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Optimal penalty stiffness values of concurrent 2D elastic interface elements leading to accurate stress tractions
Author(s) -
Ciancio D.,
Carol I.,
Castellazzi G.
Publication year - 2014
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.4633
Subject(s) - stiffness , interface (matter) , stress (linguistics) , set (abstract data type) , interface model , structural engineering , geometry , penalty method , mathematics , mechanics , mathematical analysis , computer science , engineering , mathematical optimization , physics , linguistics , philosophy , bubble , human–computer interaction , maximum bubble pressure method , programming language
SUMMARY Zero‐thickness interface elements are used to model contact surfaces or potential cracks. In these cases, their elastic stiffness is often set extremely high to reproduce a rigid behavior. This paper shows that the values of the stress tractions at the nodes of these elements can be affected by an error. A new procedure is proposed here, consisting of adding some nondimensional coefficients (purely geometry‐dependent) to the values of the interface stiffness parameters. Thus doing, the accurate tractions at the interface nodes are recovered. Copyright © 2014 John Wiley & Sons, Ltd.