2016
DOI: 10.1016/j.ijsolstr.2016.07.015
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Application of the virtual fields method to large strain anisotropic plasticity

Abstract: 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… Show more

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Cited by 71 publications
(72 citation statements)
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“…Currently, the sensitivitybased virtual field concept is being extended to large deformation and anisotropic plasticity (Hill48, Yld2000-2D). This will be applied to tests such as presented in [14,25]. Future work also includes extending the method to dynamic loading [21] where the virtual work due to inertia will be accounted for in Eq.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Currently, the sensitivitybased virtual field concept is being extended to large deformation and anisotropic plasticity (Hill48, Yld2000-2D). This will be applied to tests such as presented in [14,25]. Future work also includes extending the method to dynamic loading [21] where the virtual work due to inertia will be accounted for in Eq.…”
Section: Discussionmentioning
confidence: 99%
“…Elasto-plasticity was the first type of non-linear constitutive model to be tackled [8]. The non-linear virtual fields method has since been used to study a wide range of materials such as arteries [4], rubbers [10,28,29], composites [7], and metals [12][13][14]17,25]. As a result, many different non-linear constitutive model types were considered including hyperelasticity, elasto-plasticity, visco-elasticity, and anisotropic plasticity.…”
Section: Introductionmentioning
confidence: 99%
“…The stress normalized tensor trueσ^ can be retrieved from the normalized plastic flow tensor truetrueϵ˙^p inverting the flow rule equation. Such procedure is described in details in Mathieu, Leclerc, and Roux and Rossi and Pierronand in the Appendix for the models used in this paper. In particular, using von Mises and the associated flow rule, it becomes trueσ^=bold-sans-serifMtruetrueϵ˙^p||bold-sans-serifMtruetrueϵ˙^p2.56804pt2.56804ptwith2.56804pt2.56804ptbold-sans-serifM=[]centerarray1array1/2array0array1/2array1array0array0array0array1/4. …”
Section: Methodsmentioning
confidence: 99%
“…Among the methods that uses this principle, the virtual fields method (VFM) is one of the most widespread and well documented. In plasticity, the first application of VFM was proposed by Grédiac and Pierron, then it was extended to large strain plasticity and used to identify the post‐necking regime and anisotropic plasticity . Another inverse method that was used in the last years to identify the plastic behaviour of materials is integrated DIC, in this case, the constitutive behaviour is coupled with the image correlation algorithm so that the displacement field and the material parameters are identified at the same time, that is, the constitutive model constraints the degrees of freedom of the displacement field.…”
Section: Introductionmentioning
confidence: 99%
“…digital image correlation, interferometric techniques, grid methods, etc. ): the finite element model updating method (FEMU) [1][2][3][4], the reciprocity gap method (RGM) [5,6], the constitutive equation gap method (CEGM) [7][8][9], the virtual field method (VFM) [10][11][12][13][14][15][16][17][18] and the equilibrium gap method (EGM) [19,20]. An overview of these identification procedures and their applications on experimental data can be found in [21].…”
Section: Introductionmentioning
confidence: 99%