Work

A class of optimal virtual fields for inverse problems in elasticity

Year: 2026

Type: article

Abstract: This work addresses the identification of nonhomogeneous constitutive parameters from full-field measurements in both linear and nonlinear elasticity, considering incompressible as well as compressible materials. The inverse identification procedure relies on the Virtual Fields Method (VFM), which is based on the principle of virtual work with specifically chosen virtual fields. We propose an optimal class of virtual fields, designed to optimize the reconstruction stability with respect to measurement noise. A series of numerical experiments illustrate the effectiveness of the proposed approach. The method exhibits moderate sensitivity to measurement noise and remains robust even when the boundary conditions are only partially known.

Source: Comptes Rendus Mécanique

DOI: 10.5802/crmeca.361

Authors: Nagham Chibli, Martin Genet, Sébastien Imperiale

Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Centre de Mathématiques Appliquées de l'École polytechnique, Centre Inria de Saclay

Language: English

Topic: Optical measurement and interference techniques

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7160400859

FWCI: 3.058

Cites: 36

Cited by: 1

Related to: