Abstract
Mechanical stress–strain curves are estimated by means of numerical simulation in order to analyze and compare the mechanical properties of a real strontium-modified Al–Si alloy with virtually designed materials. The virtual materials are generated by a competitive stochastic growth model of the 3D coral-like morphology of the eutectic Si in Al–Si alloys. The experimental data for the real material were acquired using FEB/SEM tomography. The numerical simulations are based on finite element methods. The effects of coarsening the mesh size and using different degrees of the finite elements are discussed. The simulations show that there is high conformity between the mechanical properties of the real and virtual materials. Experiments are also performed to show that the mechanical behavior of the realizations of the stochastic model is sensitive to changes in the parameters that control the morphological characteristics of the Si component.
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References
Braess D.: Finite Elemente. Springer, Berlin (2003)
Closset B., Gruzleski J.: Structure and properties of hypoeutectic Al–Si–Mg alloys modified with pure strontium. Metall. Trans. A 13, 945–951 (1982)
COMSOL multiphysics user’s guide. COMSOL—version 4.1 (2010)
Gaiselmann G., Neumann M., Holzer L., Hocker T., Prestat M., Schmidt V.: Stochastic 3D modeling of LSC cathodes based on structural segmentation of FIB-SEM images. Comput. Mater. Sci. 67, 48–62 (2013)
Gaiselmann G., Stenzel O., Kruglova A., Muecklich F., Schmidt V.: Competitive stochastic growth model for the 3D morphology of eutectic Si in Al–Si alloys. Comput. Mater. Sci. 69, 289–298 (2013)
Gaiselmann G., Thiedmann R., Manke I., Lehnert W., Schmidt V.: Stochastic 3D modeling of fiber-based materials. Comput. Mater. Sci. 59, 75–86 (2012)
Giannuzzi L., Stevie F.: Introduction to Focused Ion Beams. Springer, New York (2005)
Gruzleski J., Closset B.: The Treatment of Liquid Aluminum–Silicon Alloys. American Foundrymen’s Society, Schaumburg (1990)
Haque M.: Effects of strontium on the structure and properties of aluminium–silicon alloys. J. Mater. Proc. Technol. 55, 193–198 (1995)
Hegde S., Prabhu K.: Modification of eutectic silicon in Al–Si alloys. J. Mater. Sci. 43, 3009–3027 (2008)
Hill R.: The Mathematical Theory of Plasticity. Oxford University Press, Oxford (1998)
Meister A.: Numerik linearer Gleichungssysteme. Vieweg, Wiesbaden (2007)
Roland M., Kruglova A., Harste N., Mücklich F., Diebels S.: Numerical simulation of Al–Si alloys with and without a directional solidification. Image Anal. Stereol. 33, 29–37 (2014)
Saad Y.: A flexible inner–outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 14, 461–469 (1993)
Saad Y., Schultz M.: GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856–869 (1986)
Schenk O., Gärtner K.: Solving unsymmetric sparse systems of linear equations with PARDISO. J. Future Gener. Comput. Syst. 20(3), 475–487 (2004)
Schenk O., Gärtner K.: On fast factorization pivoting methods for symmetric indefinite systems. Electron. Trans. Numer. Anal. 23, 158–179 (2006)
Shin S.S., Kim E.S., Yeom G.Y., Lee J.C.: Modification effect of Sr on the microstructures and mechanical properties of Al–10.5Si–2.0Cu recycled alloy for die casting. Mater. Sci. Eng. A 532, 151–157 (2012)
Stenzel O., Hassfeld H., Thiedmann R., Koster L., Oosterhoot S., Bavel S.van , Wienk M., Loos J., Janssen R., Schmidt V.: Spatial modelling of the 3D morphology of hybrid polymer-ZnO solar cells, based on electron tomography data. Ann. Appl. Stat. 5, 1920–1947 (2011)
Stenzel O., Koster L., Oosterhout S., Janssen R., Schmidt V.: A new approach to model-based simulation of disordered polymer blend solar cells. Adv. Funct. Mater. 22, 1236–1244 (2012)
Thiedmann R., Stenzel O., Spettl A., Shearing P., Harris S., Brandon N., Schmidt V.: Stochastic simulation model for the 3D morphology of composite materials in Li-ion batteries. Comput. Mater. Sci. 50, 3365–3376 (2011)
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Roland, M., Kruglova, A., Gaiselmann, G. et al. Numerical simulation and comparison of a real Al–Si alloy with virtually generated alloys. Arch Appl Mech 85, 1161–1171 (2015). https://doi.org/10.1007/s00419-014-0956-5
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DOI: https://doi.org/10.1007/s00419-014-0956-5