The issue of pressure sensitivity of anisotropic sheet metals is investigated with introducing two new non-AFR criteria which are called here linear and non-Linear pressure sensitive criteria. The yield and plastic potential functions of these criteria are calibrated with directional tensile/compressive yield stresses and directional tensile Lankford coefficients, respectively. To determine unk...

To assess the suitability of different packaging steels for complex deep drawing applications, nowadays, total elongation and Lankford coefficients in simple tensile tests are used. However, use uniaxial is not supposed to predict limiting ratio precisely thus applications. At same time, conduction experiments extensive requires a high testing effort. Therefore, this work, correlation between f...

A new method to calculate the plastic anisotropy r-values of austenitic and ferritic stainless steels has been developed. The mean orientation individual grains is obtained from SEM-EBSD data for are calculated by weighting all slip systems according their Schmid factors. Calculated measured in good agreement steels. However, steels, which highly anisotropic, requires introduction a factor thre...

The comprehension of the anisotropy impacts on mechanical properties of the rolled steel sheets was investigated using a non-quadratic anisotropic yield function. In this study, experimental and modelling determination regarding the behaviour of an industrial rolled sheet for a ferritic stainless low-carbon steel were carried out. The parameters of the associated yield equation, derived from th...

Abstract The plastic anisotropy behavior of ferritic stainless steel (FSS) sheets was analyzed and modeled under associated nonassociated flow rule approaches. Three orthotropic functions, known as quadratic Hill48 nonquadratic (Yld2000-2d BBC2005), were developed employed an hypothesis. For the NAFR based on initial anisotropy, mechanical described by nonexponential model functions Yld2000-2d ...

A crystal plasticity based full-field microstructure simulation approach is used to virtually determine mechanical properties of sheet metals. Microstructural features like the specific grain morphology and the crystallographic texture are taken into account to predict the plastic anisotropy. A special focus is on the determination of the Lankford coefficients and on the yield surface under pla...

We evaluate the virial coefficients Bk for k ≤ 10 for hard spheres in dimensions D = 2, · · · , 8. Virial coefficients with k even are found to be negative when D ≥ 5. This provides strong evidence that the leading singularity for the virial series lies away from the positive real axis when D ≥ 5. Further analysis provides evidence that negative virial coefficients will be seen for some k > 10 ...