Numerical modeling of kinetic regularities of yield plateau and linear work hardening stages during tension of mild steel samples

Closed-form solutions for the stress and deformation fields near the minimum section of the neck are obtained for a mild steel rod subject to axial extension by tensile loads. The procedure involves the use of an experimental result together with the incompressibility and symmetry conditions to find the deformations independently of the stresses. The stresses are then determined with the Levy-Mises flow equations without the use of a specific work-hardening rule. The solution, because of a simplifying assumption, is not valid throughout the entire plastic flow region. Experimental evidence indicates, however, that the region of validity extends well beyond the fracture region. The results enable the tensile test to be used to provide a complete description of material behavior until fracture. To accomplish this, it is necessary to measure the axial load and the radius and radius of curvature at the minimum section. As an example, the work-hardening characteristics of mild steel are determined under the usual work or strain-hardening hypothesis. The application of the results to ductile metals, other than mild steel, is briefly discussed.

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A Law of Work-Hardening

Journal of Applied Mechanics ◽

10.1115/1.4009847 ◽

1948 ◽

Vol 15 (3) ◽

pp. 265-273

Author(s):

A. M. Freudenthal ◽

M. Reiner

Keyword(s):

Mild Steel ◽

Work Hardening ◽

Wire Drawing ◽

Total Work ◽

Exponential Functions ◽

Recoverable Strain ◽

Annealed State ◽

Logarithmic Measure ◽

Work Of Deformation ◽

Crystalline Metal

Abstract Based on the “blocking” theory of the strength of a poly-crystalline metal, a law of work-hardening is derived and checked experimentally on mild steel deformed by wire-drawing up to a deformation of 4.6 in the logarithmic measure. The law correlates the recoverable strain work with the total work of deformation in a series of exponential functions, the number of which corresponds to the number of sizes of crystal grains present in the annealed state.

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A work-hardening model of the lower yield strength of discontinuously yielding alloys: Ni3Al and mild steel

Journal of Materials Research ◽

10.1557/jmr.1989.0470 ◽

1989 ◽

Vol 4 (3) ◽

pp. 470-472 ◽

Cited By ~ 7

Author(s):

E. M. Schulson

Keyword(s):

Grain Size ◽

Yield Strength ◽

Mild Steel ◽

Work Hardening ◽

Lower Yield ◽

Hardening Model ◽

Lower Yield Strength ◽

Work Hardening Model ◽

Lüders Bands

The lower yield strengths of Ni3Al and mild steel and their respective relationships to (grain size)−0.8 and (grain size)−0.5 are explained in terms of work hardening within Lüders bands.

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Work hardening of mild steel within dynamic strain ageing temperatures

Journal of Materials Science ◽

10.1007/bf01152163 ◽

1996 ◽

Vol 31 (22) ◽

pp. 6085-6088 ◽

Cited By ~ 5

Author(s):

N. E. Zeghib ◽

J. R. Klepaczko

Keyword(s):

Mild Steel ◽

Work Hardening ◽

Dynamic Strain ◽

Dynamic Strain Ageing ◽

Strain Ageing

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Plastic Deformation Behavior of Differently Oriented Fe-35wt.%Cr Alloy Single Crystals Containing Cr-Rich Precipitates under Uniaxial Compression

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.66-68.1960 ◽

2011 ◽

Vol 66-68 ◽

pp. 1960-1965

Author(s):

Xin Ming Cao ◽

Wei Wei Guo ◽

Xiao Wu Li

Keyword(s):

Plastic Deformation ◽

Single Crystals ◽

Uniaxial Compression ◽

Work Hardening ◽

Deformation Behavior ◽

Flow Behavior ◽

Compressive Strain ◽

Yield Plateau ◽

Plastic Deformation Behavior ◽

Work Hardening Rate

The plastic deformation behavior of the and [014] Fe-35wt.%Cr alloy single crystals containing fine Cr-rich precipitates were investigated under uniaxial compression. The compressive flow behavior is slightly sensitive to the crystallographic orientation. These two oriented crystals exhibit a clear yield plateau in their compressive stress-strain curves, but the yield plateau of the [014] crystal is somewhat shorter than that of the crystal. As the compressive strain is lager than a certain critical value, e.g., ~13% and ~18% for the [014] and crystals, respectively, the work hardening rate for both two orientations decreases obviously, but the decrease in work hardening rate is more remarkable for the [014] crystal rather than the crystal. These phenomena are discussed to be all related to the interactions between moving dislocations and fine Cr-rich precipitates, and the interaction intensity depends strongly on the orientation. Careful observations of slip deformation characteristics and dislocation structures well provide supports for the explanations to the macroscopic compressive plastic flow behavior.

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