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A stress triaxiality based modified Liu–Murakami creep damage model for creep crack growth life prediction in different specimens

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Abstract

Liu–Murakami creep damage model is improved to predict the creep life of various cracked specimens. The modified creep damage law is implemented in the framework of extended finite element method (XFEM) for performing elasto-plastic creep crack growth simulations. Experiments show that the crack tip constraints vary from component to component which leads to variation in crack growth rates. A stress triaxiality function is introduced in the modified Liu–Murakami damage model to address the variation in crack growth rates. Moreover, a new definition of stress triaxiality (ratio of a linear combination of maximum principal stress and hydrostatic stress to von Mises stress) is proposed based on Leckie and Hayhurst failure criterion. The new definition of stress triaxiality is a key parameter in the prediction of time to failure. The modified Liu–Murakami creep damage model is used for the creep crack growth (CCG) simulations of several specimens under different loading conditions. Parametric studies are also performed to study the influence of various parameters on the CCG. Moreover, a combined framework of continuum damage mechanics and XFEM is used to predict the CCG life of a turbine blade. This work establishes that the modified Liu–Murakami creep damage law accurately predicts the creep life of cracked components under different constraint conditions.

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Acknowledgements

Authors would like to thank Aeronautics Research and Development Board (AR&DB), DRDO Bhawan, New Delhi for providing the financial support to this work through Grant No: AR&DB/01/1051888/M/I.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Haridwar, Uttarakhand, 247667, India

    V. B. Pandey, I. V. Singh & B. K. Mishra

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  1. V. B. Pandey
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  2. I. V. Singh
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  3. B. K. Mishra
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Correspondence to I. V. Singh.

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Pandey, V.B., Singh, I.V. & Mishra, B.K. A stress triaxiality based modified Liu–Murakami creep damage model for creep crack growth life prediction in different specimens. Int J Fract 221, 101–121 (2020). https://doi.org/10.1007/s10704-019-00412-7

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  • DOI: https://doi.org/10.1007/s10704-019-00412-7

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