Linear transfomation-based anisotropic yield functions

By Frederic Barlat, H. Aretz, Jeong Whan Yoon, M. Karabin, J. Brem, R. Dick. 2005

1,060 citations recorded by the source corpus.

In this paper, anisotropic yield functions based on linear transformations of the stress deviator are discussed in general terms. Two specific convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D). The type of input data recommended for the description of plastic anisotropy in sheet samples is discussed. The two formulations are shown to be suitable constitutive models for 6111-T4 and 2090-T3 aluminum alloy sheet samples.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/11a64262c3d8d70c7ebcf04f33831266933fa4e3

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “, the function accounts for only one transformation, the function reduces to the Yld91 yield function (Barlat et al., 2005).”
Advances in anisotropy and formability (2010, background): “[44] proposed the yield function Yld2004-18p, which extends Eq.”
Stress–strain behaviour of aluminium alloys at a wide range of strain rates (2009, background): “One possible candidate would be Yld2003-18p (Barlat et al., 2005), but this yield criterion has 18 parameters that need to be determined from a more comprehensive set of experiments or crystal plasticity calculations.”
Towards Material Testing 2.0. A review of test design for identification of constitutive parameters from full‐field measurements (2020, background): “This concerns the identification of the parameters governing the anisotropic Yld2004-18p [112] plasticity model.”
Anisotropic response of high-purity α-titanium: Experimental characterization and constitutive modeling (2010, methodology): “Some of the rigorous methods proposed to account for initial plastic anisotropy or to describe an average material response over a certain deformation range (see Barlat et al., 2007) can be extended to hexagonal materials.”
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity (2007, background): “…(4), as it is done in Auricchio and Petrini (2004a) where a Prager–Lode type limit function is employed; further inspiration can be taken also from plasticity literature, where interesting anisotropic limit functions have been recently proposed (see, e.g., Barlat et al., 2005; Yeh and Lin, 2006).”