Using the Hollomon Model to Predict Strain-Hardening in Metals

Nutor, Raymond Kwesi; Adomako, Nana Kwabena; Fang, Yuanyuan

doi:10.11648/j.ajmsp.20170201.11

Cited by 16 publications

(8 citation statements)

References 18 publications

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“…Additionally, we also find a clear relation between the hardness and the maximum strain, σ max ∼ ε −4 max . Interestingly enough, fits of the material stress strain curves to simple power laws [39] suggest that the strain hardening exponent obeys an upper bound ν 0.5 [40,41], which is roughly compatible with the one shown in Fig. 2.…”

Section: Results In a Scaling Modelsupporting

confidence: 82%

Elasticity bounds from effective field theory

et al. 2019

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Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT) methods. In particular, knowledge of the nonlinear stress-strain curves completely fixes the full effective Lagrangian at leading order in derivatives. We attempt to illustrate the potential of effective methods focusing on the so-called hyperelastic materials, which allow large elastic deformations. We find that the self-consistency of the EFT imposes a number of bounds on physical quantities, mainly on the maximum strain and maximum stress that can be supported by the medium. In particular, for stress-strain relations that at large deformations are characterized by a power-law behaviour σ(ε) ∼ ε ν , the maximum strain exhibits a sharp correlation with the exponent ν.

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Section: Results In a Scaling Modelsupporting

confidence: 82%

Elasticity bounds from effective field theory

et al. 2019

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“…2b, top inset). The current research demonstrates this demarcation line dividing two areas with different strengthening factors (the power law exponents in Hollomon approximation [37,38]) to correspond to the peculiarity discovered in the set of the force-displacement characteristics measured at various velocities of the grip movement. These characteristics intersect in the same point, which is observed both for r-EVA and c-EVA but the values of the transition point are different for r-and c-samples (Fig.…”

Section: Load-displacement Characteristicssupporting

confidence: 67%

Creep lifetime of ethylene vinyl acetate co-polymer film after pre-load relaxation

Kislyuk,

Shyvaniuk,

Kotrechko

2024

Preprint

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The influence of the mechanical load and ultraviolet radiation on the lifetime of viscous and elastic ethylene vinyl acetate copolymer (EVA) films under the various loads are studied to establish its principles and to develop the basic concepts regarding their physical nature. The dumbbell samples of the cured (annealed at 135oC) EVA films (c-EVA) are pre-loaded and kept pre-strained till the complete load relaxation to reduce a viscous component prior to the creep under the load added to the relaxed value of the external force. The creep lifetime logarithm vs. added load dependencies measured at 21 oC with and without simultaneous ultraviolet irradiation with 365 nm wavelength light (from the EVA absorption tail) contain two linear segments each. The linear fragments are approximated with Zhurkov and Kauzmann-Eyring (KE) phenomenological models, which allows one to derive the quantitative parameters such as activation energy (found to be by several times lower than the dissociation energy of C – C bond); structural factor and force concentration factor as well as to estimate the density of the aligned polymer chains (per unit area) and the alignment level defined as the ratio of the polymer chain density to its maximal value (calculated to be 4 ∙ 1018 m-2). The specific surface energy of 0.01 J ∙m-2 calculated from the KE approximation is in a proper consent with Griffith’s criterion for the crack propagation.

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“…The strain hardening exponents (n H and n L ) and the strength coefficient (K H and K L ) are parameters in Hollomon's (Equation 2) and Ludwik's (Equation 3) models, where n H and n L measure the persistence of hardening and K H and K L are related to the level of strength that the material can withstand 20,21 . Strain hardening describes the increase of stress necessary to continue deformation at any stage of plastic strain and it is explained on the basis of dislocationdislocation strain field interactions.…”

Section: Resultsmentioning

confidence: 99%

Mechanical Properties of UNS S39274 Superduplex Stainless Steel Work Hardened and Solution Annealed

et al. 2022

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UNS S39274 is a W-alloyed superduplex stainless steel used in critical services in the oil and gas production. This material was selected for tubullars used in oil country tubular goods, below the Christmas tree. In order to achieve high mechanical strength the seamless tubes are cold drawn in a costly operation. In this work the mechanical properties of a cold drawn seamless were characterized and compared to three solution treated materials. Tensile curves were obtained and modelled by Hollomon's, Ludwik's and Voce's models, where the last one presented the higher correlation coefficients in all cases. The hardness and impact toughness at -46 o C were measured and discussed. The results were analyzed taking into aconunt the microstructural changes produced by cold drawning and annealing.

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Using the Hollomon Model to Predict Strain-Hardening in Metals

Cited by 16 publications

References 18 publications

Elasticity bounds from effective field theory

Elasticity bounds from effective field theory

Creep lifetime of ethylene vinyl acetate co-polymer film after pre-load relaxation

Mechanical Properties of UNS S39274 Superduplex Stainless Steel Work Hardened and Solution Annealed

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