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Computational homogenization of soft matter friction: Isogeometric framework and elastic boundary layers
Author(s) -
Temizer İ.
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.4778
Subject(s) - isogeometric analysis , homogenization (climate) , micromechanics , embedding , robustness (evolution) , unilateral contact , contact mechanics , lagrangian , contact force , polygon mesh , computer science , computational mechanics , augmented lagrangian method , mechanics , materials science , mathematics , classical mechanics , finite element method , mathematical analysis , structural engineering , physics , geometry , algorithm , engineering , artificial intelligence , biodiversity , ecology , biochemistry , chemistry , composite number , gene , biology
SUMMARY A computational contact homogenization framework is established for the modeling and simulation of soft matter friction. The main challenges toward the realization of the framework are (1) the establishment of a frictional contact algorithm that displays an optimal combination of accuracy, efficiency, and robustness and plays a central role in (2) the construction of a micromechanical contact test within which samples of arbitrary size may be embedded and which is not restricted to a single deformable body. The former challenge is addressed through the extension of mixed variational formulations of contact mechanics to a mortar‐based isogeometric setting where the augmented Lagrangian approach serves as the constraint enforcement method. The latter challenge is addressed through the concept of periodic embedding, with which a periodically replicatedC 1 ‐continuous interface topography is realized across which not only pending but also ensuing contact among simulation cells will be automatically captured. Two‐dimensional and three‐dimensional investigations with unilateral/bilateral periodic/random roughness on two elastic micromechanical samples demonstrate the overall framework and the nature of the macroscopic frictional response. Copyright © 2014 John Wiley & Sons, Ltd.