Sensitivity-based virtual fields for the non-linear virtual fields method

Comput Mech. 2017;60(3):409-431. doi: 10.1007/s00466-017-1411-6. Epub 2017 Apr 28.

Abstract

The virtual fields method is an approach to inversely identify material parameters using full-field deformation data. In this manuscript, a new set of automatically-defined virtual fields for non-linear constitutive models has been proposed. These new sensitivity-based virtual fields reduce the influence of noise on the parameter identification. The sensitivity-based virtual fields were applied to a numerical example involving small strain plasticity; however, the general formulation derived for these virtual fields is applicable to any non-linear constitutive model. To quantify the improvement offered by these new virtual fields, they were compared with stiffness-based and manually defined virtual fields. The proposed sensitivity-based virtual fields were consistently able to identify plastic model parameters and outperform the stiffness-based and manually defined virtual fields when the data was corrupted by noise.

Keywords: Digital image correlation; Elasto-plastic; Full field measurement; Inverse identification; Sensitivity-based virtual fields; Virtual fields method.