Applying the Virtual Fields Method to the identification of elasto-plastic constitutive parameters

Grédiac, Michel; Pierron, Fabrice

doi:10.1016/j.ijplas.2005.04.007

Cited by 190 publications

(124 citation statements)

References 29 publications

Supporting

Mentioning

123

Contrasting

Order By: Relevance

“…The application of the VFM to plasticity was firstly addressed by Grédiac and Pierron (2006), Pannier et al (2006) and Avril et al (2008). Then many other applications have been presented, for instance Le Louëdec et al (2013) applied the VFM to the elasto-plastic behaviour of welded materials, Pierron et al (2010) investigated cyclic loads and kinematic hardening, Kim et al (2013) look at the post-necking strain hardening behaviour.…”

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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

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

Self Cite

View full text Add to dashboard Cite

show abstract

“…An application of the VFM to elasto-plasticity has already been presented in Grédiac and Pierron [35]. Here the method is extended to large deformation, using the finite deformation theory to compute displacement and strain; besides the identification is performed neglecting the elastic part of the deformation.…”

Section: Identification Proceduresmentioning

confidence: 99%

“…In order to study the initial part of the test, when the first yielding occurs, a further refinement could be done splitting the increments where the deformation changes from elastic to plastic [35]. Here such feature was not adopted because the aim of the study is to characterize the specimen behaviour at large strains, when the plastic flow is completely developed.…”

Section: Determination Of the Plastic Rangementioning

confidence: 99%

“…The advantage of using full-field measurements in the identification process is that a lot of information can be obtained from a single test, especially if it is designed in such a way as to produce a suitable heterogeneous strain field. A review of the VFM is given by Grédiac et al [34] and its application to elasto-plasticity is described in Grédiac and Pierron [35] and Avril et al [36], moreover Pierron et al [37] extended the method to cyclic loads and kinematic hardening. In dynamic, examples of application of the VFM are given in Pierron et al [38] and Avril et al [39].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields

Rossi

Pierron

2011

Comput Mech

Self Cite

View full text Add to dashboard Cite

The aim of this paper is to provide a general procedure to extract the constitutive parameters of a plasticity model starting from displacement measurements and using the Virtual Fields Method. This is a classical inverse problem which has been already investigated in the literature, however several new features are developed here. First of all the procedure applies to a general three-dimensional displacement field which leads to large plastic deformations, no assumptions are made such as plane stress or plane strain although only pressure-independent plasticity is considered. Moreover the equilibrium equation is written in terms of the deviatoric stress tensor that can be directly computed from the strain field without iterations. Thanks to this, the identification routine is much faster compared to other inverse methods such as finite element updating. The proposed method can be a valid tool to study complex phenomena which involve severe plastic deformation and where the state of stress is completely triaxial, e.g. strain localization or necking occurrence. The procedure has been validated using a three dimensional displacement field obtained from a simulated experiment. The main potentialities as well as a first sensitivity study on the influence of measurement errors are illustrated.

show abstract

“…In this case, an inverse solution tool becomes highly desirable. There have been various inverse solution tools suitable for parameter identification as reviewed by Avril et al (2008), for instance, finite element model updating (FEMU) (Farhat and Hemez, 1993;Güner et al, 2012;Roux and Bouchard, 2015;Zhang et al, 2014) and the virtual fields method (VFM) (Chalal et al, 2006;Grédiac and Pierron, 2006;Notta-Cuvier et al, 2013;Pierron and Grediac, 2012;Pierron et al, 2010b). These methods take advantage of the full-field deformation measurement techniques such as digital image correlation (DIC) (Sutton et al, 2009), the grid method (Grédiac et al, 2016), moiré and speckle interferometry (Creath, 1985;Post and Baracat, 1981), from which more comprehensive information of material behavior can be extracted from a greater number of measurement points on the specimen surface.…”

Section: Introductionmentioning

confidence: 99%

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Barlat

Kim

et al. 2016

International Journal of Solids and Structures

Self Cite

View full text Add to dashboard Cite

In this work, the nonlinear kinematic hardening combined with Voce isotropic hardening was selected to characterize the material behavior of advanced high strength steel sheet samples subjected to a few reverse loading cycles. Multi-components of backstress were considered for the combined nonlinear kinematical hardening model, namely, one, two, and three backstress components. To calibrate the model, an inverse problem solution tool, so-called virtual fields method, which takes full advantage of full-field deformation measurement, was applied to identify the material constitutive parameters. First, finite element simulations of forward-reverse simple shear were performed to validate the proposed identification method. The influence of strain noise on the identification accuracy was also evaluated. Then, the proposed method was applied to three kinds of sheet metals (DP600, TRIP780 and TWIP980) tested under two cycles of forward-reverse simple shear for parameter identification. The identification results obtained with different number of backstress components were critically discussed.

show abstract

Applying the Virtual Fields Method to the identification of elasto-plastic constitutive parameters

Cited by 190 publications

References 29 publications

Application of the virtual fields method to large strain anisotropic plasticity

Application of the virtual fields method to large strain anisotropic plasticity

Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Contact Info

Product

Resources

About