Quantifying Grain Boundary and Orientation Effects on Copper under Compression: A Crystal Plasticity Finite Element Approach

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Abstract:

The plastic deformation behavior of polycrystalline copper is strongly governed by microstructural attributes such as grain boundaries and crystallographic orientation. In this study, the individual and coupled effects of grain size and orientation distribution on the mechanical response of copper are systematically investigated using the crystal plasticity finite element method (CPFEM). Uniaxial compression simulations are performed employing an Abaqus UMAT subroutine, and the resulting stress–strain response, slip system activity, and strain localization are examined. Polycrystalline representative volume elements (RVEs) with varying grain sizes and textures are generated to quantify their influence on flow behavior and dislocation density. The results indicate that grain refinement diminishes orientation sensitivity and the influence of individual grains, while enhancing material strength. Moreover, grain boundaries promote heterogeneous slip, localized deformation near grain edges, and increased stress–strain heterogeneity.

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Solid State Phenomena (Volume 390)

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97-109

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April 2026

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[1] P. Wang, L. Ma, X. Cheng, and X. Li, "Effect of grain size and crystallographic orientation on the corrosion behaviors of low alloy steel," Journal of Alloys and Compounds, vol. 857, 158258, 2021;.

DOI: 10.1016/j.jallcom.2020.158258

Google Scholar

[2] A. Bahmani, S. Moradi, M. Lotfpour, H. T. Jeong, and W. J. Kim, "Effect of grain size on the corrosion resistance of the Fe41Mn25Ni24Co8Cr2 high entropy alloy," Corrosion Science, vol. 230, 111892, 2024;.

DOI: 10.1016/j.corsci.2024.111892

Google Scholar

[3] R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, 1965,pp.89-101.

DOI: 10.1016/0022-5096(65)90023-2

Google Scholar

[4] R. J. Asaro and J. R. Rice, "Strain localization in ductile single crystals," Journal of the Mechanics and Physics of Solids, vol. 25, no. 5, p.309–338, 1977.

DOI: 10.1016/0022-5096(77)90001-1

Google Scholar

[5] R. J. Asaro, "Micromechanics of crystals and polycrystals," Advances in Applied Mechanics, vol. 23, p.1–115, 1983;.

DOI: 10.1016/S0065-2156(08)70242-4

Google Scholar

[6] Y. Huang, A User-Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS Finite Element Program. Cambridge, MA: Harvard University, 1991, p.1–21.

Google Scholar

[7] J. F. Nye, "Some geometrical relations in dislocated crystals," Acta Metallurgica, vol. 1, no. 2, p.153–162, 1953.

DOI: 10.1016/0001-6160(53)90054-6

Google Scholar

[8] A. Vattré, "HDR: Interfaces in crystalline materials," arXiv preprint arXiv:2307.14569, p.40–50, 2023; https://arxiv.org/abs/2307.14569.

Google Scholar

[9] Raabe, D., Zhao, Z., Park, S. J., and Roters, F. (2002). Theory of orientation gradients in plastically deformed crystals. Acta Materialia, 50, 421–440.

DOI: 10.1016/s1359-6454(01)00323-8

Google Scholar

[10] A. Arsenlis, D. M. Parks, R. Becker, and V. V. Bulatov, "On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals," Journal of the Mechanics and Physics of Solids, vol. 52, no. 6, p.1213–1246, 2004;.

DOI: 10.1016/j.jmps.2003.12.007

Google Scholar

[11] R. Hill and J. R. Rice, "Constitutive analysis of elastic–plastic crystals at arbitrary strain," Journal of the Mechanics and Physics of Solids, vol. 20, no. 6, p.401–413, 1972;.

DOI: 10.1016/0022-5096(72)90017-8

Google Scholar

[12] E. Demir, A. M. Pecchero, C. Hardie, and E. Tarleton, "OXFORD-UMAT: An efficient and versatile crystal plasticity framework International Journal of Solids and Structures, vol. 307, 2025.

DOI: 10.1016/j.ijsolstr.2024.113110

Google Scholar

[13] D. Peirce, R. I. Asaro, and A. Needleman, "Material rate dependence and localized deformation in crystalline solids," Acta Metallurgica, vol. 31, no. 12, p.1951–1976, 1983;.

DOI: 10.1016/0001-6160(83)90014-7

Google Scholar

[14] S. Das, A. Tarleton, and E. Tarleton, "Consistent determination of geometrically necessary dislocation density from simulations and experiments," International Journal of Plasticity, vol. 109, p.18–42, 2018;.

DOI: 10.1016/j.ijplas.2018.05.001

Google Scholar

[15] Z.C. Cordero, B.E. Knight, and C.A. Schuh, "Six decades of the Hall–Petch effect – a survey of grain-size strengthening studies on pure metals," International Materials Reviews, vol. 61, pp.495-512, 2016;.

DOI: 10.1080/09506608.2016.1191808

Google Scholar