TY - JOUR

T1 - A projection-based approach to extend digital volume correlation for 4D spacetime measurements

AU - Kosin, Viktor

AU - Fau, Amélie

AU - Jailin, Clément

AU - Smaniotto, Benjamin

AU - Wick, Thomas

AU - Hild, François

N1 - Funding Information: Discussions are acknowledged within the framework of the International Research Training Group on Computational Mechanics Techniques in High Dimensions GRK 2657 funded by the German Research Foundation (DFG) under Grant Number 433082294. Funding Information: Funding. Financial support from the French-German University through the French-German Doctoral college “Sophisticated Numerical and Testing Approaches” (CDFA-DFDK 19-04) is acknowledged. This project was also partially supported by the French “Agence Nationale de la Recherche” through the “Investissements d’avenir” program (ANR-10-EQPX-37 MATMECA Grant).

PY - 2023

Y1 - 2023

N2 - In-situ (tomography) experiments are generally based on scans reconstructed from a large number of projections acquired under constant deformation of samples. Standard digital volume correlation (DVC) methods are based on a limited number of scans due to acquisition duration. They thus prevent analyses of time-dependent phenomena. In this paper, a modal procedure is proposed that allows time-dependent occurrences to be analyzed. It estimates spacetime displacement fields during the whole loading history. The spatial modes are based on standard DVC, which is subsequently enriched using projection-based digital volume correlation (P-DVC) to measure the temporal amplitudes. The method is applied to two cases, namely, a virtual experiment mimicking wedge splitting and an actual shear test on a pantographic metamaterial inducing large motions. With the proposed method, the temporal amplitude in the real test was measured for each projection leading to a temporal resolution of one tenth of a second and the analysis of 16,400 time steps. For the proposed algorithm, the sensitivity to the acquisition angle of the sample was investigated and measurement uncertainties were assessed.

AB - In-situ (tomography) experiments are generally based on scans reconstructed from a large number of projections acquired under constant deformation of samples. Standard digital volume correlation (DVC) methods are based on a limited number of scans due to acquisition duration. They thus prevent analyses of time-dependent phenomena. In this paper, a modal procedure is proposed that allows time-dependent occurrences to be analyzed. It estimates spacetime displacement fields during the whole loading history. The spatial modes are based on standard DVC, which is subsequently enriched using projection-based digital volume correlation (P-DVC) to measure the temporal amplitudes. The method is applied to two cases, namely, a virtual experiment mimicking wedge splitting and an actual shear test on a pantographic metamaterial inducing large motions. With the proposed method, the temporal amplitude in the real test was measured for each projection leading to a temporal resolution of one tenth of a second and the analysis of 16,400 time steps. For the proposed algorithm, the sensitivity to the acquisition angle of the sample was investigated and measurement uncertainties were assessed.

KW - Digital volume correlation (DVC)

KW - in-situ tests

KW - spacetime analyses

KW - tomography

UR - http://www.scopus.com/inward/record.url?scp=85167923548&partnerID=8YFLogxK

U2 - 10.5802/crmeca.192

DO - 10.5802/crmeca.192

M3 - Article

AN - SCOPUS:85167923548

VL - 351

SP - 265

EP - 280

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

SN - 1631-0721

ER -