Predicting the mechanical behavior of two-phase materials with cellular automata

International Journal of Plasticity

Volumn 12, Issue 4, 1996, Pages 561-574

  Montheillet, F ^a   Gilormini, P ^b  

^a ECOLE DES MINES DE SAINT ETIENNE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; STRAIN; STRESS ANALYSIS; VISCOPLASTICITY;

CELLULAR AUTOMATA; TWO PHASE MATERIALS;

COMPOSITE MATERIALS;

EID: 0029723293     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(96)00020-4     Document Type: Article

References (17)

1. 1957 Eshelby, J. D., "The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems," Proc. Roy. Soc. Lond., A241, 376.
2. 1969 Walpole, L. J., "Overall Elastic Moduli of Composite Materials," J. Mech. Phys. Solids, 4, 235.
3. 1970 Gardner, M., "The Fantastic Combinations of John Conway's New Solitaire Game 'Life'," Scientific American, 223(10), 120.
4. 1974 Boucher, S., "On the Effective Moduli of Isotropic Two Phase Elastic Composites," J. Comp. Mater., 8, 82.
5. 1975 Bilby, B. A., Eshelby, J. D. and Kundu, A. K., "The Change of Shape of a Viscous Ellipsoidal Region Embedded in a Slowly Deforming Matrix Having a Different Viscosity," Tectonophysics, 28, 265.
6. 1978 Kröner, E., "Self Consistent Scheme and Graded Disorder in Polycrystal Elasticity," J. Phys. F: Metal Phys., 8, 2261.
7. 1979 Christensen, R. M. and Lo, K. H., "Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Models," J. Mech. Phys. Solids, 27, 315.
8. 1983 Wolfram, S., "Statistical Mechanics of Cellular Automata," Rev. Mod. Phys., 55, 601.
9. 1984 Toffoli, T., "Cellular Automata as an Alternative to (Rather than an Approximation of) Differential Equations in Modeling Physics," Physica, 10D, 117.
10. 1984 Vichniac, G. Y., "Simulating Physics with Cellular Automata." Physica, 10D, 96.
11. 1986 Gilormini, P. and Montheillet, F., "Deformation of an Inclusion in a Viscous Matrix and Induced Stress Concentrations," J. Mech. Phys. Solids, 34, 97.
12. 1990 Durand, L. and Thomas de Montpreville, Ch., "Etude du Comportement Mécanique des Matériaux Biphasés au Moyen de la Méthode des Éléments Finis," Res Mech., 29, 257.
13. 1991 Dajno, D., "Rhéologie Globale et Structurale des Alliages de Titane TA6V et Betacez dans les Domaines α+β et β," Thèse. Ecole des Mines de Saint-Etienne.
14. 1991 Hesselbarth, H. W. and Göbel, I. R., "Simulation of Recrystallization by Cellular Automata," Acta Metall. Mater., 39, 2135.
15. 1993 Montheillet, F. and Vernusse, Ph., "Modélisation du Comportement Rhéologique d'Alliages à Deux Phases Ductiles," Arch. Metall., 38, 153.
16. 1994 Briottet, L., "Etude Théorique de l'Évolution du Comportement de Matériaux Viscoplastiques Endommagés," Thèse, Ecole des Mines de Saint-Etienne.
17. 1994 Montheillet F. and Gilormini, P., "Prévision du Comportement Mécanique d'un Mélange de Deux Phases Viscoplastiques Linéaires à l'Aide d'un Modèle du Type Automate Cellulaire," C. R. Acad. Sci. Paris II, 319, 483.