The Virtual Fields Method

Grédiac, Michel; Pierron, Fabrice; Avril, Stéphane; Toussaint, Évelyne; Rossi, Marco

doi:10.1007/978-1-4614-1824-5

Cited by 255 publications

(144 citation statements)

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“…the load measured during the test by the load cell, is used to compute the external virtual work. This operation is typical in VFM practise and will not be commented further, more details are given by Pierron and Grédiac (2012). The origin of axes x and y is placed at the centre of the specimen, as illustrated in Figure 2.…”

Section: Definition Of the Virtual Fieldsmentioning

confidence: 99%

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Application of the virtual fields method to large strain anisotropic plasticity

Rossi

Pierron

Štamborská

2016

International Journal of Solids and Structures

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The identification of the plastic behaviour of sheet metals at severe deformation is extremely important for many industrial application such as metal forming, crashworthiness, automotive, aerospace, piping, etc. In this paper, the virtual fields method (VFM) was employed to identify the constitutive parameters of anisotropic plasticity models. The method was applied using the finite deformation theory in order to account for large strains. First the theoretical principles to implement the method are described in details, especially how to derive the stress field from the strain field. Afterwards a numerical validation was performed using the Hill48 model. Several aspects were studied with the numerical model: the effect of the used virtual fields, the minimum number of specimens required to identify the parameters, the stress distribution obtained from the specimen and its influence in the identification performance. A brief analysis on the influence of noise is also conducted. Finally a series of experiments was conducted on notched specimens of stainless steel, cut along different anisotropic directions. The displacement and strain fields were obtained by digital image correlation. Afterwards, the VFM was used to identify the parameters of the Hill48 model and the Yld2000-2D model. In this case, the Hill48 model was not able to correctly describe the material behaviour, while a rather good agreement was found with the Yld2000-2D model. The potential and the limitation of the proposed method are finally discussed.

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Section: Definition Of the Virtual Fieldsmentioning

confidence: 99%

“…Rossi et al (2008) used the equilibrium of transverse sections of the specimen. Among those approaches, the virtual fields method (VFM) is one of the most used and widespread (Pierron and Grédiac, 2012).…”

Section: Introductionmentioning

confidence: 99%

Application of the virtual fields method to large strain anisotropic plasticity

Rossi

Pierron

Štamborská

2016

International Journal of Solids and Structures

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“…However this method, which is based on the measurement of the velocity profile on the rear face of the sample, relies on the assumption of a linear-elastic behavior of the tested material until the peak-stress and only provides its spall strength with no information on its softening response. More recently, a new processing technique has been proposed [64] to evaluate the stress level in the sample and its apparent Young's modulus thanks to an ultra-high speed camera (HPV-1, Shimadzu, Japan) that is used to visualize the lateral surface of the sample (Fig. 7(b)).…”

Section: Dynamic Tensile Damage and Cracking Of Geomaterialsmentioning

confidence: 99%

On the Use of Digital Image Correlation for the Analysis of the Dynamic Behavior of Materials

Hild

Bouterf

Forquin

et al. 2017

The Micro-World Observed by Ultra High-Speed Cameras

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The present chapter is devoted to the analysis of the mechanical behavior of materials subjected to dynamic loadings via digital image correlation (DIC). This measurement technique provides 2D or 3D displacement fields that can be evaluated thanks to the use of high-speed cameras. Various declinations of DIC are first presented. Uncertainty quantifications are also discussed. Last, different examples illustrate how DIC can be used to analyze and quantify deformation, damage and fracture mechanisms of brittle and ductile materials.

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“…: +420 597 329 421; e-mail address: stamborska.michaela@gmail.com measurements in the identification process is that one test can provide more information. Grédiac, Pieron and Avril stated the overview of the virtual fields method (VFM) and its application in the elastic and plastic range [9].…”

Section: Introductionmentioning

confidence: 99%

Tribological behaviour and local mechanical properties of magnesium-alumina composites

HUANG¹,

LIN²,

Ballóková³

et al. 2016

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The article is focused on the stress analysis of plane specimens made from hypocutectoid steel, using digital image correlation. It is steel used in the manufacture of railway wheels for freight transport.The aim of the article is to measure the displacement fields by using digital image correlation, from which the strain fields are subsequently calculated. By processing the obtained values using the virtual fields method, the isotropic elastic constants and the hardening behaviour were obtained, which are used to calculate the subsequent stress fields, and they are also used to draw a diagram of engineering and true stress. The maximum average values of stress obtained from true stress -true strain diagram were 990 ± 21 MPa and from engineering diagram 897 ± 18 MPa. The deviation between maximum true and engineering average values of stress was 9 %. The stress fields obtained for 25 and 58 % strains are illustrated in the article. K e y w o r d s : digital image correlation, virtual fields method, true stress-true strain diagram, engineering diagram

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The Virtual Fields Method

Cited by 255 publications

References 0 publications

Application of the virtual fields method to large strain anisotropic plasticity

Application of the virtual fields method to large strain anisotropic plasticity

On the Use of Digital Image Correlation for the Analysis of the Dynamic Behavior of Materials

Tribological behaviour and local mechanical properties of magnesium-alumina composites

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