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Implementation of Combined Ohno-Wang Nonlinear Kinematic Hardening Model and Norton-Bailey Creep Model Using Partitioned Stress Integration Technique

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Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 75))

Abstract

The formulation of stress integration and the consistent tangent matrix for the combined Ohno-Wang and Norton-Bailey constitutive model is derived and it is implemented using a partitioned stress integration technique. The constitutive equation is included in a finite element analysis code, ADVENTURE_Solid Ver. 2, and it is verified by solving a simple illustrative example with one hexahedral element.

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References

  1. Ohno, N., Wang, J.D.: Kinematic hardening rules with critical state of dynamic recovery, Part I: formulation and basic features for ratchetting behavior. Int. J. Plast 9, 375–390 (1993)

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  2. Frederick, C.O., Armstrong, P.J.: A mathematical representation of the multiaxial Bauschinger effect, materials at high temperatures 24(1), 1–26 (2007) (republished version of 1966)

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  3. Kobayashi, M., Mukai, M., Takahashi, H., Ohno, N., Kawakami, T., Ishikawa, T.: Implicit integration and consistent tangent modulus of a time-dependent non-unified constitutive model. Int. J. Numer. Meth. Eng. 58, 1523–1543 (2003)

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  4. ADVENTURE project, https://adventure.sys.t.u-tokyo.ac.jp/. Last accessed 23 Dec 2018

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Acknowledgements

The present study was supported by MEXT Post-K Project Priority Issue 6: Accelerated Development of Innovative Clean Energy Systems.

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Correspondence to Tomoshi Miyamura .

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Miyamura, T., Yusa, Y., Yin, J., Koike, K., Ikeda, T., Yamada, T. (2020). Implementation of Combined Ohno-Wang Nonlinear Kinematic Hardening Model and Norton-Bailey Creep Model Using Partitioned Stress Integration Technique. In: Okada, H., Atluri, S. (eds) Computational and Experimental Simulations in Engineering. ICCES 2019. Mechanisms and Machine Science, vol 75. Springer, Cham. https://doi.org/10.1007/978-3-030-27053-7_35

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  • DOI: https://doi.org/10.1007/978-3-030-27053-7_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27052-0

  • Online ISBN: 978-3-030-27053-7

  • eBook Packages: EngineeringEngineering (R0)

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