International Journal of Advanced Engineering Application

ISSN: 3048-6807

Analysis of Damage Value of Aluminum Alloys Using a Continuum Damage Mechanics Model

Author(s):Mounir Bensalah1, Amina Haddad2, Yassine Djebaili3

Affiliation: 1,2,3 University of Science and Technology Houari Boumediene (USTHB), Algiers, Algeria

Page No: 1-8

Volume issue & Publishing Year: Volume 1 Issue 8,Dec-2024

Journal: International Journal of Advanced Engineering Application (IJAEA)

ISSN NO: 3048-6807

DOI:

Download PDF

Abstract:
Damage refers to the deterioration of materials under external influences such as mechanical loading, temperature, and environmental conditions. Extensive research has been conducted on the damage behavior of materials like steel, aluminum alloys, and titanium alloys. However, a comprehensive investigation into the range of damage values across various materials remains limited. This study focuses on examining the range of damage values for 32 aluminum alloys, widely used in aerospace, railway, automotive, and marine industries.
The damage values were determined using the Continuum Damage Mechanics (CDM)-based Bhattacharya and Ellingwood model, which relies on monotonic material properties obtained from literature. Critical damage values for the alloys were found to range from 0.1 to 0.9, with plastic strain identified as the primary influencing factor. Furthermore, the variation in damage values was analyzed under different plastic strain conditions.
The findings provide a detailed understanding of critical damage values and their variability in aluminum alloys, aiding in the selection of suitable alloys for applications where damage tolerance is a critical criterion

Keywords: Aluminum alloy, damage mechanics, plastic strain, critical damage, monotonic properties

Reference:

  • J. Lemaitre and J. L. Chaboche, Mechanics of Solid Materials. Cambridge, U.K.: Cambridge Univ. Press, 1990.
  • B. Bhattacharya and B. R. Ellingwood, “Continuum damage mechanics analysis for fatigue crack initiation,” Int. J. Fatigue, vol. 18, no. 3, pp. 187–199, 1996.
  • J. R. Rice and D. M. Tracey, “On the ductile enlargement of voids in triaxial stress fields,” J. Mech. Phys. Solids, vol. 17, no. 3, pp. 201–217, 1969.
  • M. Oyane, “Mechanical criteria for ductile fracture,” Eng. Fract. Mech., vol. 4, no. 1, pp. 25–35, 1972.
  • A. M. Freudenthal, The Inelastic Behavior of Engineering Materials and Structures. New York, NY, USA: John Wiley & Sons, 1950.
  • M. G. Cockroft and D. J. Latham, “Ductility and the workability of metals,” J. Inst. Metals, vol. 96, pp. 33–39, 1968.
  • M. Mashayekhi, Y. Wang, and H. H. Lee, “Continuum damage mechanics-based model for low-cycle fatigue of stainless steel,” Int. J. Fatigue, vol. 32, no. 9, pp. 1452–1458, 2010.
  • J. Fan et al., “A CDM-based fatigue–creep interaction model for high-temperature applications,” J. Mater. Sci. Eng., vol. 43, no. 2, pp. 225–235, 2018.
  • M. Gautam et al., “Review on ductile damage models and their applications,” Mater. Today: Proc., vol. 44, no. 1, pp. 120–128, 2021.
  • M. F. Ashby, Materials Selection in Mechanical Design. Oxford, U.K.: Pergamon Press, 1983.
  • W. D. Callister, Materials Science and Engineering: An Introduction, 10th ed. Hoboken, NJ, USA: Wiley, 2018.
  • S. P. Timoshenko and J. N. Goodier, Theory of Elasticity. New York, NY, USA: McGraw-Hill, 1951.
  • C. L. Chow and Z. Wei, “Continuum damage mechanics models for creep damage,” J. Eng. Mater. Technol., vol. 113, no. 1, pp. 101–106, 1991.
  • R. J. Parker and K. W. Ewing, “Fatigue and fracture behavior of aluminum alloys,” J. Mater. Process. Technol., vol. 25, no. 1, pp. 193–204, 1988.
  • H. W. Lee and H. S. Chang, “Damage evolution in aluminum alloys,” J. Alloys Compd., vol. 425, nos. 1–2, pp. 256–262, 2006.
  • G. Zhao, “High strength aluminum alloys: Current and future trends,” Metall. Trans. A, vol. 31, no. 3, pp. 463–477, 2000.
  • ASTM International, “Standard specification for aluminum and aluminum-alloy sheet and plate,” ASTM B209-04, 2004.
  • J. R. Davis, Aluminum and Aluminum Alloys. Materials Park, OH, USA: ASM International, 1999.
  • J. E. Hatch, Aluminum: Properties and Physical Metallurgy. Materials Park, OH, USA: ASM International, 1984.
  • J. G. Kaufman, Properties of Aluminum Alloys: Tensile, Creep, and Fatigue Data at High and Low Temperatures. Materials Park, OH, USA: ASM International, 2000.
  • I. J. Polmear, Light Alloys: From Traditional Alloys to Nanocrystals, 4th ed. Oxford, U.K.: Butterworth-Heinemann, 2006.
  • H. E. Boyer and T. L. Gall, Metals Handbook Desk Edition. Materials Park, OH, USA: ASM International, 1995.
  • R. J. Roark and W. C. Young, Formulas for Stress and Strain. New York, NY, USA: McGraw-Hill, 1989.
  • G. E. Dieter, Mechanical Metallurgy, 3rd ed. New York, NY, USA: McGraw-Hill, 1986.
  • C. Vargel, Corrosion of Aluminum. Amsterdam, The Netherlands: Elsevier, 2004.
  • E. A. Starke and J. T. Staley, “Application of modern aluminum alloys to aircraft,” Prog. Aerosp. Sci., vol. 32, nos. 2–3, pp. 131–172, 1996.
  • J. G. Kaufman and E. L. Rooy, Aluminum Alloy Castings: Properties, Processes, and Applications. Materials Park, OH, USA: ASM International, 2004.
  • W. S. Miller et al., “Recent developments in aluminum alloys for the automotive industry,” Mater. Sci. Eng. A, vol. 280, no. 1, pp. 37–49, 2000.
  • P. B. Nagy, “Fatigue damage assessment by nondestructive methods,” Int. J. Fatigue, vol. 20, no. 5, pp. 367–374, 1998.
  • ASTM International, “Standard test methods for tension testing of metallic materials,” ASTM E8/E8M-12, 2012.
  • ISO, “Metallic materials — Tensile testing,” ISO 6892-1, 2011.
  • X. Wang and Q. Liu, “Microstructure and mechanical properties of aluminum alloys,” J. Alloys Compd., vol. 645, pp. 1–10, 2015.
  • S. Murakami, “Mechanical behavior of materials under creep and damage,” Eng. Fract. Mech., vol. 29, no. 2, pp. 117–124, 1988.
  • F. H. Norton, Creep of Steel at High Temperatures. New York, NY, USA: McGraw-Hill, 1929.
  • J. Lemaitre, “A continuous damage mechanics model for ductile fracture,” Eng. Fract. Mech., vol. 44, no. 5, pp. 729–739, 1992.
  • F. Zairi et al., “Damage mechanics models for polymer materials,” Prog. Mater. Sci., vol. 58, no. 1, pp. 90–133, 2013.
  • W. Ramberg and W. R. Osgood, “Description of stress–strain curves by three parameters,” NACA Rep. 902, 1943.
  • G. I. Barenblatt, “The mathematical theory of equilibrium cracks,” Adv. Appl. Mech., vol. 7, pp. 55–129, 1962.
  • A. Kelly and N. H. Macmillan, Strong Solids. Oxford, U.K.: Clarendon Press, 1986.
  • A. S. Argon, “Mechanisms of ductile fracture,” Acta Metall., vol. 23, no. 6, pp. 817–843, 1975.
  • T. Mura, Micromechanics of Defects in Solids. Dordrecht, The Netherlands: Springer, 1987.
  • K. K. Chawla, Composite Materials: Science and Engineering, 3rd ed. New York, NY, USA: Springer, 2012.
  • S. Zhang et al., “Fatigue and fracture behavior in high-strength aluminum alloys,” Mater. Sci. Eng. A, vol. 698, pp. 183–192, 2017.
  • W. C. Cui and Z. Ma, “Fatigue behavior of welded aluminum alloys,” Mar. Struct., vol. 24, no. 1, pp. 1–13, 2011.
  • N. E. Dowling, Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, 4th ed. Harlow, U.K.: Pearson, 2012.
  • P. Paris and F. Erdogan, “A critical analysis of crack propagation laws,” J. Basic Eng., vol. 85, no. 4, pp. 528–534, 1963.
  • N. Kojima and T. Fujimoto, “Damage tolerance design of aircraft structures,” J. Aircraft, vol. 32, no. 2, pp. 358–364, 1995.