Modified constitutive relation error: An identification framework dealing with the reliability of information

Abstract This paper proposes an identification strategy based on the principles of the Modified Constitutive Relation Error (M-CRE). The basic idea is to construct mechanical fields and material parameters that are a trade-off between all the available information but with no further hypothesis. The paper focuses on the identification of elastic properties from DIC (Digital Image Correlation) data in statics and the dealing of various kinds of boundary conditions (unknown or known) is especially discussed. We study our methodology on numerical examples in both homogeneous and heterogeneous isotropic elasticity, but a target application is the orthotopic behavior of aeronautic composites.

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