Micro-mechanical modeling of the inelastic behavior of directionally solidified materials

Mechanics of Materials

Volumn 38, Issue 3, 2006, Pages 203-217

  Sai, K ^a   Cailletaud, G ^b   Forest, S ^b  

^a UNIVERSITY OF SFAX   (Tunisia)

^b CNRS   (France)

Author keywords

Model; Crystal plasticity; Directionally solidified; Inelastic behavior; Single crystal

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; SINGLE CRYSTALS; SOLIDIFICATION;

Β-MODEL; CRYSTAL PLASTICITY; DIRECTIONALLY SOLIDIFIED; INELASTIC BEHAVIOR;

MATERIALS SCIENCE;

EID: 27944438882     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2005.06.007     Document Type: Article

References (16)

1. F. Barbe, S. Forest, and G. Cailletaud Intergranular and intragranular behavior of polycrystalline aggregates. Part II: Results Int. J. Plast. 17 4 2001 537 566
2. J. Besson, R. Leriche, R. Foerch, and G. Cailletaud Object-oriented programming applied to the finite element method. Part II. Application to material behaviors Rev. Eur. Eléments Finis 7 1998 567 588
3. Cailletaud, G., 1987. Une approche micromécanique phénoménologique du comportement inélastique des métaux. Ph.D. thesis, Université Pierre et Marie Curie, Paris 6.
4. G. Cailletaud, S. Forest, D. Jeulin, F. Feyel, I. Galliet, V. Mounoury, and S. Quilici Some elements of microstructural mechanics Comput. Mater. Sci. 27 2003 351 374
5. G. Cailletaud, and P. Pilvin Utilisation de modéles polycristallins pour le calcul par éléments finis Rev. Eur. Eléments Finis 3 1994 515 541
6. J. Eshelby The determination of the elastic field of an ellipsoidal inclusion and related problems Proc. Roy. Soc. London A 241 1957 376 396
7. E. Gilbert Random subdivisions of space into crystals Ann. Math. Stat. 33 1962
8. R. Hill Continuum micro-mechanisms of elastoplastic polycrystals J. Mech. Phys. Solids 13 1965 89 101
9. L. Méric, P. Poubanne, and G. Cailletaud Single crystal modeling for structural calculations. Part 1: Model presentation J. Eng. Mater. Technol. 113 1991 162 170
10. A. Molinari Extensions of the self-consistent tangent model Model. Simul. Mater. Sci. Eng. 7 1999 683 697
11. Mura, T., 1987. Micromechanics of defects in solids. second revised ed.
12. P. Pilvin The contribution of micromechanical approaches to the modelling of inelastic behaviour of polycrystals P. André C. Georges L. Trevor Fourth Int. Conf. on Biaxial/Multiaxial Fatigue and Design ESIS 21 1996 Mechanical Engineering Publications London
13. E. Sanchez-Palencia, and A. Zaoui Homogenization techniques for composite media Lecture Notes in Physics vol. 272 1987 Springer Berlin
14. G.B. Sarma, and P. Dawson Effects of interactions among crystals on the inhomogeneous deformations of polycrystals Acta Mater. 44 1995 1937 1953
15. G. Taylor Plastic strain in metals J. Inst. Metals 62 1938 307 324
16. M. Yaguchi, and E. Busso On the accuracy of self-consistent elasticity formulations for directionally solidified polycrystal aggregates Int. J. Solids Struct. 42 3-4 2005 1073 1089