Skip to main content
SpringerLink
Log in

Role of High Order Functions in Analysis of the Creep Behavior of a Short Fiber Composite “Silicon Carbide/Aluminum 6061”

  • Original Paper
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

A new analytical approach is proposed to analyze the steady state creep in a short fiber composite SiC/Al6061 (Silicon Carbide/Aluminum 6061) under axial load based on high order displacement functions. The creep behavior of the matrix is described by an exponential law, while the fibers behave elastically. The main originality and purpose of the present paper is to predict the creep behavior in the short fiber composite “Silicon Carbide/Aluminum 6061 using high order functions analytically. The paper is presented in order to prevent undesirable events, as well as controlling the creep deformation rate. Good agreements are found among available experimental methods, FEM and present analytical approach results. As a result, most behaviors have ascending behaviors with smooth gradients, and also are controllable.

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

Similar content being viewed by others

References

  1. Lauke B, Schultrich B (1983) Deformation behaviour of short-fibre reinforced materials with debonding interfaces. Compos Sci Technol 19(2):111–126

    CAS  Google Scholar 

  2. Hsueh CH (1992) Interfacial debonding and fiber pullout stresses of fiber-reinforced composites Part VII: improved analysis for bonded interfaces. Mater Sci Eng A 154:125–132

    Article  Google Scholar 

  3. Nayfeh AH, Abdelrahman WG (1998) Micromechanical modeling of load transfer in fibrous composites. Mech Mater 30:307–324

    Article  Google Scholar 

  4. Cox HL (1952) The elasticity and strength of paper and other fibrous materials. Br J Appl Phys 3:72–79

    Article  Google Scholar 

  5. Mileiko ST (1970) Steady state creep of a composite with short fibres. J Mater Sci 5:254–261

    Article  CAS  Google Scholar 

  6. Fukuda H, Chou TW (1981) An advanced shear-lag model applicable to discontinuous fiber composites. J Compos Mater 1(15): 79–91

    Article  Google Scholar 

  7. McLean M (1985) Creep deformation of metal–matrix composites. Compos Sci Technol 23:37–52

    Article  Google Scholar 

  8. Zhang J (2003) Modeling of the influence of fibers on creep of fiber reinforced cementitious composite. Compos Sci Technol 63(13):1877–1884

    Article  Google Scholar 

  9. Morimoto T, Yamaoka T, Lilholt H, Taya M (1988) Second stage creep of silicon carbide whisker/6061 aluminum composite at 573 K. J Eng Mater Technol 110:70–76

    Article  CAS  Google Scholar 

  10. Guo X, Lu W, Wang L, Qin J (2014) A research on the creep properties of titanium matrix composites rolled with different deformation degrees. Mater Des 63:50–55

    Article  CAS  Google Scholar 

  11. Monfared V, Daneshmand S, Reddy JN (2015) Rate dependent plastic deformation analysis of short fiber composites employing virtual fiber method. J Comput Sci 10:26– 35

    Article  Google Scholar 

  12. Monfared V, Mondali M, Abedian A (2012) Steady state creep behavior of short fiber composites by mapping, logarithmic functions (MF) and dimensionless parameter (DP) techniques. Arch Civ Mech Eng 12(4):455–463

    Article  Google Scholar 

  13. Monfared V, Mondali M, Abedian A (2013) Steady state creep analysis of polymer matrix composites using complex variable method. Proc Inst Mech Eng C J Mech 227(10):2182– 2194

    Article  Google Scholar 

  14. Monfared V, Mondali M, Abedian A (2013) Novel mathematical approaches for analyzing time dependent creep deformations in reinforced metals. J Mech Sci Technol 27(11):3277– 3285

    Article  Google Scholar 

  15. Fatoba OS, Popoola O, Popoola API (2015) The effects of silicon carbide reinforcement on the properties of Cu/SiCp composites. Silicon 7(4):351–356

    Article  CAS  Google Scholar 

  16. Nairn JA (1997) On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mech Mater 26(2):63–80

    Article  Google Scholar 

  17. Beyerlein IJ, Landis CM (1999) Shear-lag model for failure simulations of unidirectional fiber composites including matrix stiffness. Mech Mater 31(5):331–350

    Article  Google Scholar 

  18. Nairn JA, Mendels DA (2001) On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites. Mech Mater 33(6):335–362

    Article  Google Scholar 

  19. Mondali M, Monfared V, Abedian A (2013) Non-linear creep modeling of short fiber composites using hermite polynomials, hyperbolic trigonometric functions and power series. C R Mec 341(7):592–604

    Article  Google Scholar 

  20. Monfared V, Mondali M (2014) Semi-analytically presenting the creep strain rate and quasi shear-lag model as well as FEM prediction of creep debonding in short fiber composites. Mater Des 54:368–374

    Article  Google Scholar 

  21. Monfared V (2015) A displacement based model to determine the steady state creep strain rate of short fiber composites. Compos Sci Technol 107:18–28

    Article  CAS  Google Scholar 

  22. Monfared V, Daneshmand S, Monfared A H (2015) Effect of atomic number and atomic weight on time-dependent inelastic deformation in metals. Kov Mater Met Mater 53(2):85–89

    CAS  Google Scholar 

  23. Monfared V, Daneshmand S (2015) On the use of special functions for analyzing the steady state creep in short fiber composites semi-theoretically. Mater Res 18(3):588–594

    Article  Google Scholar 

  24. Monfared V (2016) Circular functions based comprehensive analysis of plastic creep deformations in the fiber reinforced composites. Appl Compos Mater 1–13, in press. doi:10.1007/s10443-016-9504-5 10.1007/s10443-016-9504-5

  25. Morgunov R B, Koplak O V (2016) Deformation defects supporting quantum readout of 29 Si nuclear spins in Si: P deformed crystals. Silicon 8(2):331–336

    Article  CAS  Google Scholar 

  26. Boyle JT, Spence J (1983) Stress analysis for creep, 1st edn. Butterworth-Heinemann, Southampton

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Young Researchers and Elite Club, Zanjan Branch, Islamic Azad University, Zanjan, Iran

    Vahid Monfared

Authors
  1. Vahid Monfared
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vahid Monfared.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Monfared, V. Role of High Order Functions in Analysis of the Creep Behavior of a Short Fiber Composite “Silicon Carbide/Aluminum 6061”. Silicon 9, 339–345 (2017). https://doi.org/10.1007/s12633-016-9502-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12633-016-9502-0

Keywords

Search

Navigation