Numerical study on the influence of initial anisotropy on optimal blank shape

Padmanabhan, R.; Oliveira, M. C.; Baptista, A. Poiares; Alves, J. L.; Menezes, L.F.

doi:10.1016/j.finel.2008.07.012

Cited by 18 publications

(9 citation statements)

References 33 publications

(35 reference statements)

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“…After removing the tools, the DD3TRIM program [45,46] (part of the DD3 family code) is used to perform the ring cutting phases. This code allows the geometrical treatment of cutting solid isoparametric hexahedral element meshes and the determination of the material state with the remapping.…”

Section: Numerical Simulationmentioning

confidence: 99%

Mechanical Behaviour and Springback Study of an Aluminium Alloy in Warm Forming Conditions

Laurent

Coër

Grèze

et al. 2011

ISRN Mechanical Engineering

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This study deals with the mechanical behaviour and material modelling of an AA5754-O alloy at elevated temperature. Experimental shear tests were performed from room temperature up to 200• C, and the material behaviour has been identified with both shear and tensile tests, as a function of temperature. To analyse the influence of temperature during forming over springback, a split-ring test is used. Experimental results are obtained and compared to numerical simulations performed with the finite element in-house code DD3IMP. The numerical process of ring splitting is performed with the in-house code DD3TRIM. The main observed data are force-displacement curves of the punch during forming, cup thickness at the end of forming, and ring gap after splitting. It is shown that all these parameters are strongly dependent on the forming temperature. A correlation is obtained between experimental data and numerical simulation for the evolution of punch force and opening after springback as a function of temperature. The distribution of the tangential stress in the cup wall is the main factor influencing the springback mechanism in warm forming condition.

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Section: Numerical Simulationmentioning

confidence: 99%

Mechanical Behaviour and Springback Study of an Aluminium Alloy in Warm Forming Conditions

Laurent

Coër

Grèze

et al. 2011

ISRN Mechanical Engineering

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“…By analogy with the von Mises (1928) yield criterion for isotropic materials, Hill (1948) proposed a quadratic yield function to model the macroscopic behaviour of orthotropic metals which depends only on the deviatoric stresses and is pressure independent. The model highlights due to its simplicity, versatility and easy calibration procedure; so that 70 years after its publication, the criterion of Hill (1948) still is the anisotropic model most widely used to describe the directionality of plastic properties of metallic materials used in scientific and technological applications (Padmanabhan et al, 2009;Koubaa et al, 2017;Korkolis et al, 2018;Greco et al, 2018;Baral et al, 2018;Cazacu and Rodríguez-Martínez, 2019). However, due to the fact that Hill's yield function is quadratic in stresses and contains only six independent parameters to describe the state of anisotropy, it cannot capture with the same accuracy both the yield stress and Lankford coefficients (Hu, 2007;Banabic, 2010).…”

Section: Introductionmentioning

confidence: 99%

A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria

Hosseini

Rodríguez-Martínez

2021

Finite Elements in Analysis and Design

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In this paper, we have modified the stress integration scheme proposed by Choi and Yoon (2019), which is based on the numerical approximation of the yield function gradients, to implement in the finite element code ABAQUS three elastic isotropic, plastic anisotropic constitutive models with yielding described by Yld2004-18p (Barlat et al., 2005), CPB06ex2 (Plunkett et al., 2008 and Yld2011-27p (Aretz and Barlat, 2013) criteria, respectively. We have developed both VUMAT and UMAT subroutines for the three constitutive models, and have carried out cylindrical cup deep drawing test simulations and calculations of dynamic necking localization under plane strain tension, using explicit and implicit analyses. An original feature of this paper is that these finite element simulations are systematically compared with additional calculations performed using (i) the numerical approximation scheme developed by Choi and Yoon (2019), and (ii) the analytical computation of the first and second order yield functions gradients. This comparison has shown that the numerical approximation of the yield function gradients proposed in this paper facilitates the implementation of the constitutive models, and in the case of the implicit analyses, it leads to a significant decrease of the computational time without impairing the accuracy of the finite element results. In addition, we have demonstrated that there is a critical loading rate below which the dynamic implicit analyses are computationally more efficient than the explicit calculations.

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“…So far, various optimization algorithms have been proposed to design blanks, the most notable algorithms of which can be classified into four groups, namely the slip line field [1][2][3][4][5][6][7][8][9], geometric mapping [10][11][12][13], inverse approach [14][15][16][17][18][19][20][21][22][23][24], and numerical simulation-based iterative methods [25][26][27][28][29][30][31][32][33][34][35]. Meanwhile, methods of the fourth category have been widely used by researchers, due to their higher simulation accuracy and more capacity to solve complex problems.…”

Section: Introductionmentioning

confidence: 99%

Blank Shape Optimization Considering 3D Space Targets for External and Internal Boundaries in Sheet Metal Forming Processes

Gharehchahi

Kazemzadeh-Parsi

Afsari

et al. 2021

Trans Indian Inst Met

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The optimum design of an initial blank shape in sheet metal forming processes is an important step in many industries, especially automobile manufacturers because it reduces production costs and material waste. To the best of our knowledge, no research has been conducted on the blank shape designs based on 3D space target contours. Moreover, the present study considers parts with internal boundaries and optimum design of the internal boundary, which are among the innovations of this research. By following the iterative simulation-based optimization process, a special updating algorithm was proposed to modify the blank geometry in each iteration and reach the optimum shape. The sheet forming was severely nonlinear, due to plastic behavior, large deformations, and frictional contact surfaces. Therefore, the updating formula should be robust enough to be insensitive to the initial guess for the blank. To evaluate the proposed updating formula, some numerical examples were solved and the results were presented. Finally, the robustness of the proposed algorithm was investigated in these numerical experiences, by considering different geometries, target contours, internal boundaries, and initial guesses. The present study reveals that the proposed algorithm can be effectively used to solve blank optimization problems for the deep drawing process.

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Numerical study on the influence of initial anisotropy on optimal blank shape

Cited by 18 publications

References 33 publications

Mechanical Behaviour and Springback Study of an Aluminium Alloy in Warm Forming Conditions

Mechanical Behaviour and Springback Study of an Aluminium Alloy in Warm Forming Conditions

A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria

Blank Shape Optimization Considering 3D Space Targets for External and Internal Boundaries in Sheet Metal Forming Processes

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