Plane stress yield function for aluminum alloy sheets—part 1: theory

By Frederic Barlat, J. Brem, Jeong Whan Yoon, K. Chung, R. Dick, D. Lege, Farhang Pourboghrat, S. Choi, E. Chu. 2003

1,677 citations recorded by the source corpus.

Abstract 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.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bb2c87c20fcccddaf6cc6d688a69a52819258e8b

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In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

A hybrid approach for modelling of plasticity and failure behaviour of advanced high-strength steel sheets (2013, methodology): “When the associated flow rule is applied, another feature of the yield function, convexity, is a necessary condition to ensure the uniqueness of the solution in numerical simulation (Barlat et al., 2003; Hu and Wang, 2005).”
A plane stress yield function for anisotropic sheet material by interpolation of biaxial stress states (2006, background): “The equi-biaxial stress point and strain ratio are obtained from compression in the normal direction of a stack of sheet specimens, assuming that the hydrostatic stress has no effect on the plastic deformation (Tozawa, 1978; An and Vegter, 1998; Barlat et al., 2003).”
Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, background): “This anisotropic effect is observed at the macroscale by 25 percent variations in KIc with respect to the direction in rolled sheet material (Barlat et al., 2002).”