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Relevant bibliographies by topics / Hall-Petch Relationship

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Journal articles

Academic literature on the topic 'Hall-Petch Relationship'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Hall-Petch Relationship"

1

Song, Yooseob, Jaeheum Yeon, and Byoungjoon Na. "Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model." Advances in Civil Engineering 2019 (December 5, 2019): 1–9. http://dx.doi.org/10.1155/2019/7356581.

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The Hall-Petch relation in aluminium is discussed based on the strain gradient plasticity framework. The thermodynamically consistent gradient-enhanced flow rules for bulk and grain boundaries are developed using the concepts of thermal activation energy and dislocation interaction mechanisms. It is assumed that the thermodynamic microstresses for bulk and grain boundaries have dissipative and energetic contributions, and in turn, both dissipative and energetic material length scale parameters are existent. Accordingly, two-dimensional finite element simulations are performed to analyse charac

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2

TIAN, DAN, CHAN-JUAN ZHOU, and JI-HUAN HE. "HALL–PETCH EFFECT AND INVERSE HALL–PETCH EFFECT: A FRACTAL UNIFICATION." Fractals 26, no. 06 (2018): 1850083. http://dx.doi.org/10.1142/s0218348x18500834.

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Hall–Petch strengthening has been widely used in materials science, but its mechanism is not very clear yet, some inverse phenomena were observed. This paper gives a fractal approach to explanation of the Hall–Petch effect, revealing the value of the fractal dimensions is the key factor: when it is larger than one, the Hall–Petch effect is predicted; while when it is smaller than one, an inverse Hall–Petch relationship is obtained. The fractal theory can also explain the nano-effort (size effort) in nanotechnology and spider silk’s strength.

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3

Song, Yooseob. "Investigation of the Hall-Petch Relationship Using Strain Gradient Plasticity Model for Finite Deformation Framework." Journal of Materials and Applications 9, no. 2 (2020): 55–69. http://dx.doi.org/10.32732/jma.2020.9.2.55.

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The Hall-Petch relationship in metals is investigated using the strain gradient plasticity theory within the finite deformation framework. For this purpose, the thermodynamically consistent constitutive formulation for the coupled thermomechanical gradient-enhanced plasticity model is developed. The corresponding finite element method is performed to investigate the characteristics of the Hall-Petch relationship in metals. The proposed model is established based on an extra Helmholtz-type partial differential equation, and the nonlocal quantity is calculated in a coupled method based on the eq

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4

Dangwal, Shivam, Kaveh Edalati, Ruslan Z. Valiev, and Terence G. Langdon. "Breaks in the Hall–Petch Relationship after Severe Plastic Deformation of Magnesium, Aluminum, Copper, and Iron." Crystals 13, no. 3 (2023): 413. http://dx.doi.org/10.3390/cryst13030413.

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Strengthening by grain refinement via the Hall–Petch mechanism and softening by nanograin formation via the inverse Hall–Petch mechanism have been the subject of argument for decades, particularly for ultrafine-grained materials. In this study, the Hall–Petch relationship is examined for ultrafine-grained magnesium, aluminum, copper, and iron produced by severe plastic deformation in the literature. Magnesium, aluminum, copper, and their alloys follow the Hall–Petch relationship with a low slope, but an up-break appears when the grain sizes are reduced below 500–1000 nm. This extra strengtheni

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5

Liu, X. D., M. Nagumo, and M. Umemoto. "The Hall-Petch Relationship in Nanocrystalline Materials." Materials Transactions, JIM 38, no. 12 (1997): 1033–39. http://dx.doi.org/10.2320/matertrans1989.38.1033.

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6

Zhao, M., J. C. Li, and Q. Jiang. "Hall–Petch relationship in nanometer size range." Journal of Alloys and Compounds 361, no. 1-2 (2003): 160–64. http://dx.doi.org/10.1016/s0925-8388(03)00415-8.

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7

Tang, Yizhe, Eduardo M. Bringa, and Marc A. Meyers. "Inverse Hall–Petch relationship in nanocrystalline tantalum." Materials Science and Engineering: A 580 (September 2013): 414–26. http://dx.doi.org/10.1016/j.msea.2013.05.024.

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8

de las Cuevas, F., Mónica Reis, A. Ferraiuolo, et al. "Hall-Petch Relationship of a TWIP Steel." Key Engineering Materials 423 (December 2009): 147–52. http://dx.doi.org/10.4028/www.scientific.net/kem.423.147.

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The grain size dependence of the tensile properties of a TWIP steel has been determined for a wide range of grain sizes obtained by grain growth after complete recrystallization of cold rolled material. The near-linear stress-strain behaviour typical of either TWIP steels or other materials that deform by twinning has been observed, the work hardening rate being larger for the smaller grain sizes. The Hall-Petch slope increases as a function of strain, from 350 MPa μm1/2 for the yield stress to 630 MPa μm1/2 for the maximum uniform strain in the tensile tests, ε  0.40. Profuse twinning is obs

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9

Naik, Sneha N., and Stephen M. Walley. "The Hall–Petch and inverse Hall–Petch relations and the hardness of nanocrystalline metals." Journal of Materials Science 55, no. 7 (2019): 2661–81. http://dx.doi.org/10.1007/s10853-019-04160-w.

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AbstractWe review some of the factors that influence the hardness of polycrystalline materials with grain sizes less than 1 µm. The fundamental physical mechanisms that govern the hardness of nanocrystalline materials are discussed. The recently proposed dislocation curvature model for grain size-dependent strengthening and the 60-year-old Hall–Petch relationship are compared. For grains less than 30 nm in size, there is evidence for a transition from dislocation-based plasticity to grain boundary sliding, rotation, or diffusion as the main mechanism responsible for hardness. The evidence surr

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10

Pande, C. S., and K. P. Cooper. "Nanomechanics of Hall–Petch relationship in nanocrystalline materials." Progress in Materials Science 54, no. 6 (2009): 689–706. http://dx.doi.org/10.1016/j.pmatsci.2009.03.008.

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