Advanced Material Characterizations and Constitutive Modeling for AHSS Springback Predictions

Hong, Zhu; Sriram, S.; Yan, Benda; Duroux, Patrick

doi:10.4271/2010-01-0980

Cited by 6 publications

(4 citation statements)

References 16 publications

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“…Exponential forms describing stress-strain and slope vs. strain are most-commonly proposed (Yoshida et al, 2002;Zang et al, 2013;, Zhu et al, 2010, Sun and Wagoner, 2011. These are inspired in part by the discovery of a scalable, universal atomic binding relationship (Rose et al, 1983) that can be differentiated to obtain a stress-strain relationship as follows:…”

Section: Nonlinear Treatmentsmentioning

confidence: 99%

“…Despite this inconsistency, Eq. 3 inspired a simplified equation to describe the observed modulus phenomenon (Zhu et al, 2010):…”

Section: Nonlinear Treatmentsmentioning

confidence: 99%

“…3 and 4, as will be shown later. In order to reproduce the observed hysteresis, Zhu et al (2010) replaced the strain term in Eq. 4 by a generalized internal variable that is to be reset to zero at each stress path reversal in order to construct a 1-D hypoelastic model.…”

Section: Nonlinear Treatmentsmentioning

confidence: 99%

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The elastic–plastic transition of metals

Chen

Bong

et al. 2016

International Journal of Plasticity

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Uniaxial stress-strain curves are known to exhibit significant curvature and hysteresis even in the nominally elastic regime, i.e. before the standard yield stress is attained. In order to probe the nature of this behavior, hundreds of high-precision loading-unloading-loading tensile tests were performed using 26 commercial sheet alloys exhibiting a wide range of strength, ductility and crystal structure. Corresponding analysis shows that:1. There is no significant linear elastic region, that is, the proportional limit is 0 MPa. While the first increment of deformation shows a stress-strain slope equal to Young's modulus, progressive deviations of slope start immediately. 2. The shape of the transitional stress-strain curve can be represented by a simple oneparameter equation representing the "modulus reduction rate." It captures ~80% of the measured variation and can be determined from a single test. This approach reduces the error inherent in standard Young's modulus or chord modulus approximations by a factor of 3 to 6. 3. A "Universal Law" having no independently-determined parameters, i.e. no testing or fitting required, was developed. It captures ~90% of the variation represented by the oneparameter representation for the materials tested. The practical and theoretical implications of these results are discussed. On the practical side, the results provide an immediate path to improving applied constitutive models in the transitional regime. An example of an application and results is provided. On the theoretical side, the consistency of the effect for a wide range of metals suggests answers to questions about the governing deformation mechanisms.

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Section: Nonlinear Treatmentsmentioning

confidence: 99%

“…Despite this inconsistency, Eq. 3 inspired a simplified equation to describe the observed modulus phenomenon (Zhu et al, 2010):…”

Section: Nonlinear Treatmentsmentioning

confidence: 99%

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The elastic–plastic transition of metals

Chen

Bong

et al. 2016

International Journal of Plasticity

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“…(1) to allow for hysteresis within a nonlinear elastic framework was proposed by Zhu et al [7]. At the same time, the (1-D term) in Eq.…”

Section: Introductionmentioning

confidence: 99%

Elastic-plastic transition: A universal law

Chen

Bong

et al. 2016

MATEC Web Conf.

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Abstract.Although the initial stress-strain behavior in a tensile test is often characterized as linear elastic up to a yield stress and nonlinear plastic thereafter, the pre-yield transition region is known to exhibit significant curvature and hysteresis. Hundreds of high-precision loading-unloading-loading tensile tests were performed using 26 commercial sheet alloys exhibiting a wide range of strength, ductility and crystal structure. Analysis of the results reveals the following:1. There is no significant linear elastic region; the proportional limit is ~0 MPa when measured with sufficient sensitivity. 2. Each of the hundreds of measured transitional stress-strain curves can be characterized by a single parameter, here called the "modulus reduction rate." The corresponding equation captures ~80% of the observed variation, a factor of 3 to 6 better than a one-parameter linear approximation. 3. Most interestingly, the transitional behavior for all alloys follows a "Universal Law" requiring no fit parameters. The law depends only upon the strength of the material and its Young's modulus, both of which are can be measured by independent tests or adopted from handbooks. The Universal Law captures ~90% of the variation represented by the one-parameter representation and eliminates the need for mechanical testing to implement and apply. The practical and theoretical implications of these results are discussed. The results provide a simple path to significantl y improving applied constitutive models in the transitional regime. The consistency of the effect for such a wide range of metals and suggests that the origin of the behavior lies in the pile-up and relaxation of dislocation arrays.

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An analytical model for rapid prediction and compensation of springback for chain-die forming of an AHSS U-channel

Liang

Zhang

et al. 2019

International Journal of Mechanical Sciences

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Advanced Material Characterizations and Constitutive Modeling for AHSS Springback Predictions

Cited by 6 publications

References 16 publications

The elastic–plastic transition of metals

The elastic–plastic transition of metals

Elastic-plastic transition: A universal law

An analytical model for rapid prediction and compensation of springback for chain-die forming of an AHSS U-channel

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