A technique to describe the macroscopic pressure dependence of diffusive properties of solid materials containing heterogeneities

Computational Materials Science

Volumn 15, Issue 1, 1999, Pages 69-88

  Zohdi, T I ^a   Hutter, K ^b   Wriggers, P ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b Institut fur Mechanik   (Germany)

Author keywords

Coupled fields; Diffusion; Heterogeneous materials; Regularization

Indexed keywords

EID: 0345770637     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0927-0256(99)00010-5     Document Type: Article

References (24)

1. D.C. Aifantis, New interpretation of diffusion in regions with high diffusivity paths: A continuum approach, Acta Metallurgica 27 (1979) 683-691.
2. W.F. Ames, Numerical Methods for Partial Differential Equations, 2nd ed., Academic Press, New York, 1977.
3. D.S. Chandrasekhariah, Thermoelasticity with second sound: A review, Appl. Mech. Reviews 39 (1986) 355-376.
4. J. Crank, The mathematics of diffusion, 2nd ed., Oxford Science Publications, Oxford, 1975.
5. P. Doig, T. Jones, A model for the initiation of hydrogen embrittlement cracking at notches in gaseous hydrogen environments, Metallurgical Transactions 18A (1977) 1993-1998.
6. W. Dreyer, H. Struchtrup, Heat pulse experiments revisited, Cont. Mech. Thermodyn. 5 (1993) 13-50.
7. W.W. Gerberich, T. Livine, X.F. Chen, M. Kaczorowski, Crack growth from hydrogen-temperature and microstructural effects in 4340 steel, Metallurgical Transactions 19A (1988) 1319-1334.
8. W.W. Gerberich, T.J. Foecke, Hydrogen enhanced decohesion in Fe-Si single crystal: Implications to modeling thresholds in hydrogen effects on material behavior, in: N.R. Moody, A.W. Thompson (Eds), The Minerals, Metals and Materials Society, 1990.
9. W.W. Gerberich, Hydrogen in metals. ASM, Metals Park, OH, 1974, p. 115.
10. P. Haasen, Physical metallurgy, 2nd ed., Cambridge University Press, Cambridge, 1985.
11. R. Hiil, The elastic behaviour of a crystalline aggregate, Proc. Phys. Soc. London A65 (1952) 349-354.
12. R. Hill, Elastic properties of reinforced solids: Some theoretical principles, J. Mech. Phys. Solids. 11 (1963) 357-372.
13. C. Huet, P. Navi, P.E. Roelfstra, A homogenization technique based on Hill's modification theorem, in: Continuum models and discrete systems, 1991.
14. V.V. Jikov, S.M. Kozlov, O.A. Olenik, Homogenization of differential operators and integral functionals, Springer, Berlin, 1994.
15. D.D. Joseph, L. Preziosi, Heat waves, Reviews of Modern Physics 61 (1) 1989.
16. A. Mangeney, F. Califano, K. Hutter, A numerical study of anisotropic, low Reynolds number, free surface flow for ice sheet modeling, Journal of Geophysical Research 102 (10) (1997) 22749-22764.
17. J.C. Maxwell, On the dynamical theory of gases, Philos. Trans. Soc. London 157 (1867) 49.
18. I. Müller, T. Ruggeri, Extended thermodynamics, Springer, Berlin, 1993.
19. J. Stark, Solid state diffusion, Krieger, New York, 1983.
20. D.J. Unger, D.C. Aifantis, On the theory of stress-assisted diffusion, II, Acta Mechanica 47 (1983) 117-151.
21. D.J. Unger, W.W. Gerberich, D.C. Aifantis, Further remarks on the implications of steady-state stress-assisted diffusion on environmental cracking, Scripta Metallurgica 16 (1982) 1059-1064.
22. T.I. Zohdi, E.I. Meletis, On the intergranular hydrogen embrittlement mechanism of Al-Li alloys, Scripta Metallurgica 26 (1992) 1615-1620.
23. T.I. Zohdi, P. Wriggers, On the effects of microstress on macroscopic diffusion processes. Acta Mechanica (in press).
24. T.I. Zohdi, P. Wriggers, A methodology for large scale numerical simulation of the degradation of microheterogeneous solids, Computer Methods in Applied Mechanics and Engineering, submitted.