Modeling plastic anisotropy evolution of AISI 304 steel sheets by a polynomial yield function

Şener, Bora; Esener, Emre; Fırat, Mehmet

doi:10.1007/s42452-021-04206-2

Cited by 11 publications

(6 citation statements)

References 41 publications

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“…According to the experimental tests (see Figure 5), the considered steel exhibits an anisotropic behaviour which is demonstrated by the variation of the mechanical properties with the in-plane direction. 31,[50][51][52] It is noticed that the hardening curves corresponding to the directions 00°, 30°a nd 45°from the rolling direction had extremely similar mechanical properties up to 20.8% in strain. In addition, the values of yield strength and maximum tensile strength were close.…”

Section: Macro-tensile Behaviourmentioning

confidence: 98%

Characterisation of the plane anisotropy and its effect on interstitial free steel thin sheet metal forming simulation

Arfaoui

Samet

Znaidi

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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The main purpose of this paper is to study the orthotropic plastic behaviour of the cold-rolled interstitial free steel HC260Y when it is submitted to various loading directions under monotonic tests. The experimental database included tensile tests carried out on specimens (in the as-received condition and after undergoing an annealing heat treatment) cut in different orientations according to the rolling direction. A model was proposed, depending on a plasticity criterion, a hardening law and an evolution law, which takes into account the anisotropy of the material. To validate the proposed identification strategy, a comparison with the experimental results of the planar tension tests, carried out on specimens cut parallel to the rolling direction, was considered. The obtained results allowed the prediction of the behaviour of this material when it is subjected to other solicitations whether simple or compound.

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Section: Macro-tensile Behaviourmentioning

confidence: 98%

Characterisation of the plane anisotropy and its effect on interstitial free steel thin sheet metal forming simulation

Arfaoui

Samet

Znaidi

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…An optimization method was applied to determine the coefficients a 6 and a 8 with an objective function similar to Eq. ( 52), based on the error between predicted stress ratios and r-values and the corresponding the tensile experimental points of TUAT [80] at 15°, 30°,45°,60° and 75°. An equal weight was chosen for Lankford coefficients and yield limits.…”

Section: Th Order Polynomial Model (Hompol4)mentioning

confidence: 99%

“…Fig 80. Comparison between experimental and predicted results with shell elements and Hill48 criterion with associated flow rule (data set Table22line 1) and non-associated flow rule (data set computed by Eqs (71).…”

mentioning

confidence: 99%

Analysis of ESAFORM 2021 cup drawing benchmark of an Al alloy, critical factors for accuracy and efficiency of FE simulations

et al. 2022

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This article details the ESAFORM Benchmark 2021. The deep drawing cup of a 1 mm thick, AA 6016-T4 sheet with a strong cube texture was simulated by 11 teams relying on phenomenological or crystal plasticity approaches, using commercial or self-developed Finite Element (FE) codes, with solid, continuum or classical shell elements and different contact models. The material characterization (tensile tests, biaxial tensile tests, monotonic and reverse shear tests, EBSD measurements) and the cup forming steps were performed with care (redundancy of measurements). The Benchmark organizers identified some constitutive laws but each team could perform its own identification. The methodology to reach material data is systematically described as well as the final data set. The ability of the constitutive law and of the FE model to predict Lankford and yield stress in different directions is verified. Then, the simulation results such as the earing (number and average height and amplitude), the punch force evolution and thickness in the cup wall are evaluated and analysed. The CPU time, the manpower for each step as well as the required tests versus the final prediction accuracy of more than 20 FE simulations are commented. The article aims to guide students and engineers in their choice of a constitutive law (yield locus, hardening law or plasticity approach) and data set used in the identification, without neglecting the other FE features, such as software, explicit or implicit strategy, element type and contact model.

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“…They investigated the anisotropic behavior of AISI 304 stainless steel It is seen from the Figures 9 and 10 that the predicted thickness distributions and flange geometry matches well with the experimental results. Then, Sener et al [19] expanded the study [18] and studied the variation of anisotropy during plastic Experimental and predicted cup profiles from the fourth-order polynomial and Yld96 criteria for AA2090-T3 [14].…”

Section: Prediction Of Thickness Strains In Rectangular Cup Drawingmentioning

confidence: 99%

On the Use of Homogeneous Polynomial Yield Functions in Sheet Metal Forming Analysis

Fırat¹,

Şener²,

Akşen³

et al. 2022

Recent Advances in Polynomials

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Sheet metal forming techniques are a major class of stamping and manufacturing processes of numerous parts such as doors, hoods, and fenders in the automotive and related supplier industries. Due to series of rolling processes employed in the sheet production phase, automotive sheet metals, typically, exhibit a significant variation in the mechanical properties especially in strength and an accurate description of their so-called plastic anisotropy and deformation behaviors are essential in the stamping process and methods engineering studies. One key gradient of any engineering plasticity modeling is to use an anisotropic yield criterion to be employed in an industrial content. In literature, several orthotropic yield functions have been proposed for these objectives and usually contain complex and nonlinear formulations leading to several difficulties in obtaining positive and convex functions. In recent years, homogenous polynomial type yield functions have taken a special attention due to their simple, flexible, and generalizable structure. Furthermore, the calculation of their first and second derivatives are quite straightforward, and this provides an important advantage in the implementation of these models into a finite element (FE) software. Therefore, this study focuses on the plasticity descriptions of homogeneous second, fourth and sixth order polynomials and the FE implementation of these yield functions. Finally, their performance in FE simulation of sheet metal cup drawing processes are presented in detail.

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Modeling plastic anisotropy evolution of AISI 304 steel sheets by a polynomial yield function

Cited by 11 publications

References 41 publications

Characterisation of the plane anisotropy and its effect on interstitial free steel thin sheet metal forming simulation

Characterisation of the plane anisotropy and its effect on interstitial free steel thin sheet metal forming simulation

Analysis of ESAFORM 2021 cup drawing benchmark of an Al alloy, critical factors for accuracy and efficiency of FE simulations

On the Use of Homogeneous Polynomial Yield Functions in Sheet Metal Forming Analysis

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