Skip to main content
SpringerLink
Log in

Derivation of Process Path Functions in Machining of Al Alloy 7075

  • Published:
Journal of Materials Engineering and Performance Aims and scope Submit manuscript

Abstract

The evolution of micro-texture below the machined surface is computationally modeled and experimentally verified. The orientation distribution functions of the grains below the surface were represented in spectral form. The microstructure descriptor coefficients were derived, and their change with respect to the change in the cutting feed rate was computationally calculated and monitored. Micro-texture experimental observations conducted by electron back-scatter diffraction technique verify the modeling outputs. Continuation of changing the process parameter was done by finite element method, and the evolution in texture was investigated by computational modeling. The process path function which correlates micro-texture evolution and cutting feed rate, was obtained by applying the principle of orientation conservation in the Euler space. As a result of the major finding of this work, i.e., derivation of process path functions, the evolution of texture as a function of the material feed rate is numerically determined without any need to texture modeling or finite element analyses.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. R. Asthana, A. Kumar, and N.B. Dahotre, Materials Processing and Manufacturing Science, Butterworth-Heinemann, Oxford, 2006

    Google Scholar 

  2. N. Bontcheva and G. Petzov, Microstructure Evolution During Metal Forming Processes, Comput. Mater. Sci., 2003, 28(3), p 563–573

    Article  Google Scholar 

  3. I. Ghamarian et al., A Constitutive Equation Relating Composition and Microstructure to Properties in Ti-6Al-4V: As Derived Using a Novel Integrated Computational Approach, Metall. Mater. Trans. A, 2015, doi:10.1007/s11661-015-3072-4

    Google Scholar 

  4. G. Saheli, H. Garmestani, and B. Adams, Microstructure Design of a Two Phase Composite Using Two-Point Correlation Functions, J. Comput. Aided Mater. Des., 2004, 11(2), p 103–115

    Article  Google Scholar 

  5. D. Li et al., Multiproperty Microstructure and Property Design of Magnetic Materials, J. Eng. Mater. Technol., 2008, 130(2), p 021023

    Article  Google Scholar 

  6. D.T. Fullwood et al., Microstructure Sensitive Design for Performance Optimization, Prog. Mater Sci., 2010, 55(6), p 477–562

    Article  Google Scholar 

  7. S. Tabei et al., Microstructure Reconstruction and Homogenization of Porous Ni-YSZ Composites for Temperature Dependent Properties, J. Power Sources, 2013, 235(1), p 74–80

    Article  Google Scholar 

  8. M. Baniassadi et al., Three-Dimensional Reconstruction and Homogenization of Heterogeneous Materials Using Statistical Correlation Functions and FEM, Comput. Mater. Sci., 2012, 51(1), p 372–379

    Article  Google Scholar 

  9. A. Tabei, S. Ahzi, D.S. Li, C.A. Lavender, and H. Garmestani, Effects of Morphology and Geometry of Inclusions on Two-Point Correlation Statistics in Two Phase Composites, Int. J. Theor. Appl. Multiscale Mech., 2014, 3(1), p 1–17

    Article  Google Scholar 

  10. O. Engler, Texture and Anisotropy in the Al-Mg Alloy AA 5005—Part I: Texture Evolution During Rolling and Recrystallization, Mater. Sci. Eng., A, 2014, 618, p 654–662

    Article  Google Scholar 

  11. T. Li et al., Production of Fine-Grained and Weak Texture Structure in an Mg-7Gd-5Y-1Nd-0.5 Zr Alloy by Multi-Axial Forging, Appl Mech Mater, 2014, 633, p 120–124

    Google Scholar 

  12. F. Kabirian, A.S. Khan, and T. Gnäupel-Herlod, Visco-plastic Modeling of Mechanical Responses and Texture Evolution in Extruded AZ31 Magnesium Alloy for Various Loading Conditions, Int. J. Plast, 2015, 68, p 1–20

    Article  Google Scholar 

  13. S. Shajari, M.H. Sadeghi, and H. Hassanpour, The Influence of Tool Path Strategies on Cutting Force and Surface Texture during Ball End Milling of Low Curvature Convex Surfaces, ScientificWorldJournal, 2014, 2014, p 374526

    Article  Google Scholar 

  14. A. Tabei et al., Analysis of Micro-texture and Grain Size Distributions in Machined Aluminum Alloy 7075, Adv. Mater. Res., 2014, 1052(1), p 489–494

    Article  Google Scholar 

  15. H.J. Bunge and P.R. Morris, Texture Analysis in Materials Science: Mathematical Methods, Butterworths, London, 1982

    Google Scholar 

  16. A. Clement, Prediction of Deformation Texture Using a Physical Principle of Conservation, Mater. Sci. Eng., 1982, 55(2), p 203–210

    Article  Google Scholar 

  17. D.S. Li, J. Bouhattate, and H. Garmestani, Processing Path Model to Describe Texture Evolution During Mechanical Processing, Mater. Sci. Forum, 2005, 495(1), p 977–982

    Article  Google Scholar 

  18. S.G. Epstein, Aluminum and Its Alloys, Aluminum Association, Washington, D.C., 1994

    Google Scholar 

  19. N. Brar, V. Joshi, and B. Harris, Constitutive Model Constants for Al7075-t651 and Al7075-t6. In Shock Compression of Condensed Matter 2009, Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter, 2009, AIP Publishing

  20. S. Lin, H. Garmestani, and B. Adams, The Evolution of Probability Functions in an Inelastically Deforming Two-Phase Medium, Int. J. Solids Struct., 2000, 37(3), p 423–434

    Article  Google Scholar 

  21. H. Garmestani et al., Statistical Continuum Theory for Large Plastic Deformation of Polycrystalline Materials, J. Mech. Phys. Solids, 2001, 49(3), p 589–607

    Article  Google Scholar 

  22. J.D. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proc. R. Soc. Lond. A, 1957, 241(1226), p 376–396

    Article  Google Scholar 

  23. A. Molinari, G. Canova, and S. Ahzi, A Self Consistent Approach of the Large Deformation Polycrystal Viscoplasticity, Acta Metall., 1987, 35(12), p 2983–2994

    Article  Google Scholar 

  24. R. Lebensohn and C. Tomé, A Self-Consistent Anisotropic Approach for the Simulation of Plastic Deformation and Texture Development of Polycrystals: Application to Zirconium Alloys, Acta Metall. Mater., 1993, 41(9), p 2611–2624

    Article  Google Scholar 

  25. D. Li, H. Garmestani, and S. Schoenfeld, Evolution of Crystal Orientation Distribution Coefficients During Plastic Deformation, Scr. Mater., 2003, 49(9), p 867–872

    Article  Google Scholar 

  26. S. Ahmadi, B. Adams, and D. Fullwood, An Eulerian-Based Formulation for Studying the Evolution of the Microstructure under Plastic Deformations, Comput. Mater. Contin., 2010, 14(2), p 141–170

    Google Scholar 

  27. D. Li, H. Garmestani, and S. Ahzi, Processing Path Optimization to Achieve Desired Texture in Polycrystalline Materials, Acta Mater., 2007, 55(2), p 647–654

    Article  Google Scholar 

Download references

Acknowledgments

The Boeing Company is deeply appreciated for financial support of this project.

Author information

Authors and Affiliations

  1. G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    A. Tabei & S. Y. Liang

  2. Boeing Research & Technology, St. Louis, MO, USA

    D. S. Shih

  3. School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    H. Garmestani

Authors
  1. A. Tabei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Shih
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Garmestani
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Y. Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Tabei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tabei, A., Shih, D.S., Garmestani, H. et al. Derivation of Process Path Functions in Machining of Al Alloy 7075. J. of Materi Eng and Perform 24, 4503–4509 (2015). https://doi.org/10.1007/s11665-015-1706-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11665-015-1706-8

Keywords

Search

Navigation