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Computational Multiscale Modeling of Nickel-Based Superalloys Containing Gamma-Gamma’ Precipitates

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Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 57))

Abstract

A hierarchical crystal plasticity constitutive model, comprising three different scales for polycrystalline microstructures of Ni-based superalloys, is developed. Three scales, dominant in models of polycrystalline Ni-based superalloys, are: (i) the sub-grain scale of \(\gamma \)–\(\gamma '\) microstructure, characterized by \(\gamma '\) precipitate size and their spacing; (ii) grain-scale characterized by the size of single crystals; and (iii) the scale of polycrystalline representative volume elements. A homogenized activation energy-based crystal plasticity (AE-CP) FEM model is developed for the grain-scale, accounting for characteristic parameters of the sub-grain scale \(\gamma \)–\(\gamma '\) morphology. A significant advantage of this AE-CP model is that its high efficiency enables it to be effectively incorporated in polycrystalline crystal plasticity FE simulations, while retaining the accuracy of detailed sub-grain level representative volume element (SG-RVE) models. The SG-RVE models are created for variable morphology, e.g. volume fraction, precipitate shape and channel-widths. The sub-grain crystal plasticity model incorporates a dislocation density-based crystal plasticity model augmented with mechanisms of anti-phase boundary (APB) shearing of precipitates. The sub-grain model is homogenized for developing parametric functions of morphological variables in evolution laws of the AE-CP model. Micro-twinning initiation and evolution models are incorporated in the single crystal AE-CP finite element models for manifesting tension-compression asymmetry. In the next ascending scale, a polycrystalline microstructure of Ni-based superalloys is simulated using an augmented AE-CP FE model with micro-twinning. Statistically equivalent virtual polycrystals of the alloy CMSX-4 are created for simulations with the homogenized model. The results of simulations at each scale are compared with experimental data with good agreement.

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Acknowledgments

This work has been partially supported by the National Science Foundation, Civil and Mechanical Systems Division through Grant No. CMMI-0800587 (program manager: Dr. Clark Cooper), and by Air Force Office of Scientific Research through Grant No. FA9550-13-1-0062 (program manager: Dr. David Stargel). This sponsorship is gratefully acknowledged. Computer use of the Hopkins High Performance Computing facilities is gratefully acknowledged.

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Authors and Affiliations

  1. Departments of Civil and Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA

    Somnath Ghosh, Shahriyar Keshavarz & George Weber

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  1. Somnath Ghosh
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  2. Shahriyar Keshavarz
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  3. George Weber
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Correspondence to Somnath Ghosh .

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Editors and Affiliations

  1. Fakultät für Maschinenbau Otto-von-Guericke-Univ. Magdeburg, Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Fakultät für Bauingenieurwesen und Umweltwissenschaften, Institut für Mechanik und Statik Universität der Bundeswehr München, Neubiberg, Germany

    Michael Brünig

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Ghosh, S., Keshavarz, S., Weber, G. (2015). Computational Multiscale Modeling of Nickel-Based Superalloys Containing Gamma-Gamma’ Precipitates. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_5

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  • DOI: https://doi.org/10.1007/978-3-319-14660-7_5

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  • Print ISBN: 978-3-319-14659-1

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