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Algorithmically imposed thermodynamic compliance for material models in mechanical simulations using the AIM method
Author(s) -
Dunant C. F.,
Bentz E. C.
Publication year - 2015
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.4969
Subject(s) - convergence (economics) , work (physics) , range (aeronautics) , path (computing) , process (computing) , computer science , mathematics , statistical physics , mechanical engineering , engineering , physics , aerospace engineering , economics , programming language , economic growth , operating system
Summary Thermodynamic irreversibility can be imposed on empirical material behaviour by using an appropriate algorithm which takes the path‐dependence of the degradation process into account. This new algorithm, Algorithmically Imposed Mechanics (AIM), for algorithmically irreversible mechanics, is described, and the convergence and unicity of the solutions obtained are proven. AIM is applicable to a range of mechanical behaviour and is demonstrated to work in conjunction with non‐local damage with rotating cracks as well as a mixed plastic and damage behaviour. Copyright © 2015 John Wiley & Sons, Ltd.