Robust method for identifying material parameters based on virtual fields in elastodynamics

Clément Touzeau, Benoît Magnain, Gilles Lubineau, Eric Florentin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We develop an inverse method with the purpose of extracting elastic properties of materials in the framework of transient dynamics. To this end, we create a small linear system based on a set of well-chosen time-dependent virtual fields (VF) and measurement data. The parameters are the solutions of this system and can be quickly extracted. We compare this new method with the classical finite element model updating (FEMU) method for different case studies. In our study, the measurements are synthetic, i.e, they are calculated using a fine finite element (FE) model. Uniform white noise is added to model measurement uncertainties. Results, based on Monte Carlo simulations, show that our method is more robust and accurate than the FEMU method for an acceptable noise level. Our new method appears well-adapted to linear elasticity in transient dynamics.

Original languageEnglish (US)
Pages (from-to)3021-3042
Number of pages22
JournalComputers and Mathematics with Applications
Issue number11
StatePublished - Jun 1 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd


  • Linear elasticity
  • Robust identification
  • Time-dependent virtual fields
  • Transient dynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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