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. |
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Copyright © The Author(s), 2017. Published by Science Publishing Group |
Strain-Hardening, Tensile Strength, Hollomon’s Model
| [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. |
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
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
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
@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}
}
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 -