Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains

Computational Materials Science

Volumn 16, Issue 1-4, 1999, Pages 372-382

  Miehe, Christian ^a   Schotte, Jan ^a   Schröder, Jörg ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000516443     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0927-0256(99)00080-4     Document Type: Article

References (20)

1. J. Aboudi, Mechanics of Composite Materials - A Unified Micromechanical Approach, Elsevier, Amsterdam, 1991.
2. C.A. Bronkhorst, S.R. Kalidindi, L. Anand, Polycrystalline plasticity and the evolution of crystallographic texture in fee metals, Philos. Trans. Roy. Soc. London, Series A 341 (1992) 443-447.
3. B. Budianski, On the elastic moduli of some heterogeneous materials, Studies in Mathematics and its Applications, J. Mech. Phys. Solids 13 (1965) 223-227.
4. T.W. Clyne, P.J. Withers, An Introduction to Metal-Matrix Composites, Cambridge Solid State Science Series, Cambridge University Press, Cambridge, 1993.
5. J.D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. London, Ser. A 241 (1957) 376-396.
6. Z. Hashin, Analysis of composite materials - a survey, J. Appl. Mech. 50 (1983) 481-505.
7. R. Hill, A self-consistent mechanics of composite materials, J. Mech. Phys. Solids 13 (1965) 213-222.
8. R. Hill, On constitutive macro-variables for heterogeneous solids at finite strain, Proc. Roy. Soc. London, Ser. A, 326 (1972) 131-147.
9. U.F. Kocks, The relation between polycrystal deformation and single crystal deformation, Metall. Trans. 1 (1970) 1121-1143.
10. E. Kröner, Elastic moduli of perfect disordered composite materials, J. Mech. Phys. Solids 15 (1967) 319-340.
11. S. Nemat-Nasser, M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland Series in Applied Mathematics and Mechanics, vol. 37, North-Holland, Amsterdam, 1993.
12. C. Miehe, On the representation of Prandtl-Reuss tensors within the frame-work of multiplicative elasto-plasticity, Internat. J. Plasticity 10 (1994) 609-621.
13. C. Miehe, Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity, Comput. Meth. Appl. Mech. Engrg. 134 (1996) 223-240.
14. C. Miehe, Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates, Internat. J. Solids Struc. 33 (1996) 1981-2004.
15. C. Miehe, Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals, Internat. J. Numer. Meth. Engrg. 39 (1996) 3367-3390.
16. C. Miehe, J. Schröder, J. Schotte, Computational homogenization analysis in finite plasticity. Simulation of Texture Development in polycrystalline materials, Comput. Meth. Appl. Mech. Engrg. 171 (1999) 387-418.
17. P.M. Suquet, Elements of homogenization for inelastic solid mechanics, in: E. Sanchez-Palenzia, A. Zaoui (Eds.), Homogenization Techniques for Composite Materials, Lecture Notes in Physics, vol. 272, Springer, Berlin, 1987, pp. 193-278.
18. G.I. Taylor, Plastic strain in metals, J. Institute of Metals 62 (1938) 307-324.
19. A. Zaoui, Quasi-physical modelling of the plastic behaviour of polycrystals, in: J. Gittus, J. Zarka (Eds.), Modelling Small Deformations of Polycrystals, Elsevier, Amsterdam, 1986.
20. J.R. Willis, Variational and related methods for the overall properties of composites, in: Advances in Applied zMechanics, vol. 21, Academic Press, New York, 1981, pp. 1-78.