. The coupling is based on the sub‐region technique due to its generality and easy implementation. The resulting time‐marching process is able to represent both the instantaneous and the time‐dependent behaviour of a body subjected to general boundary conditions. The method is validated by an experimental result and its accuracy tested by comparing numerical results with analytical solutions. The generality of the method is proved by an infinite domain application. Copyright © 2003 John Wiley & Sons, Ltd.