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Performing RVE calculations under constant stress triaxiality for monotonous and cyclic loading
Author(s) -
Lin R. C.,
Steglich D.,
Brocks W.,
Betten J.
Publication year - 2005
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.1600
Subject(s) - mesoscopic physics , rotational symmetry , finite element method , traction (geology) , stress (linguistics) , boundary value problem , constant (computer programming) , materials science , displacement (psychology) , realization (probability) , structural engineering , mechanics , mathematical analysis , mathematics , physics , computer science , engineering , mechanical engineering , psychology , linguistics , philosophy , statistics , quantum mechanics , psychotherapist , programming language
Abstract In the present work the mesoscopic stress, strain rate and strain states of axisymmetric cells under two types of boundary loadings are formulated. Then, the stress triaxiality of axisymmetric cells is expressed in terms of the axial and radial mesoscopic stress components. Based on the formulations of the mesoscopic stress, three strategies for numerical realization of constant stress triaxiality are presented. The advantages and disadvantages of these strategies are discussed. These numerical strategies are implemented on the platform of the general‐purpose finite element programme ABAQUS. They can be applied for representative volume element (RVE) calculations under constant triaxiality, monotonous and cyclic loading controlled by displacement, force, traction and the mesoscopic equivalent strain of the RVE. Several numerical examples are shown to prove the effectivity of these strategies and programme. Copyright © 2005 John Wiley & Sons, Ltd.