A method of generating analytical yield surfaces of crystalline materials

Darrieulat, Michel; Piot, David

doi:10.1016/s0749-6419(98)80001-6

Cited by 54 publications

(26 citation statements)

References 22 publications

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“…Examples of models that take into account the Lode's angle dependency have been presented by Bai and Wierzbicki (2008) and Cortese et al (2014). Other interesting contributions have been given by Darrieulat and Piot (1996), Feigenbaum and Dafalias (2007) and many other examples could be provided.…”

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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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: 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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“…When the material has more than one texture component, this model assumes identical microscopic and macroscopic stresses. Darrieulat and Piot (1996) apply the same type of approach; however they consider a more accurate representation of the microscopic behavior and take into account the Orientation Distribution Function (ODF) to represent the texture effect. Arminjon et al (1994) present a method to identify their analytical plastic power dissipation function from the ODF and the crystal plasticity model.…”

Section: Micro-macro Models With Analytical Macroscopic Yield Locusmentioning

confidence: 99%

Anisotropic elasto-plastic finite element analysis using a stress–strain interpolation method based on a polycrystalline model

Habraken

Duchêne

2004

International Journal of Plasticity

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This paper describes a stress-strain interpolation method to model the macroscopic anisotropic elasto-plastic behavior of polycrystalline materials. Accurate analytical descriptions of yield loci derived from crystallographic texture [Int. J. Plasticity 19 (2003) This identification method depends on the crystallographic texture and should be applied each time that the plastic strain has induced a significant texture evolution. The stress-strain interpolation method accurately describes the anisotropic material behavior in a narrow stress direction defined by only five stress points. The cost of texture updating is then greatly reduced compared to a full analytical function of the yield locus. After the mathematical description of the stress-strain interpolation method, its validity is demonstrated on two non-radial strain paths. The simulations of a deep drawing experiment allow comparing model predictions and measurements. Accuracy and CPU time of the interpolation stress-strain method are judged against two other models, respectively based on a complete analytical yield locus and on the averaging of crystallite stresses.

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“…This approach was successfully applied to the deformation of polycrystals by Darrieulat and Piot (1996); 25 Montheillet et al (1985), to the simulation of texture evolution (Gambin and Barlat, 1997) and, more recently, to ductile fracture of single crystals (Paux et al, 2015). The drawback of this single criterion formulation is that it is more difficult to introduce interaction between slip systems and latent hardening effects.…”

Section: Introductionmentioning

confidence: 99%