Plane stress yield function for aluminum alloy sheets, I:​ theory

Barlat, F.; Brem, J. C.; Yoon, J. W.; Chung, K.; Dick, R. E.; Lege, D. J.; Pourboghrat, F.; Choi, S.-H.; Chu, E.

Barlat, F.^1,2; Brem, J. C.¹; Yoon, J. W.^2,3; Chung, K.⁴; Dick, R. E.⁵; Lege, D. J.¹; Pourboghrat, F.⁶; Choi, S.-H.⁷; Chu, E.⁸

Plane stress yield function for aluminum alloy sheets, I: theory

Int J Plast. September 2003;19(9):1297-1319

Affiliations

¹Materials Science Division, Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA

²Center for Mechanical Technology and Automation, University of Aveiro, P-3810 Aveiro, Portugal

³Marc development group, MSC Software Corporation, 260 Sheridan Av., Palo Alto, CA 94306, USA

⁴Department of Materials Science and Engineering, College of Engineering, Seoul National University, 56-1, Shinlim-Dong, Kwanak-Ku, Seoul, 151-742, South Korea

⁵Rigid Packaging Design and Development, Alcoa Technical Cen

⁶Deptartment of Mechanical Engineering, Michigan State University, 2241 Engineering Building, East Lansing, MI 48824, USA

⁷POSCO Technical Research Laboratories, 699, Kumho-Dong, Kwangyang-Shi, Cheonam, 545-090, South Korea

⁸Forming and Machining Platform, Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA
Abstract and keywords

A new plane stress yield function that well describes the anisotropic behavior of sheet metals, in particular, aluminum alloy sheets, was proposed. The anisotropy of the function was introduced in the formulation using two linear transformations on the Cauchy stress tensor. It was shown that the accuracy of this new function was similar to that of other recently proposed non-quadratic yield functions. Moreover, it was proved that the function is convex in stress space. A new experiment was proposed to obtain one of the anisotropy coefficients. This new formulation is expected to be particularly suitable for finite element (FE) modeling simulations of sheet forming processes for aluminum alloy sheets.

Keywords: B: Anisotropic materials; B. Constitutive modeling; B. Metallic materials; C. Mechanical testing; Yield function
Links

DOI: 10.1016/S0749-6419(02)00019-0

WoS: 000182756500002
History

Revised: 2002-04-19
Cited Works (1)

Year Entry

1948 Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lon Ser-A. May 27, 1948;193(1033):281-297.

Cited By (19)

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2004	Mackerle J. Finite element analyses and simulations of sheet metal forming processes. Eng Comput. 2004;21(8):891-940.
2015	Smith J, Liu WK, Cao J. A general anisotropic yield criterion for pressure-dependent materials. Int J Plast. December 2015;75:2-21.
2009	Reyes A, Eriksson M, Lademo O-G, Hopperstad OS, Langseth M. Assessment of yield and fracture criteria using shear and bending tests. Mater Des. 2009;30(3):596-608.
2018	Esmaeilpour MR. Finite Element Simulation of Single Point Incremental Sheet Forming With Barlat 2004 Yield Function, CPFEM, and 3D RVE [PhD thesis]. The Ohio State University; 2018.
2015	Guzmán CF. Experimental and Numerical Characterization of Damage and Application to Incremental Forming [PhD thesis]. Liège, Belgique: Université de Liège; November 2015.
2004	Chen Z. The Role of Heterogeneous Particle Distribution in the Prediction of Ductile Fracture [PhD thesis]. University of Waterloo; 2004.
2007	Williams BW. A Study of the Axial Crush Response of Hydroformed Aluminum Alloy Tubes [PhD thesis]. University of Waterloo; 2007.
2010	Mckinley J. Warm Forming of Aluminum Brazing Sheet: Experiments and Numerical Simulations [Master's thesis]. University of Waterloo; 2010.
2012	Bagheriasl R. Formability of Aluminum Alloy Sheet At Elevated Temperature [PhD thesis]. University of Waterloo; 2012.
2016	Jain E. Investigation of Effect of Temperature and Forming Speed on the Formability of AA3003 Brazing Sheets [Master's thesis]. University of Waterloo; 2016.
2017	Noder J. Characterization and Simulation of Warm Forming of 6xxx and 7xxx Series Aluminum Alloys [Master's thesis]. University of Waterloo; 2017.
2017	Zhumagulov A. Crashworthiness and Material Characterization of Multi-Cellular AA6063 Extrusions [Master's thesis]. University of Waterloo; 2017.
2018	Abedini A. Constitutive and Fracture Characterization of an Anisotropic and Asymmetric Alloy Sheet [PhD thesis]. University of Waterloo; 2018.
2018	Han KB. A Component-Level Study on the Effect of Warm Forming on Formability and Springback of Aluminum Alloy Brazing Sheet [Master's thesis]. University of Waterloo; 2018.
2018	Kim S. Dynamic and Quasi-Static Response of Warm and Hot Formed Aluminum Beams Under Three-Point Bending [Master's thesis]. University of Waterloo; 2018.
2019	Omer K. On the Response of 7000-Series Alloys to Hot Stamping [PhD thesis]. University of Waterloo; 2019.
2021	Pishyar H. Constitutive Behaviour and Formability of Pre-Aged AA7075 Sheet in a Warm Forming Process [Master's thesis]. University of Waterloo; 2021.
2021	Samadian P. Constitutive and Fracture Characterization and Modelling of Monolithic and Tailor-Welded Blanks of Press-Hardening Steels [PhD thesis]. University of Waterloo; 2021.
2022	Rahmaan MT. Constitutive and Fracture Characterization of High Strength Aluminum Alloys At Low and Elevated Strain Rates [PhD thesis]. University of Waterloo; 2022.