TY - JOUR
T1 - The constitutive compatibility method for identification of material parameters based on full-field measurements
AU - Moussawi, Ali
AU - Lubineau, Gilles
AU - Florentin, Éric
AU - Blaysat, Benoît
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/10
Y1 - 2013/10
N2 - We revisit here the concept of the constitutive relation error for the identification of elastic material parameters based on image correlation. An additional concept, so called constitutive compatibility of stress, is introduced defining a subspace of the classical space of statically admissible stresses. The key idea is to define stresses as compatible with the observed deformation field through the chosen class of constitutive equation. This makes possible the uncoupling of the identification of stress from the identification of the material parameters. As a result, the global cost of the identification is strongly reduced. This uncoupling also leads to parametrized solutions in cases where the solution is non-unique as demonstrated on 2D numerical examples. © 2013 Elsevier B.V.
AB - We revisit here the concept of the constitutive relation error for the identification of elastic material parameters based on image correlation. An additional concept, so called constitutive compatibility of stress, is introduced defining a subspace of the classical space of statically admissible stresses. The key idea is to define stresses as compatible with the observed deformation field through the chosen class of constitutive equation. This makes possible the uncoupling of the identification of stress from the identification of the material parameters. As a result, the global cost of the identification is strongly reduced. This uncoupling also leads to parametrized solutions in cases where the solution is non-unique as demonstrated on 2D numerical examples. © 2013 Elsevier B.V.
UR - http://hdl.handle.net/10754/562992
UR - https://linkinghub.elsevier.com/retrieve/pii/S0045782513001552
UR - http://www.scopus.com/inward/record.url?scp=84880261847&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2013.06.003
DO - 10.1016/j.cma.2013.06.003
M3 - Article
SN - 0045-7825
VL - 265
SP - 1
EP - 14
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -