A new approach for the correction of stress–strain curves after necking in metals

Majzoobi, G.H.; Fariba, Farzad; Pipelzadeh, M K; Hardy, Stephen

doi:10.1177/0309324714555384

Cited by 19 publications

(16 citation statements)

References 21 publications

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“…The local deformation that occurs postnecking is much larger than the global response. Therefore, the true stress–strain curves were obtained in consideration of necking modification (Siebel and Schwaigerer, 1948; Majzoobi et al., 2015).…”

Section: Resultsmentioning

confidence: 99%

Competitive relationship between thermal effect and grain boundary precipitates on the ductility of an as-quenched Al–Cu–Mn alloy

Wang

Guo

et al. 2016

International Journal of Damage Mechanics

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The ductility of an Al–Cu–Mn alloy is typically characterized by fracture strain and is influenced by experimental temperature and its microstructure. Previous researches show that the ductility increases with the temperature and decreases with the strain rate. However, based on the results of isothermal tensile tests of as-quenched Al–Cu–Mn alloy in this paper, it was found that the ductility decreased apparently (approximately 90% under strain rate of 0.001/s) at a medium temperature range (573–673 K) and gradually reincreased to its original level at higher temperature. A competitive relationship between temperature softening and grain boundary T precipitation was proposed to account for the unusual variation of ductility. In addition, a ductility model based on the competitive relationship was deduced to quantify the evolution of the fracture strain for the as-quenched Al–Cu–Mn alloy and validated by the experimental results.

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Section: Resultsmentioning

confidence: 99%

Competitive relationship between thermal effect and grain boundary precipitates on the ductility of an as-quenched Al–Cu–Mn alloy

Wang

Guo

et al. 2016

International Journal of Damage Mechanics

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“…This correction factor was first proposed by Bridgman 41 famously known as “Bridgman correction factor.” There have been many efforts to obtain such correction factors or the equivalent stresses after the initiation of diffuse necking in several other ways. 15,30,31,33,43,47 A basic Bridgman correction factor as provided in refs. 32,40,42 is expressed as 32,41…”

Section: Procedures For Estimating the Materials Parametersmentioning

confidence: 99%

“…Very recently, deformation behavior post-necking have been studied with greater interest. 15,30–36 Prediction of true stress-true strain curve beyond uniform deformation (after the onset of necking) is useful for studying large plastic deformation phenomena occurring during metal forming, crash, fatigue, and fracture. 35–37…”

Section: Introductionmentioning

confidence: 99%

A full-range stress-strain model for metallic materials depicting non-linear strain-hardening behavior

Swain¹,

Selvan²,

Thomas³

et al. 2020

The Journal of Strain Analysis for Engineering Design

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Ramberg-Osgood (R-O) type stress-strain models are commonly employed during elasto-plastic analysis of metals. Recently, 2-stage and 3-stage R-O variant models have been proposed to replicate stress-strain behavior under large plastic deformation. The complexity of these models increases with the addition of each stage. Moreover, these models have considered deformation till necking only. In this paper, a simplistic multi-stage constitutive model is proposed to capture the strain-hardening non-linearity shown by metals including its post necking behavior. The constitutive parameters of the proposed stress-strain model can be determined using only elastic modulus and yield strength. 3-D digital image correlation was used as an experimental tool for measuring full-field strains on the specimens, which were subsequently utilized to obtain the material parameters. Our constitutive model is demonstrated with an aerospace-grade stainless steel AISI 321 wherein deformation response averaged over the gauge length (GL) and at a local necking zone are compared. The resulting averaged and local material parameters obtained from the proposed model provide interesting insights into the pre and post necking deformation behavior. Our constitutive model would be useful for characterizing highly ductile metals which may or may not depict non-linear strain hardening behavior including their post necking deformations.

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“…Majzoobi et al. 24 presented an approach to correct the flow curve for metal bar, where the genetic algorithm was employed to minimize the difference between the experimental and simulated necking profiles. Zhang et al.…”

Section: Introductionmentioning

confidence: 99%

Inverse determination of the flow curve in large range of strains for cylindrical tensile specimen

Chen

Guan

Yang

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, an inverse method with the integration of finite element simulation and optimization algorithms is proposed to determine the flow curve of cylindrical specimen characterized by the modified Voce hardening model. The tensile test is repetitiously simulated with different combinations of model parameters designed through Latin hypercube design method, where the baseline values and variation ranges of model parameters are identified through Leroy–Bridgman method, obtaining different simulated load–displacement curves. The corresponding response is defined as the sum of the absolute area difference between the simulated load–displacement curves and the experimental one. The relationship between the model parameters and the response is established through response surface methodology and the optimal parameters combination in the modified Voce model is then determined through nonlinear programming by quadratic Lagrangian. In the case of uniaxial tensile test of mild steel Q345, the inversely identified flow curve is validated by numerically reproducing the experimental load–displacement curve and necking profile. The results indicate that the proposed inverse method is capable of evaluating the flow curve in large range of strains for cylindrical specimen accurately.

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A new approach for the correction of stress–strain curves after necking in metals

Cited by 19 publications

References 21 publications

Competitive relationship between thermal effect and grain boundary precipitates on the ductility of an as-quenched Al–Cu–Mn alloy

Competitive relationship between thermal effect and grain boundary precipitates on the ductility of an as-quenched Al–Cu–Mn alloy

A full-range stress-strain model for metallic materials depicting non-linear strain-hardening behavior

Inverse determination of the flow curve in large range of strains for cylindrical tensile specimen

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