Study on the Material Parameter Extraction of the Overlay Model for the Low Cycle Fatigue(LCF) Analysis

저주기 피로해석을 위한 다층모델의 재료상수 추출에 관한 연구

  • Kim, Sang-Ho (Research & Development Center, Sejong Industrial Co. Ltd.) ;
  • Kabir, S.M. Humayun (School of Mechanical & Automotive Engineering, University of Ulsan) ;
  • Yeo, Tae-In (School of Mechanical & Automotive Engineering, University of Ulsan)
  • Received : 2009.03.26
  • Accepted : 2009.07.30
  • Published : 2010.01.01

Abstract

This work was focused on the material parameter extraction for the isothermal cyclic deformation analysis for which Chaboche(Combined Nonlinear Isotropic and Kinematic Hardening) and Overlay(Multi Linear Hardening) models are normally used. In this study all the parameters were driven especially based on Overlay theories. A simple method is suggested to find out best material parameters for the cyclic deformation analysis prior to the isothermal LCF(Low Cycle Fatigue) analysis. The parameter extraction was done using 400 series stainless steel data which were published in the reference papers. For simple and quick review of the parameters extracted by suggested method, 1D FORTRAN program was developed, and this program could reduce the time for checking the material data tremendously. For the application to FE code ABAQUS user subroutine for the material models was developed by means of UMAT(User Material Subroutine), and the stabilized hysteresis loops obtained by the numerical analysis were in good harmony with test results.

Keywords

References

  1. J. L. Chaboche, "Time-independent Constitutive Theories for Cyclic Plasticity," Int. J. Plasticity, Vol.2, No.2, pp.149-188. 1986. https://doi.org/10.1016/0749-6419(86)90010-0
  2. S. S. Yoon, S. G. Hong and S. B. Lee, "Phenomeno-logical Description of Cyclic Deformation Using the Overlay Model," Material Science and Engineering A364, pp.17-26, 2006.
  3. A. K. Miller, Unified Constitutive Equations for Creep and Plasticity, Elsevier Applied Science, London, 1987.
  4. A. S. Krausz and K. Krausz, Unified Constitutive Laws of Plastic Deformation, Academic Press, 1996.
  5. K. Schiffner, "Overlay Models for Structural Analysis under Cyclic Loading," Computer & Structures, Vol.56, pp.321-328. 1995. https://doi.org/10.1016/0045-7949(95)00025-C
  6. J. F. Besseling, "A Theory of Elastic, Plastic, and Creep Deformations of an Initially Isotropic Material Showing Anisotropic Strain Hardening, Creep Recovery, and Secondary Creep," Journal of Applied Mechanics, pp.529-536. 1958.
  7. M. Orits and J. C. Simo, "An Analysis of a New Class of Integration Algorithms for Elastoplastic Constitutive Equations," Int. J. Num. Meth. Engng., Vol.23, p.353, 1986. https://doi.org/10.1002/nme.1620230303
  8. K. Hornberger and H. Stamm, "An Implicit Integration Algorithms with a Projection Method for viscoplastic Constitutive Equation," Int. J. Num. Meth. Engng., Vol.28, p.2397, 1989. https://doi.org/10.1002/nme.1620281013
  9. J. L. Chaboche and G. Cailletaud, "Integration Methods for Complex Plastic Constitutive Equations," Comp. Meth. Appl. Mech. Engng., p. 125, 1996.
  10. D. R. J. Owen, A. Prakash and O. C. Zienkiewicz, "Finite Element Analysis of Nonlinear Composite Materials by Use of Overlay Systems," Computer & Structures, Vol.4, pp.1251- 1267, 1974. https://doi.org/10.1016/0045-7949(74)90035-2
  11. S. S. Yoon, S. B. Lee and J. B. Kim, "Generalization of Integration Methods for Complex Inelastic Constitutive Equations with State Variables," Transaction of the KSME, A, Vol.24, No.5, pp.1075-1083, 2000.
  12. S. S. Yoon and S. B. Lee, "A Semi-Implicit Integration for Rate-Dependent Plasticity with Non-linear Kinematic Hardening," Transaction of the KSME, A, Vol.27, No.9, pp.1562-1570, 2003.
  13. S. S. Yoon and S. B. Lee, "Comparison of Semi-Implicit Integration Schemes for Rate- Dependent Plasticity," Transaction of the KSME, A, Vol.27, No.11, pp.1907-1916. 2003.
  14. L. G. Zhao, J. Tong, B. Vermeulen and J. Byrne, "On the Uniaxial Mechanical Behaviour of an Advanced Nickel Base Superalloy at High Temperature," Mechanics of Materials, Vol.33, pp.593-600, 2001. https://doi.org/10.1016/S0167-6636(01)00071-0
  15. J. Tong, Z. L. Zhan and B. Vermeulen, "Modeling of Cyclic Plasticity and Viscoplasticity of a Nickel-based Alloy using Chaboche Constitutive Equations," Int. Journal of Fatigue, Vol.26, pp.829-837, 2004. https://doi.org/10.1016/j.ijfatigue.2004.01.002
  16. S. S. Yoon, S. G. Hong, S. B. Lee and B. S. Kim, "Low Cycle Fatigue Testing of 429EM Stainless Steel Pipe," Int. Journal of Fatigue, Vol.25, pp.1301-1307, 2003. https://doi.org/10.1016/j.ijfatigue.2003.08.015
  17. W. H. Press and B. H. Thacker, Numerical Recipes in Fortran, Cambridge Press, 1992.