Parameter identification and model updating in the context of nonlinear mechanical behaviors using a unified formulation of the modified Constitutive Relation Error concept

摘要

The motivation of this work is to propose a general methodology to deal with complex nonlinear mechanical behaviors in the context of identification and model updating problems. We follow here the principle of the modified Constitutive Relation Error that is an energy-based functional suited to the solution of inverse problems, and originally used in the context of elasticity and elasto-dynamics problems with potentially highly corrupted experimental data. In the paper, we develop and analyze an extended formulation of the modified Constitutive Relation Error functional in order to deal with a wide class of nonlinear mechanical behaviors. The general idea in the construction of the functional is to ensure a strong mechanical content by referring to the thermodynamical framework. In addition, a dedicated numerical process sharing similarities with the LaTIn method is proposed in order to allow effective inversion with reasonable computational cost. The performance of the developed procedure is analyzed on 2D elastic-damage and 3D elasto-visco-plastic cases. (C) 2018 Elsevier B.V. All rights reserved.