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

Aleksander Marek, Frances M Davis, Fabrice Pierron
Author Information
  1. Aleksander Marek: Faculty of Engineering and the Environment, University of Southampton, Highfield, SO171BJ UK. ORCID
  2. Frances M Davis: Faculty of Engineering and the Environment, University of Southampton, Highfield, SO171BJ UK.
  3. Fabrice Pierron: Faculty of Engineering and the Environment, University of Southampton, Highfield, SO171BJ UK.

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

References

  1. J Biomech. 2010 Nov 16;43(15):2978-85 [PMID: 20673669]
  2. Philos Trans A Math Phys Eng Sci. 2014 Aug 28;372(2023):20130195 [PMID: 25071232]
  3. Biomech Model Mechanobiol. 2017 Jun;16(3):871-887 [PMID: 27909833]

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