A Constitutive Stress–Strain Law for Metals with Sigmoidal Curves

Clyne, T.W.; Gu, Wenchen

doi:10.1002/adem.202100739

Cited by 2 publications

(1 citation statement)

References 23 publications

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“…Certain other features, such as a “sigmoidal” shape associated with plasticity‐induced phase transformations causing hardening, require novel constitutive laws. [ 6 ] Also, if a sample fractures “prematurely,” i.e., before it undergoes any necking and possibly before any yielding, then this point of failure cannot be captured. The methodology is not suitable for such highly brittle materials—at least if the focus is on failure.…”

Section: Introductionmentioning

confidence: 99%

Indentation Plastometry of Welds

Gu¹,

Campbell²,

Tang

et al. 2022

Adv Eng Mater

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This investigation concerns the application of the profilometry‐based indentation plastometry (PIP) methodology to obtain stress–strain relationships for material in the vicinity of fusion welds. These are produced by The Welding Institute (TWI), using submerged arc welding to join pairs of thick steel plates. The width of the welds varies from about 5 mm at the bottom to about 40–50 mm at the top. For one weld, the properties of parent and weld metal are similar, while for the other, the weld metal is significantly harder than the parent. Both weldments are shown to be approximately isotropic in terms of mechanical response, while there is a small degree of anisotropy in the parent metal (with the through‐thickness direction being slightly softer than the in‐plane directions). The PIP procedure has a high sensitivity for detecting such anisotropy. It is also shown that there is excellent agreement between stress–strain curves obtained using PIP and via conventional uniaxial testing (tensile and compressive). Finally, the PIP methodology is used to explore properties in the transition regime between weld and parent, with a lateral resolution of the order of 1–2 mm. This reveals variations on a scale that would be very difficult to examine using conventional testing.

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Section: Introductionmentioning

confidence: 99%

Indentation Plastometry of Welds

Gu¹,

Campbell²,

Tang

et al. 2022

Adv Eng Mater

Self Cite

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Modeling Strain Hardening of Metallic Materials with Sigmoidal Function Considering Temperature and Strain Rate Effects

Pan,

Shen,

Sampathkumar

et al. 2024

Materials

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This study uses a sigmoidal function to describe the plastic strain hardening of metallic materials, considering temperature and strain rate effects. The effectiveness of this approach is evaluated and systematically compared with other hardening laws. Incorporating temperature and strain rate effects into the parameters of this sigmoidal-type hardening law enables a more precise description and prediction of the plastic deformation of materials under different combinations of temperature and strain rate. The temperature effect is coupled using a simplified Arrhenius model, and the strain rate effect is coupled with a modified Johnson–Cook model. The sigmoidal-type hardening law is integrated with an asymmetric yield criterion to address complex behavior, such as anisotropy and strength differential effects. The calibration and validation of the constitutive model involve examining uniaxial tensile/compressive flow curves in various directions and biaxial tensile/compressive flow curves for diverse metallic alloys, proving the proposed model’s broad applicability.

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A Constitutive Stress–Strain Law for Metals with Sigmoidal Curves

Cited by 2 publications

References 23 publications

Indentation Plastometry of Welds

Indentation Plastometry of Welds

Modeling Strain Hardening of Metallic Materials with Sigmoidal Function Considering Temperature and Strain Rate Effects

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