Sensitivity of the virtual fields method to noisy data

By Stephane Avril, Michel Grédiac, Fabrice Pierron. 2004

205 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9567338c68d3ae8ae1ea3a456221cdc84bc884bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. François Hild
2. Fabrice Pierron
3. Stéphane Roux
4. Michel Grédiac
5. Hugo Leclerc
6. F. Mathieu
7. Stephane Avril
8. Bing Pan

In Mechanical Engineering

1. Fabrice Pierron
2. Michel Grédiac
3. François Hild
4. Stéphane Roux
5. Stephane Avril
6. Stéphane Pagano
7. F. Latourte
8. Marc Bonnet

In Mechanics of Materials

1. François Hild
2. Stéphane Roux
3. Fabrice Pierron
4. Michel Grédiac
5. F. Mathieu
6. Hugo Leclerc
7. Stéphane Pagano
8. F. Latourte

Citations in the corpus

• Towards Material Testing 2.0. A review of test design for identification of constitutive parameters from full‐field measurements (2020, methodology): “In elasticity, the relevant quality indicators are the noise sensitivity parameters ηij , which relate the standard deviation of the strain noise to the standard deviation of each Qij stiffness parameter as in [118].”
• Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields (2011, unknown): “Different techniques can be adopted, e.g. in recent applications of the VFM a procedure to automatically generate optimized virtual fields by a minimization of the sensitivity to noise was developed in Avril et al. [56] and adapted to elasto-plasticity in Pierron et al. [37].”
• Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements (2008, background): “This extra freedom allows to define special fields so that the identification of θ is least sensitive to measurement noise [4, 34].”
• Estimation of Elastoplastic Parameters via Weighted FEMU and Integrated-DIC (2015, background): “Conversely, optimized virtual elds have been constructed to account for noise sensitivity [5].”
• The Virtual Fields Method for Extracting Constitutive Parameters From Full‐Field Measurements: a Review (2006, unknown): “Tests show that this algorithm converges in practice in less than four iterations whatever the choice of initial values for the unknown parameters [23].”