On the identification of nonlinear constitutive laws from indentation tests

Andrei Constantinescu (1) , Nicolas Tardieu (1)

1 LMS - Laboratoire de mécanique des solides

This paper addresses the identification of the parameters of a nonlinear constitutive law from indentation tests. The identification problem is considered as a constrained minimization problem and the gradient is computed using the adjoint state method, in spite of the difficulties of the underlying contact problem. This provides a general framework to perform optimization in some problems involving contact conditions and nonlinear material behaviour. The case of a Maxwell viscoelastic and a Norton-Hoff elastoviscoplastic constitutive law are treated extensively and a series of numerical identification examples are shown.

Domaines: Mécanique des solides [physics.class-ph]

Andrei Constantinescu, Nicolas Tardieu. On the identification of nonlinear constitutive laws from indentation tests. Unknown, 1999, Unknown, France. ⟨10.1080/174159701088027751⟩. ⟨hal-00116574⟩