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

Marek, Aleksander; Davis, Frances M.; Pierron, Fabrice

doi:10.1007/s00466-017-1411-6

Cited by 78 publications

(73 citation statements)

References 29 publications

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“…The optimised definition of virtual fields for an elastoplastic problem is still an unresolved issue. Special virtual fields and sensitivity‐based virtual fields can be automatically generated to minimise the impact of the noised strain fields and was also applied in plastic parameters identification but only yield a relative success . Select suitable virtual fields are significant in the VFM identification employing noised test data.…”

Section: Resultsmentioning

confidence: 99%

Single‐camera special stereo‐digital image correlation applied for accurate virtual fields method identification

Zhang

Zhao

Chi

2019

Strain

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A single-camera special stereo-DIC (SS-DIC) is proposed for accurate virtual fields method (VFM) identification. The single-camera SS-DIC allows accurate surface 3D deformation measurements using a single colour camera and a specially designed colour separation device. It not only effectively eliminates the unavoidable out-of-plane movement/rotation due to unideal in-plane loading but also delivers uniformly distributed measurement points that brings great simplicity and convenience for internal virtual work calculation in VFM. In addition, since only a single camera is used for stereovision, the proposed SS-DIC system requires no complicated synchronisation devices. The effectiveness and practicality of the proposed method are evaluated by heterogeneous deformation experiments of a holed aluminium alloy and 304 stainless steel plate. Combined with a high-speed colour camera, the proposed method is expected to be a simple and practical method for the calibration of material constitutive model under intermediate and high strain rate conditions using VFM. KEYWORDS full-fields measurement, stereo-digital image correlation, virtual fields method

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Section: Resultsmentioning

confidence: 99%

Single‐camera special stereo‐digital image correlation applied for accurate virtual fields method identification

Zhang

Zhao

Chi

2019

Strain

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“…• let us mention that it was recently proposed to use the sensitivity elds as computed virtual elds for using the virtual eld method in the context of nonlinear constitutive laws [55]. It is interesting to note how close this choice actually brings the VFM to the original FEMU technique that extensively uses sensitivity elds [4,56].…”

Section: Virtual Fields Methods (Vfm)mentioning

confidence: 99%

Optimal procedure for the identification of constitutive parameters from experimentally measured displacement fields

Roux

Hild

2020

International Journal of Solids and Structures

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Measured displacement elds constitute a rich database for the identication of mechanical behavior. A variety of methods are available today to address this problem. A formalism is proposed showing that they all revert to the minimization of a quadratic norm (or semi-norm) between measured and computed displacement elds. However, they dier in the chosen metric.Transporting image noise through Digital Image Correlation and identication procedures, the uncertainty in the measured displacement elds (i.e., their full covariance) and the resulting uncertainty in the estimated constitutive parameters is assessed. Consequently, an optimal choice of metric (with respect to image noise) is proposed so that the resulting identication uncertainty is minimized.

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“…The contribution of each constitutive parameter to the response of the material is very different and unique. Therefore, a scaling in the cost function should be added (see [1] and [11]).…”

Section: Sensitivity-based Virtual Displacement Fieldsmentioning

confidence: 99%

Identification of Constitutive Parameters Governing the Hyperelastic Response of Rubber by Using Full-Field Measurement and the Virtual Fields Method

Tayeb

Cam

Grédiac

et al. 2020

Conference Proceedings of the Society for Experimental Mechanics Series

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In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate the displacement and strain fields required by the identification procedure. Two different hyperelastic models were considered: the Mooney model and the Ogden model. Applying the VFM to the Mooney model leads to a linear system that involves the hyperelastic parameters thanks to the linearity of the stress with respect to these parameters. In the case of the Ogden model, the stress is a nonlinear function of the hyperelastic parameters and a suitable procedure should be used to determine virtual fields leading to the best identification. This complicates the identification and affects its robustness. This is the reason why the sensitivity-based virtual field approach recently proposed in case of anisotropic plasticity by Marek et al. (2017) [1] has been successfully implemented to be applied in case of hyperelasticity. Results obtained clearly highlight the benefits of such an inverse identification approach in case of non-linear systems.

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

Cited by 78 publications

References 29 publications

Single‐camera special stereo‐digital image correlation applied for accurate virtual fields method identification

Single‐camera special stereo‐digital image correlation applied for accurate virtual fields method identification

Optimal procedure for the identification of constitutive parameters from experimentally measured displacement fields

Identification of Constitutive Parameters Governing the Hyperelastic Response of Rubber by Using Full-Field Measurement and the Virtual Fields Method

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