Using the Hollomon Model to Predict Strain-Hardening in Metals

Raymond Kwesi Nutor; Nana Kwabena Adomako; Y. Z. Fang

doi:doi:10.11648/j.ajmsp.20170201.11

| Peer-Reviewed

Using the Hollomon Model to Predict Strain-Hardening in Metals

Raymond Kwesi Nutor, Nana Kwabena Adomako, Y. Z. Fang

Published in American Journal of Materials Synthesis and Processing (Volume 2, Issue 1)

Received: 12 March 2017 Accepted: 5 April 2017 Published: 19 April 2017

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Stress – strain values obtained from tensile tests of aluminium and steel is used to evaluate the true stress – true strain values. The Hollomon’s model is then used to predict the strain-hardening behavior in the two specimens. It is clearly seen that the strain-hardening behavior in metals can be described using the Hollomon’s model. However, we have assumed that the onset of strain-hardening is at the yield point up until the ultimate tensile strength. The correlation between the experimental true stress – true strain values of aluminium and the calculated values using the Hollomon equation is much better than that of steel.

Published in	American Journal of Materials Synthesis and Processing (Volume 2, Issue 1)
DOI	10.11648/j.ajmsp.20170201.11
Page(s)	1-4
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Strain-Hardening, Tensile Strength, Hollomon’s Model

References

[1]	Mikell, P. Groover, Fundamentals of Modern Manufacturing Materials, Processes and Systems (2010), pp. 383-442.
[2]	Donald K. Askeland, Pradeep P. Fulay, and Wendelin J. Wright, The Science and Engineering of Materials (2010), pp. 198-307.
[3]	William D. Callister Jr., Materials Science and Engineering – An Introduction (2007), pp. 131-195.
[4]	Dowling N. E, Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture and Fatigue, Prentice-Hall International, New Jersey (1993), pp. 555-690.
[5]	P. Ludwik, Elements der Technologischen Mechanik 32, Verlag Von Julius Springer, 1909 (Leipzig).
[6]	J. H. Hollomon, Tensile deformation, Trans. AIME 162 (1945), pp. 268-290.
[7]	E. Voce, The relationship between stress and strain for homogeneous deformation, J. Inst. Met. 74 (1948), pp. 537-562.
[8]	H. W. Swift, Plastic instability under plane stress, J. Mech. Phys. Solids 1 (1952) pp. 1-18.
[9]	E. Voce, A practical strain hardening function, Metallurgia 51 (1955), pp. 219-226.
[10]	D. C. Ludwigson, Modified stress-strain relation for FCC metals and alloys, Metall. Trans. 2 (1971), pp. 2825-2828.
[11]	U. F. Kocks, Laws for work-hardening and low-temperature creep, J. Eng. Mater. Technol. 98 (1976), pp. 76-85.
[12]	H. Mecking, U. F. Kocks, Kinetics of flow and strain-hardening, Acta Metall. Mater. 29 (1981), pp. 1865-1875.
[13]	S. Bruschi, T. Altan, D. Banabic, P. F. Bariani, A. Brosius, J. Cao, A. E. Tekkaya, Testing and modelling of material behavior and formability in sheet metal forming. CIRP Annals-Manufacturing Technology 2014: 63(2): 727-49.
[14]	B. Peeters, S. R. Kalidindi, C. Teodosiu, P. V. Houtte, E. Aernoudt, A theoretical investigation of the influence of dislocation sheets on evolution of yield surfaces in single-phase BCC polycrystals. J. Mech. Phys. Solids. 2002; 50: 783-807.
[15]	J. H. Kim, D. Kim, F. Barlat, M. Lee, Crystal plasticity approach for predicting the Bauschinger effect in dual-phase steels. Mater Sci Eng: A 2012; 539: 259-70.
[16]	B. Haddag, T. Balan, F. Abed-Meraim, Investigation of advanced strain-path dependent material models for sheet metal forming simulations. Int. J. Plast. 2007; 23: 951-79.
[17]	H. Song, T. Abe, J. Shimizu, N. Tada, T. Torii, Observation of microscopic plastic deformation of polycrystalline aluminium during uniaxial tension by confocal laser scanning microscope, Key Eng. Mater. (2004) 274-276.
[18]	S. Bouvier, J. L. Alves, M. C. Oliveira, L. F. Menezes, Modelling of anisotropic work-hardening behavior of metallic materials subjected to strain-path changes. Comput. Mater Sco. 2005; 32: 301-15.
[19]	G. B. Broggiato, F. Campana, L. Cortese, The Chaboche nonlinear kinematic hardening model: calibration methodology and validation. Meccanica 2008; 43: 115-24.
[20]	P. Eggertsen, K. Mattiasson, On constitutive modelling for Springback analysis. Int. J. Mech. Sci. 2010; 52: 804-18.
[21]	E. Silvestre, Sheet metal roll levelling process oprimization by means of advanced models. Mondragon University 2013.
[22]	P. Eggertsen, K. Mattiasson, On the identification of kinematic hardening material parameters for accurate Springback predictions. Int. J. Mater. Form. 2011;4: 103-20.
[23]	M. Sachtleber, Z. Zhao, D. Raabe, Experimental investigation of plastic grain interaction, Mater. Sci. Eng.: A 336 (1-2) (2002) 81-87.
[24]	E. Shapiro, F. N. Mandigo, Forming limit analysis for enhanced fabrication, Int. Copper Research Assoc., Olin Metals Research Laboratory, N. Y., (1983) 30-129.
[25]	W. M. Sing, K. P. Rao, Influence of material properties on sheet metal formability limits, J. Mat. Proc. Tech., 48 (1995) 35-41.

Cite This Article

Plain Text BibTeX RIS

APA Style

Raymond Kwesi Nutor, Nana Kwabena Adomako, Y. Z. Fang. (2017). Using the Hollomon Model to Predict Strain-Hardening in Metals. American Journal of Materials Synthesis and Processing, 2(1), 1-4. https://doi.org/10.11648/j.ajmsp.20170201.11

Copy | Download

ACS Style

Raymond Kwesi Nutor; Nana Kwabena Adomako; Y. Z. Fang. Using the Hollomon Model to Predict Strain-Hardening in Metals. Am. J. Mater. Synth. Process. 2017, 2(1), 1-4. doi: 10.11648/j.ajmsp.20170201.11

Copy | Download

AMA Style

Raymond Kwesi Nutor, Nana Kwabena Adomako, Y. Z. Fang. Using the Hollomon Model to Predict Strain-Hardening in Metals. Am J Mater Synth Process. 2017;2(1):1-4. doi: 10.11648/j.ajmsp.20170201.11

Copy | Download

@article{10.11648/j.ajmsp.20170201.11,
  author = {Raymond Kwesi Nutor and Nana Kwabena Adomako and Y. Z. Fang},
  title = {Using the Hollomon Model to Predict Strain-Hardening in Metals},
  journal = {American Journal of Materials Synthesis and Processing},
  volume = {2},
  number = {1},
  pages = {1-4},
  doi = {10.11648/j.ajmsp.20170201.11},
  url = {https://doi.org/10.11648/j.ajmsp.20170201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmsp.20170201.11},
  abstract = {Stress – strain values obtained from tensile tests of aluminium and steel is used to evaluate the true stress – true strain values. The Hollomon’s model is then used to predict the strain-hardening behavior in the two specimens. It is clearly seen that the strain-hardening behavior in metals can be described using the Hollomon’s model. However, we have assumed that the onset of strain-hardening is at the yield point up until the ultimate tensile strength. The correlation between the experimental true stress – true strain values of aluminium and the calculated values using the Hollomon equation is much better than that of steel.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Using the Hollomon Model to Predict Strain-Hardening in Metals
AU  - Raymond Kwesi Nutor
AU  - Nana Kwabena Adomako
AU  - Y. Z. Fang
Y1  - 2017/04/19
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmsp.20170201.11
DO  - 10.11648/j.ajmsp.20170201.11
T2  - American Journal of Materials Synthesis and Processing
JF  - American Journal of Materials Synthesis and Processing
JO  - American Journal of Materials Synthesis and Processing
SP  - 1
EP  - 4
PB  - Science Publishing Group
SN  - 2575-1530
UR  - https://doi.org/10.11648/j.ajmsp.20170201.11
AB  - Stress – strain values obtained from tensile tests of aluminium and steel is used to evaluate the true stress – true strain values. The Hollomon’s model is then used to predict the strain-hardening behavior in the two specimens. It is clearly seen that the strain-hardening behavior in metals can be described using the Hollomon’s model. However, we have assumed that the onset of strain-hardening is at the yield point up until the ultimate tensile strength. The correlation between the experimental true stress – true strain values of aluminium and the calculated values using the Hollomon equation is much better than that of steel.
VL  - 2
IS  - 1
ER  -

Copy | Download

Author Information

Raymond Kwesi Nutor

Department of Physics, Zhejiang Normal University, Jinhua, China
Nana Kwabena Adomako

Department of Advanced Materials Engineering, Hanbat National University, Daejeon, South Korea
Y. Z. Fang

Department of Physics, Zhejiang Normal University, Jinhua, China

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Raymond Kwesi Nutor, Nana Kwabena Adomako, Y. Z. Fang. (2017). Using the Hollomon Model to Predict Strain-Hardening in Metals. American Journal of Materials Synthesis and Processing, 2(1), 1-4. https://doi.org/10.11648/j.ajmsp.20170201.11

Copy | Download

ACS Style

Raymond Kwesi Nutor; Nana Kwabena Adomako; Y. Z. Fang. Using the Hollomon Model to Predict Strain-Hardening in Metals. Am. J. Mater. Synth. Process. 2017, 2(1), 1-4. doi: 10.11648/j.ajmsp.20170201.11

Copy | Download

AMA Style

Raymond Kwesi Nutor, Nana Kwabena Adomako, Y. Z. Fang. Using the Hollomon Model to Predict Strain-Hardening in Metals. Am J Mater Synth Process. 2017;2(1):1-4. doi: 10.11648/j.ajmsp.20170201.11

Copy | Download

@article{10.11648/j.ajmsp.20170201.11,
  author = {Raymond Kwesi Nutor and Nana Kwabena Adomako and Y. Z. Fang},
  title = {Using the Hollomon Model to Predict Strain-Hardening in Metals},
  journal = {American Journal of Materials Synthesis and Processing},
  volume = {2},
  number = {1},
  pages = {1-4},
  doi = {10.11648/j.ajmsp.20170201.11},
  url = {https://doi.org/10.11648/j.ajmsp.20170201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmsp.20170201.11},
  abstract = {Stress – strain values obtained from tensile tests of aluminium and steel is used to evaluate the true stress – true strain values. The Hollomon’s model is then used to predict the strain-hardening behavior in the two specimens. It is clearly seen that the strain-hardening behavior in metals can be described using the Hollomon’s model. However, we have assumed that the onset of strain-hardening is at the yield point up until the ultimate tensile strength. The correlation between the experimental true stress – true strain values of aluminium and the calculated values using the Hollomon equation is much better than that of steel.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Using the Hollomon Model to Predict Strain-Hardening in Metals
AU  - Raymond Kwesi Nutor
AU  - Nana Kwabena Adomako
AU  - Y. Z. Fang
Y1  - 2017/04/19
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmsp.20170201.11
DO  - 10.11648/j.ajmsp.20170201.11
T2  - American Journal of Materials Synthesis and Processing
JF  - American Journal of Materials Synthesis and Processing
JO  - American Journal of Materials Synthesis and Processing
SP  - 1
EP  - 4
PB  - Science Publishing Group
SN  - 2575-1530
UR  - https://doi.org/10.11648/j.ajmsp.20170201.11
AB  - Stress – strain values obtained from tensile tests of aluminium and steel is used to evaluate the true stress – true strain values. The Hollomon’s model is then used to predict the strain-hardening behavior in the two specimens. It is clearly seen that the strain-hardening behavior in metals can be described using the Hollomon’s model. However, we have assumed that the onset of strain-hardening is at the yield point up until the ultimate tensile strength. The correlation between the experimental true stress – true strain values of aluminium and the calculated values using the Hollomon equation is much better than that of steel.
VL  - 2
IS  - 1
ER  -

Copy | Download