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Modified constitutive relation error for field identification: Theoretical and experimental assessments on fiber orientation identification in a composite material
Author(s) -
Ferrier Renaud,
Cocchi Aldo,
Hochard Christian
Publication year - 2021
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.6842
Subject(s) - digital image correlation , constitutive equation , regularization (linguistics) , identification (biology) , mathematics , norm (philosophy) , computer science , algorithm , structural engineering , artificial intelligence , engineering , materials science , composite material , finite element method , botany , law , political science , biology
This article addresses the application of the modified constitutive relation error to field identification problems in the framework of elastostatics. We show how relevant is the addition of a gradient‐penalizing regularization term (in normL 1orL 2), and emphasize the role played by unreliable boundary conditions. This leads to the proposition of a method using two parameters, for which automatic determination is addressed. All theoretical assessments are illustrated on experimental data. The test‐problem consists in the identification of the heterogeneous fiber‐orientation in a woven fabric composite from a unique quasi‐static tensile test with digital image correlation.