Research Papers

Development of Noninteraction Material Models With Cyclic Hardening

[+] Author and Article Information
Thomas Bouchenot

Department of Mechanical
and Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: Thomas.Bouchenot@knights.ucf.edu

Bassem Felemban

Department of Mechanical
and Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: Engg.Bassem@gmail.com

Cristian Mejia

Department of Mechanical
and Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: Mejia.Cristian72@knights.ucf.edu

Ali P. Gordon

Associate Professor
Department of Mechanical
and Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: Ali.Gordon@ucf.edu

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received January 12, 2016; final manuscript received April 15, 2016; published online June 15, 2016. Assoc. Editor: Huiling Duan.

J. Eng. Mater. Technol 138(4), 041007 (Jun 15, 2016) (15 pages) Paper No: MATS-16-1012; doi: 10.1115/1.4033488 History: Received January 12, 2016; Revised April 15, 2016

Simulation plays a critical role in the development and evaluation of critical components that are regularly subjected to mechanical loads at elevated temperatures. The cost, applicability, and accuracy of either numerical or analytical simulations are largely dependent on the material model chosen for the application. A noninteraction (NI) model derived from individual elastic, plastic, and creep components is developed in this study. The candidate material under examination for this application is 2.25Cr–1Mo, a low-alloy ferritic steel commonly used in chemical processing, nuclear reactors, pressure vessels, and power generation. Data acquired from prior research over a range of temperatures up to 650 °C are used to calibrate the creep and plastic components described using constitutive models generally native to general-purpose fea. Traditional methods invoked to generate constitutive modeling coefficients employ numerical fittings of hysteresis data, which result in values that are neither repeatable nor display reasonable temperature dependence. By extrapolating simplifications commonly used for reduced-order model approximations, an extension utilizing only the cyclic Ramberg–Osgood (RO) coefficients has been developed. This method is used to identify the nonlinear kinematic hardening (NLKH) constants needed at each temperature. Single-element simulations are conducted to verify the accuracy of the approach. Results are compared with isothermal and nonisothermal literature data.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.


Bouchenot, T. , Gordon, A. P. , Shinde, S. , and Gravett, P. , 2014, “ An Analytical Stress-Strain Hysteresis Model for a Directionally-Solidified Superalloy Under Thermomechanical Fatigue,” ASME Paper No. GT2014-27329.
Bouchenot, T. , Gordon, A. P. , Shinde, S. , and Gravett, P. , 2014, “ Approach for Stabilized Peak/Valley Stress Modeling of Non-Isothermal Fatigue of a DS Ni-Base Superalloy,” Mater. Perform. Charact., 3(2), pp. 16–43.
Ramberg, W. , and Osgood, W. R. , 1943, “ Description of Stress-Strain Curves by Three Parameters,” Patent No. NACA-TN-902.
Masing, G. , 1926, “ Eigenspannungen und Verfestigung beim Messing (Self Stretching and Hardening for Brass),” Second International Congress for Applied Mechanics, Zurich, Switzerland, Sept. 12–17, pp. 332–335.
Besseling, J. F. , 1958, “ A Theory of Elastic, Plastic and Creep Deformations of an Initially Isotropic Material,” J. Appl. Mech., 25, pp. 529–536.
Armstrong, P. J. , and Frederick, C. O. , 1966, “ A Mathematical Representation of the Multiaxial Bauschinger Effect,” Central Electricity Generating Board, Berkeley, UK, CEGB Report RD/B/N 731.
Chaboche, J.-L. , 1986, “ Time-Independent Constitutive Theories for Cyclic Plasticity,” Int. J. Plast., 2(2), pp. 149–188. [CrossRef]
Chaboche, J.-L. , 1989, “ Constitutive Equations for Cyclic Plasticity and Cyclic Viscoplasticity,” Int. J. Plast., 5(3), pp. 247–302. [CrossRef]
Gong, Y. P. , Hyde, C. J. , Sun, W. , and Hyde, T. H. , 2010, “ Determination of Material Properties in the Chaboche Unified Viscoplasticity Model,” Inst. Mech. Eng., Part L, 224, pp. 19–29. [CrossRef]
Rahman, S. M. , Hassan, T. , and Ranjithan, S. R. , 2005, “ Automated Parameter Determination of Advanced Constitutive Models,” ASME Paper No. PVP2005-71634.
Norton, F. H. , 1929, The Creep of Steel at High Temperature, McGraw-Hill, New York.
Garofalo, F. , 1965, Fundamentals of Creep and Creep Rupture in Metals, MacMillan, New York.
Rieiro, I. , Carsi, M. , and Ruano, O. A. , 2009, “ New Numerical Method for the Fit of Garofalo Equation and Its Application for Predicting Hot Workability of a (V-N) Microalloyed Steel,” Mater. Sci. Technol., 25(8), pp. 995–1002. [CrossRef]
Yin, S.-N. , Kim, W.-G. , Jung, I.-H. , Kim, Y.-W. , and Kim, S.-J. , 2008, Creep Curve Modeling to Generate the Isochronous Stress-Strain Curve of Type 316LN Stainless Steel, Trans Tech Publications Ltd., Stafa-Zuerich, Switzerland, pp. 705–708.
May, D. L. , Gordon, A. P. , and Segletes, D. S. , 2013, “ The Application of the Norton-Bailey Law for Creep Prediction Through Power Law Regression,” ASME Paper No. GT2013-96008.
ASTM, 2013, “ Standard Specification for Pressure Vessel Plates, Alloy Steel, Quenched-and-Tempered, Chromium-Molybdenum, and Chromium-Molybdenum-Vanadium,” ASTM Book of Standards Volume 01.04, ASTM International, West Conshohocken, PA, Standard No. ASTM A542/A542M-13.
Tian, Y. , Yu, D. , Zhao, Z. , Chen, G. , and Chen, X. , 2016, “ Low Cycle Fatigue and Creep–Fatigue Interaction Behaviour of 2.25Cr1MoV Steel at Elevated Temperature,” Mater. High Temp., 33(1), pp. 75–84. [CrossRef]
N.R.I.F. Metals, 1989, “ Data Sheets on the Elevated-Temperature, Time-Dependent Low-Cycle Fatigue Properties of SCMV 4 (2.25Cr-1Mo) Steel Plates for Pressure Vessels #62,” NRIM Fatigue Data Sheet, NRIM, Tokyo, Japan.
Parker, J. D. , 1985, “ Prediction of Creep Deformation and Failure for 1/2 Cr-1/2 Mo-1/4 V and 2-1/4 Cr-1 Mo Steels,” ASME J. Pressure Vessel Technol., 107(3), pp. 279–284. [CrossRef]
N.I.F.M. Science, 2004, “ Data Sheets on Long-Term, High-Temperature Low-Cycle Fatigue Properties of SCMV 4 (2.25Cr-1Mo) Steel Plate for Boilers and Pressure Vessels #94,” NIMS Fatigue Data Sheet, NIMS, Tsukuba, Japan.
Polak, J. , Helesic, J. , and Klesnil, M. , 1987, “ Effect of Elevated Temperatures on the Low Cycle Fatigue of 2. 25Cr-1Mo Steel—Part 1: Constant Amplitude Straining,” Low Cycle Fatigue: A Symposium, ASTM Special Technical Publication 942, Sept. 30, 1987, ASTM, Bolton Landing, NY, pp. 43–57.
N.I.F.M. Science, 2003, “ Data Sheets on the Elevated-Temperature Properties of Quenched and Tempered 2.25Cr-1Mo Steel Plates for Pressure Vessels (ASTM A542/A542M) #36B,” NIMS Creep Data Sheet, NIMS, Tsukuba, Japan.
Iwasaki, Y. , Hiroe, T. , and Igari, T. , 1987, “ Application of the Viscoplasticity Theory to the Inelastic Analysis at Elevated Temperature (On the Deformation and Lifetime Analysis Under Time-Varying Temperature),” Trans. Jpn. Soc. Mech. Eng., Part A, 53(493), pp. 1838–1843. [CrossRef]
Dowling, N. E. , 1999, Mechanical Behavior of Materials, Prentice Hall, Upper Saddle River, NJ.
Gordon, A. P. , 2012, Dictionary of Experiments of Mechanics of Materials, Creative Printing and Publishing, Sanford, FL.
McEvily, A. J. , 1983, “ On the Quantitative Analysis of Fatigue Crack Propagation,” J. Lankford , D. L. Davidson , W. L. Morris , and R. P. Wei , eds., Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage, ASTM, West Conshohocken, PA.
Jordan, E. H. , and Meyers, G. J. , 1989, “ Fracture-Mechanics Applied to Elevated-Temperature Crack-Growth,” J. Eng. Mater. Technol., 111(3), pp. 306–313. [CrossRef]
Kalnins, A. , Rudolph, J. , and Willuweit, A. , 2013, “ Using the Nonlinear Kinematic Hardening Material Model of Chaboche for Elastic-Plastic Ratcheting Analysis,” ASME Paper. No. PVP2013-98150.
Imaoka, S. , 2008, “Chaboche Nonlinear Kinematic Hardening Model,” ANSYS Release 12.0.1, http://ansys.net/collection/1105
Lemaitre, J. , and Chaboche, J.-L. , 1990, Mechanics of Solid Materials, Cambridge University Press, Cambridge, NY.
Dos Reis Sobrinho, J. F. , and De Oliveira Bueno, L. , 2014, “ Hot Tensile and Creep Rupture Data Extrapolation on 2.25Cr-1Mo Steel Using the CDM Penny–Kachanov Methodology,” Mater. Res., 17(2), pp. 518–526. [CrossRef]


Grahic Jump Location
Fig. 1

Cyclic RO models superimposed with MLIH points at 300 °C and 500 °C

Grahic Jump Location
Fig. 2

Plot of the (a) Young's modulus, elongation and (b) yield strength, ultimate tensile strength, and cyclic yield strength with respect to temperature for 2.25Cr–1Mo. Values obtained from literature sources [18,19].

Grahic Jump Location
Fig. 3

Cyclic RO models at various temperatures superimposed with published data

Grahic Jump Location
Fig. 4

Sketch of a hysteresis loop with sample segments along the top left shoulder

Grahic Jump Location
Fig. 5

Sketch of the fitting and segment bounds on a cyclic RO curve using the proposed determination method

Grahic Jump Location
Fig. 6

Temperature dependence of NLKH parameters for midlife

Grahic Jump Location
Fig. 7

Sample simulated elastic–plastic NLKH hysteresis loops for various completely reversed strain ranges between 0.4% and 3% at 500 °C

Grahic Jump Location
Fig. 8

Sample simulated elastic–plastic NLKH hysteresis loops for various temperatures and a completely reversed strain range of 1.4%

Grahic Jump Location
Fig. 9

SSC Model with published data from NIMS [22] and Parker [19]

Grahic Jump Location
Fig. 10

Single-step loading using the midlife NLKH constants at 600 °C with a variety of strain rates

Grahic Jump Location
Fig. 11

Simulated NLKH + SSC and MLIH + SSC hysteresis loops compared with experimental results for isothermal conditions at (a),(b) 20 °C and (c),(d) 500 °C

Grahic Jump Location
Fig. 12

Comparison of stress amplitude from literature data [18,20] and simulated data using the (a) MLIH + SSC and (b) NLKH + SSC model. Upper and lower reference lines of ± 50 MPa are also plotted.

Grahic Jump Location
Fig. 13

Comparison between NLKH + SSC and MLIH + SSC model predictions with Tian et al. experimental stabilized completely reversed LCF hysteresis data conducted at (a) 355 °C, (b) 455 °C, and (c) 555 °C

Grahic Jump Location
Fig. 14

NLKH + SSC and MLIH + SSC model predictions with NRIM experimental maximum, minimum, and relaxed stress values for creep-fatigue with 0.1 hr dwells for Δε = 1% at (a) 500 °C and (b) 600 °C and for Δε = 2% at (c) 500 °C and (d) 600 °C

Grahic Jump Location
Fig. 15

Comparison of predicted (a) in-phase and (b) out-of-phase TMF hysteresis loops with superimposed simulated NLKH+SSC and MLIH + SSC and data

Grahic Jump Location
Fig. 16

Simulated results for isothermal creep-fatigue loading at 500 °C with a zero-to-compression strain ratio for (a) Δε = 0.1%, (b) Δε = 0.25%, and (c) Δε = 0.5%

Grahic Jump Location
Fig. 17

Simulated results for TMF conditions with a compressive dwell loaded in zero-to-compression. Simulations carried out for NLKH + SSC and MLIH + SSC models utilizing the (a) monotonic parameters with Δε = 0.25%, (b) monotonic parameters with Δε = 0.5%, (c) midlife parameters with Δε = 0.25%, and (d) midlife parameters with Δε = 0.5%




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In