Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials

• Autorzy: Düll W.-P. , Hilder B. , Schneider G.

Identyfikatory

DOI

10.1515/jaa-2018-0007

• Języki publikacji: EN

Abstrakty

EN

In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the coincidence of the material properties predicted by the limit with the effective material properties provided by the analytical homogenization theory in two situations, namely for a one-dimensional linear elasticity model and a simple one-dimensional plasticity model.

Słowa kluczowe

EN

linear elasticity; composite materials; numerical homogenization; error analysis

PL

sprężystość liniowa; materiały kompozytowe; homogenizacja numeryczna; analiza błędu

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2018
• Tom: Vol. 24, nr 1
• Strony: 71--80
• Opis fizyczny: Bibliogr. 5 poz., il.

Twórcy

autor

Düll W.-P.

• Institute of Analysis, Dynamics and Modeling, Pfaffenwaldring 57, 70569 Stuttgart, Germany

autor

Hilder B.

• Institute of Analysis, Dynamics and Modeling, Pfaffenwaldring 57, 70569 Stuttgart, Germany

autor

Schneider G.

• Institute of Analysis, Dynamics and Modeling, Pfaffenwaldring 57, 70569 Stuttgart, Germany

Bibliografia

• [1] P. G. Ciarlet, Mathematical elasticity. Vol. I. Three-Dimensional Elasticity, Stud. Math. Appl. 20, North-Holland, Amsterdam, 1994.
• [2] D. Cioranescu and P. Donato, An Introduction to Homogenization, Oxford University Press, Oxford, 1999.
• [3] M. Dong and S. Schmauder, Modeling of metal matrix composites by a self-consistent embedded cell model, Acta Mater. 44 (1996), 2465–2478.
• [4] V. Salit and D. Gross, On the convergence of the iterative self-consistent embedded cell model, Comput. Mater. Sci. 81 (2014), 199–204.
• [5] S. Schmauder and L. Mishnaevsky, Micromechanics and Nanosimulation of Metals and Composites: Advanced Methods and Theoretical Concepts, Springer, Berlin, 2009.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).