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Cyclic hardening properties of hard-drawn copper and rail steel

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TLDR
A cyclic hardening law due to Armstrong and Frederick (CEGB Report RD/B/N731) has been extended to describe plastic strain accumulation (ratchetting) in hard-drawn copper and rail steel as mentioned in this paper.
Abstract
A cyclic hardening law due to Armstrong and Frederick (CEGB Report RD/B/N731, 1966) has been extended to describe plastic strain accumulation (ratchetting) in hard-drawn copper and rail steel. The four parameters of the theoretical model were determined from a single uniaxial test on each material, in which unequal tension and compression were applied. Using these parameters the model was found to give good predictions of the ratchetting rate measured in non-proportional cycles of tension-torsion-compression, which are representative of the stress cycles experienced by surface elements in rolling and sliding contact.

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A review of some plasticity and viscoplasticity constitutive theories

TL;DR: In this paper, the main ingredients and assumptions of developing macroscopic inelastic constitutive equations, mainly for metals and low strain cyclic conditions, have been discussed, with some comparisons with the previous ones, including more recent developments that offer potential new capabilities.
Journal ArticleDOI

Modeling of cyclic ratchetting plasticity, part i: Development of constitutive relations

TL;DR: In this article, an Armstrong-Frederick type hardening rule utilizing the concept of a limiting surface for the backstresses was proposed to predict long-term ratchetting rate decay as well as constant ratcheting rate for both proportional and nonproportional loadings.
Journal ArticleDOI

Rail corrugation: Characteristics, causes, and treatments

TL;DR: Corrugation is a phenomenon which has excited the interest of railwaymen for more than a century, but for which there often does not appear to appear to be a cure as discussed by the authors.
Journal ArticleDOI

Ratcheting in cyclic plasticity, part II: Multiaxial behavior

TL;DR: In this paper, the authors used three cyclic plasticity models to simulate the two sets of experiments using the material parameters selected for the modeling of the uniaxial ratcheting experiments.
Journal ArticleDOI

Life prediction of rolling contact fatigue crack initiation

TL;DR: In this article, a strategy developed for fatigue life prediction of rolling contact fatigue (RCF) crack initiation is presented, which combines elastic-plastic finite element (FE) analyses, multiaxial fatigue crack initiation models used together with the critical plane concept, fatigue damage summation calculations, and comparison of results from numerical analyses and experiments.
References
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Journal ArticleDOI

Time-independent constitutive theories for cyclic plasticity

TL;DR: In this paper, three different approaches are considered for the description of kinematic behavior: (i) the use of independent multi-yield surfaces, (ii) models with two surfaces only, (iii) the so-called "nonlinear-kinematic hardening rule" defined by a differential equation.
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The influence of strain hardening on cumulative plastic deformation in rolling and sliding line contact

TL;DR: In this paper, the influence of strain hardening on the cumulative plastic deformation (ratchetting) which takes place in repeated rolling and sliding contacts has been assessed by the use of a non-linear kinematic hardening law proposed and tested by B ower (J. Phys. Solids37,455, 1989).
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An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity

TL;DR: In this paper, a deviatoric stress rate-dominated kinematic hardening rule was proposed to correlate cyclically stable nonproportional stress-strain response for single and multiple surface cyclic plasticity models.
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