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A numerical study into element type and mesh resolution for crystal plasticity finite element modeling of explicit grain structures

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Abstract

A large number of massive crystal-plasticity-finite-element (CPFE) simulations are performed and post-processed to reveal the effects of element type and mesh resolution on accuracy of predicted mechanical fields over explicit grain structures. A CPFE model coupled with Abaqus/Standard is used to simulate simple-tension and simple-shear deformations to facilitate such quantitative mesh sensitivity studies. A grid-based polycrystalline grain structure is created synthetically by a phase-field simulation and converted to interface-conformal hexahedral and tetrahedral meshes of variable resolution. Procedures for such interface-conformal mesh generation over complex shapes are developed. FE meshes consisting of either hexahedral or tetrahedral, fully integrated as linear or quadratic elements are used for the CPFE simulations. It is shown that quadratic tetrahedral and linear hexahedral elements are more accurate for CPFE modeling than linear tetrahedral and quadratic hexahedral elements. Furthermore, tetrahedral elements are more desirable due to fast mesh generation and flexibility to describe geometries of grain structures.

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Acknowledgements

This work is based upon a project supported by the U.S. National Science Foundation under grant no. CMMI-1650641. The authors gratefully acknowledge this support. This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government. Sandia National Laboratories is a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.

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  1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH, 03824, USA

    William G. Feather & Marko Knezevic

  2. Department of Computational Materials and Data Science, Sandia National Laboratories, Albuquerque, NM, 87185, USA

    Hojun Lim

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  1. William G. Feather
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Correspondence to Marko Knezevic.

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Appendices

Appendix 1

See Table 8.

Table 8 Bunge-Euler angles (\( \phi_{1} \), \( {\varPhi} \), \( \phi_{2} \)) in degrees and corresponding volume fraction (VF) of crystals used to initialize the model
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Appendix 2

See Figs. 8 and 9.

Fig. 8
figure 8figure 8

a Equivalent strain and b pressure contours after simple tension to a displacement of U = 0.22

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Fig. 9
figure 9figure 9

a Equivalent strain and b pressure contours after simple shear to a displacement of 0.22

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Feather, W.G., Lim, H. & Knezevic, M. A numerical study into element type and mesh resolution for crystal plasticity finite element modeling of explicit grain structures. Comput Mech 67, 33–55 (2021). https://doi.org/10.1007/s00466-020-01918-x

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