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Date of download: 12/27/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Cyclic RO models superimposed with MLIH points at 300 °C and 500 °C

2 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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].

3 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Cyclic RO models at various temperatures superimposed with published data

4 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Sketch of a hysteresis loop with sample segments along the top left shoulder

5 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Sketch of the fitting and segment bounds on a cyclic RO curve using the proposed determination method

6 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Temperature dependence of NLKH parameters for midlife

7 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Sample simulated elastic–plastic NLKH hysteresis loops for various completely reversed strain ranges between 0.4% and 3% at 500 °C

8 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Sample simulated elastic–plastic NLKH hysteresis loops for various temperatures and a completely reversed strain range of 1.4%

9 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: SSC Model with published data from NIMS [22] and Parker [19]

10 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Single-step loading using the midlife NLKH constants at 600 °C with a variety of strain rates

11 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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

12 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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.

13 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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

14 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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

15 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: Comparison of predicted (a) in-phase and (b) out-of-phase TMF hysteresis loops with superimposed simulated NLKH+SSC and MLIH + SSC and data

16 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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%

17 Date of download: 12/27/2017 Copyright © ASME. All rights reserved. From: Development of Noninteraction Material Models With Cyclic Hardening J. Eng. Mater. Technol. 2016;138(4): doi: / Figure Legend: 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%


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