Stress-Strain Formulas

Osgood, William R.

doi:10.2514/8.11304

Cited by 23 publications

(3 citation statements)

References 1 publication

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“…Numerous formulas have been proposed to describe the stress–strain curves. Osgood ( 1946 ) summarized 17 formulas used in the early age of study. Kleemola and Nieminen ( 1974 ) discussed the computational method of parameters for some commonly used formulas.…”

Section: Formulas Characterizing Stress Strain Curvesmentioning

confidence: 99%

Description of full-range strain hardening behavior of steels

Zheng

Chen

2016

SpringerPlus

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Mathematical expression describing plastic behavior of steels allows the execution of parametric studies for many purposes. Various formulas have been developed to characterize stress strain curves of steels. However, most of those formulas failed to describe accurately the strain hardening behavior of steels in the full range which shows various distinct stages. For this purpose, a new formula is developed based on the well-known Ramberg–Osgood formula to describe the full range strain hardening behavior of steels. Test results of all the six types of steels show a three-stage strain hardening behavior. The proposed formula can describe such behavior accurately in the full range using a single expression. The parameters of the formula can be obtained directly and easily through linear regression analysis. Excellent agreements with the test data are observed for all the steels tested. Furthermore, other formulas such as Ludwigson formula, Gardner formula, UGent formula are also applied for comparison. Finally, the proposed formula is considered to have wide suitability and high accuracy for all the steels tested.

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Section: Formulas Characterizing Stress Strain Curvesmentioning

confidence: 99%

Description of full-range strain hardening behavior of steels

Zheng

Chen

2016

SpringerPlus

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“…The compressive modulus is the slope of the elastic deformation phase (here, ε is in the range of 0–5% strain). The smaller the modulus of compression, the greater the elastic deformation (Osgood, 2012), and therefore the longer the breaking distance during the puncture process. The experimental results are consistent with the breaking distance, as shown in Figure 3a.…”

Section: Resultsmentioning

confidence: 99%

Gel properties of blue round scad (Decapterus maruadsi) mince as influenced by the addition of egg white powder

Wang

et al. 2022

Journal of Texture Studies

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The use of egg white powder (EWP) to enhance the physicochemical properties, molecular structure, and thermal stability of Decapterus maruadsi mince gels was investigated. The thermal stability was analyzed by adding spray‐dried EWP (0, 0.2, 0.4, 0.6, 0.8, and 1%) to the mince, and mince gels were prepared to study the changes in their fracture constant, water distribution, microstructure, and protein conformation of mince gels. In addition, the stress–strain curve of the EWP‐mince gel was measured to obtain its compressive modulus (E). The formation of the mince gel was promoted by EWP, and the whiteness, fracture constant, water‐holding capacity (WHC), and immobilized water were all enhanced. At 0.8% addition of EWP, the fracture constant increased from 176.715 ± 2.463 N/m to 348.631 ± 3.144 N/m (p < .05), which was a nearly twofold improvement. Additionally, the WHC increased from 75.21% to 79.99%, and the percentage of immobilized water increased from 94.03% to 94.91%. The EWP‐mince gel network structure was the most uniform and dense, and there were increases in hydrogen bonds, disulfide bonds, β‐sheets, and β‐turns in mince gels, as well as the storage modulus (G′) and enthalpy (ΔH). In contrast to the control group, the relative content of α‐helixes decreased from 53.34% to 37.09% and transformed into other secondary structures, and the bulk water and cooking loss also decreased to 2.41% and 8.51%, respectively. Consequently, EWP effectively improved the quality of mince products, and the effect was most apparent when 0.8% was added.

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“…The models in refs. 5,10,11,13 were mostly aimed at emulating the strain hardening behavior of aluminum and its alloys. 7 Nevertheless, these relatively older models are still able to predict the strain-hardening behavior of several other metals.…”

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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Stress-Strain Formulas

Cited by 23 publications

References 1 publication

Description of full-range strain hardening behavior of steels

Description of full-range strain hardening behavior of steels

Gel properties of blue round scad (Decapterus maruadsi) mince as influenced by the addition of egg white powder

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

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