Numerical methods for the quantification of the mechanical properties of crystal aggregateswith morphologic and crystallographic texture
Source abstract
Abstract
The influence of an anisotropic distribution of crystal orientations and an anisotropic average grain shape is analysed using finite element simulations. By the numerical approach, which is based on a statistical volume element with periodic microstructure and periodic boundary conditions, the influence of the crystallographic and the morphologic texture can be separated by combining (an)isotropic orientation distributions with (an)isotropic grain morphologies.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Rock Mechanics and Modeling
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References (8)
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1. M. Ostoja-Starzewski. Material spatial randomness: From statistical to representative volume element. Probabilistic Engineering Mechanics, 21:112–132, 2006.10.1016/j.probengmech.2005.07.007 ↗
2. J.W. Hutchinson. Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. R. Soc. Lon., A 348:101–127, 1976.10.1098/rspa.1976.0027 ↗
3. T. B¨ohlke. The Voigt bound of the stress potential of isotropic viscoplastic fcc polycrystals. Archive of Mechanics, 56(6):423–443, 2004.
4. T. Gnäupel-Herold, P. C. Brand, and H. J. Prask. Calculation of single-crystal elastic constants for cubic crystal symmetry from powder diffraction data. J. Appl. Cryst., 31:929–935, 1998.10.1107/S002188989800898X ↗
5. S. Kumar and S.K. Kurtz. Simulation of material microstructure using a 3d Voronoi tesselation: Calculation of effective thermal expansion coefficient of polycrystalline materials. Acta Metallurgica et Materialia, 42(12):3917–3927, 1994.10.1016/0956-7151(94)90170-8 ↗
6. F. Barbe, L. Decker, D. Jeulin, and G. Cailletaud. Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. Model. International Journal of Plasticity, 17:513–536, 2001.10.1016/S0749-6419(00)00061-9 ↗
7. F. Fritzen, T. B¨ohlke, and E. Schnack. Periodic three-dimensional mesh generation for crystalline aggregates based on voronoi tessellations. to appear in Computational Mechanics, 2008. doi: 10.1007/s00466-008-0339-2 .10.1007/s00466-008-0339-2 ↗
8. U.F. Kocks, C.N. Tome, and H.R. Wenk. Texture and in Polycrystals, Anisotropy: Preferred Orientations and Properties, Their Effect on Materials. Cambridge Univ. Pr., 1998.