Modeling of anisotropic hardening of sheet metals including description of the Bauschinger effect
TL;DR: Yanaga et al. as mentioned in this paper proposed a framework for constitutive modeling of plasticity to describe the evolution of anisotropy and the Bauschinger effect in sheet metals.
About: This article is published in International Journal of Plasticity.The article was published on 2015-12-01. It has received 90 citations till now. The article focuses on the topics: Bauschinger effect & Yield surface.
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TL;DR: In this paper, the effect of the third stress invariant in the Drucker function is analyzed and calibrated for metals with body-centered cubic (BCC) and face centered cubic (FCC) crystal systems based on the yielding and plastic flow of both crystal plasticity and biaxial tensile experiments.
120 citations
TL;DR: In this paper, a simple coupling of quadratic and non-quadratic yield functions with a non-associated flow rule is proposed to describe the evolution of yield surface (or anisotropic hardening).
94 citations
TL;DR: In this paper, the Stoughton and Yoon (2009) criterion was used to model the anisotropic/asymmetry-induced distortion of the yield surface of metal sheets.
62 citations
TL;DR: In this paper, the authors identify the mechanisms associated to the transient hardening behavior of dual phase steels under strain path changes, and to capture the observed material behaviours with appropriate constitutive models.
52 citations
TL;DR: In this article, a new model is proposed for predicting stress transients caused by strain path changes, where a second order tensor is used to memorize and model the evolution history of the microstructure.
47 citations
Cites methods from "Modeling of anisotropic hardening o..."
...A yield surface and an isotropic hardening rule are commonly used to describe the yielding and the hardening behavior of materials subjected to proportional loading (Barlat et al., 2003a; Yoshida et al., 2015)....
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TL;DR: In this article, a theory is suggested which describes the yielding and plastic flow of an anisotropic metal on a macroscopic scale and associated relations are then found between the stress and strain-increment tensors.
Abstract: A theory is suggested which describes, on a macroscopic scale, the yielding and plastic flow of an anisotropic metal. The type of anisotropy considered is that resulting from preferred orientation. A yield criterion is postulated on general grounds which is similar in form to the Huber-Mises criterion for isotropic metals, but which contains six parameters specifying the state of anisotropy. By using von Mises' concept (1928) of a plastic potential, associated relations are then found between the stress and strain-increment tensors. The theory is applied to experiments of Korber & Hoff (1928) on the necking under uniaxial tension of thin strips cut from rolled sheet. It is shown, in full agreement with experimental data, that there are generally two, equally possible, necking directions whose orientation depends on the angle between the strip axis and the rolling direction. As a second example, pure torsion of a thin-walled cylinder is analyzed. With increasing twist anisotropy is developed. In accordance with recent observations by Swift (1947), the theory predicts changes in length of the cylinder. The theory is also applied to determine the earing positions in cups deep-drawn from rolled sheet.
3,426 citations
TL;DR: A mathematical representation of the multiaxial Bauschinger effect of materials at high temperatures was presented in this paper. But the model was not considered in this paper, nor in the paper.
Abstract: (2007) A mathematical representation of the multiaxial Bauschinger effect Materials at High Temperatures: Vol 24, No 1, pp 1-26
1,583 citations
TL;DR: In this paper, the main ingredients and assumptions of developing macroscopic inelastic constitutive equations, mainly for metals and low strain cyclic conditions, have been discussed, with some comparisons with the previous ones, including more recent developments that offer potential new capabilities.
1,414 citations
TL;DR: In this article, a plane stress yield function that well describes the anisotropic behavior of sheet metals, in particular, aluminum alloy sheets, was proposed, which was introduced in the formulation using two linear transformations on the Cauchy stress tensor.
1,374 citations
TL;DR: In this paper, a set of kinematic hardening rules for simulating rachetting behavior is presented, where each component has a critical state for its dynamic recovery to be activated fully.
835 citations