Description of evolving anisotropy at large strains

Mechanics of Materials

Volumn 39, Issue 3, 2007, Pages 267-282

  Harrysson, Magnus ^a   Ristinmaa, Matti ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

Anisotropy; Large strains; Plasticity; Texture evolution

Indexed keywords

CONTINUUM MECHANICS; PLASTICITY; STRAIN; STRESS ANALYSIS; TEXTURES; THERMODYNAMICS;

MATERIAL SYMMETRY; SUBSTRUCTURES; TANGENT MAPS; TEXTURE EVOLUTION;

ANISOTROPY;

EID: 33845965321     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2006.05.005     Document Type: Article

References (34)

1. Arravas N. Finite elastoplastic transformation of transversely isotropic metals. International Journal of Solids and Structures 29 (1992) 2137-2157
2. Arravas N. Finite-strain anisotropic plasticity and the plastic spin. Modelling and Simulation in Materials Science 2 (1994) 483-504
3. Boehler J. Applications of tensor functions in solid mechanics. International Center for Mechanical Sciences vol. 292 (1987), Springer-Verlag, Udine
4. p in plasticity. Journal of Applied Mechanics 47 (1980) 672-675
5. Dafalias Y. The plastic spin. Journal of Applied Mechanics 73 (1985) 865-871
6. Dafalias Y. Issues on the constitutive formulation at large elastoplastic deformations, part 1. Acta Mechanica 69 (1987) 119-138
7. Dafalias Y. The plastic spin in viscoplasticity. International Journal of Solid Structures 26 (1990) 149-163
8. Dafalias Y. Plastic spin: necessity or redundancy?. International Journal of Plasticity 14 (1998) 909-931
9. Dafalias Y. Orientational evolution of plastic orthotropy in sheet metals. Journal of the Mechanics and Physics of Solids 48 (2000) 2231-2255
10. Derrieulat M., Fortunier R., and Montheillet F. Invariant formulation of anisotropic plastic behaviour in the case of cubic symmetry. International Journal of Plasticity 8 (1992) 763-771
11. Heltzberg R. Deformation and Fracture Mechanics of Engineering Materials (1976), John Wiley & Sons, New York
12. Hill R. The Mathematical Theory of Plasticity (1950), Oxford University Press
13. Hill R. Aspects of invariance in solid mechanics. Advances in Applied Mechanics 18 (1978) 1-75
14. Imatani S., and Maugin G. A constitutive model for material growth and its applications to three-dimensional finite element analysis. Mechanics Research Communications 29 (2002) 477-483
15. Johansson G., Menzel A., and Runesson K. Modeling of anisotropic inelasticity in pearlitic steel at large strains due to deformation induced substructure evolution. European Journal of Mechanics A/Solids 24 (2005) 899-918
16. Kim K., and Yin J. Evolution of anisotropy under plane stress. Journal of the Mechanics and Physics of Solids 45 (1997) 841-851
17. Kröner E. Allgemeine kontinuumstheorie der versetzungen. Archive for Rational Mechanics and Analysis (1960) 273-334
18. Kuroda M. Interpretation of the behavior of metals under large plastic shear deformations: a macroscopic approach. International Journal of Plasticity 13 (1997) 359-383
19. Lee E. Thermo-elastic-plastic analysis at finite strain. In: Boley B. (Ed). Thermoinelasticity. International Union of Theoretical and Applied Mechanics (1968), Springer 157-169
20. Lee E. Elastic-plastic deformations at finite strains. Journal of Applied Mechanics 36 (1969) 1-6
21. Lubliner J. Normality rules in large plastic deformations. Mechanics of Materials 5 (1986) 29-34
22. Mandel J. Plasticité classique et viscoplasticité. International Center for Mechanical Sciences vol. 97 (1971), Springer-Verlag, Udine
23. Menzel A., and Steinmann P. On the spatial formulation of anisotropic multiplicative elasto-plasticity. Computer Methods in Applied Mechanics and Engineering 192 (2003) 3431-3470
24. Reese S. Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation. International Journal of Solids and Structures 40 (2003) 951-980
25. 2-flow theory exibiting a corner-like effect and suitable for large-scale computation. Computer Methods in Applied Mechanics and Engineering 62 (1987) 169-194
26. Spencer A. Continuum theory of the mechanics of fiber-reinforced composites. International Center for Mechanical Sciences vol. 282 (1984), Springer-Verlag, Udine
27. Truesdell C., and Noll W. In: Flugge S.S. (Ed). The Non-linear Field Theories of Mechanics (1965), Springer-Verlag, Handbuch der Physik
28. Tsakmakis C. Description of plastic anisotropy effects at large deformation-part I: Restrictions imposed by the second law and the postulate of Il'iushin. International Journal of Plasticity 20 (2004) 167-198
29. van der Giessen E. Continum model of large deformation plasticity part I: large deformation plasticity and the concept of a natural reference state. European Journal of Mechanics A/Solids 8 (1989) 15-34
30. van der Giessen E. Continum model of large deformation plasticity part II: a kinematic hardening model and the concept of a plastically induced orientational structure. European Journal of Mechanics A/Solids 8 (1989) 89-108
31. van der Giessen E. Micromechanical and thermodynamic aspects of the plastic spin. International Journal of Plasticity 7 (1991) 365-386
32. Wallin M., Ristinmaa M., and Ottosen N. Kinematic hardening in large strain plasticity. European Journal of Mechanics A/Solids 22 (2003) 341-356
33. Wallin M., Ristinmaa M., and Ottosen N. The influence of non-dissipative quantity in kinematic hardening plasticity. Journal of Mechanical Engineering Science 218 (2004) 615-622
34. Williams R. The stored energy of copper deformed at 24 °C. Acta Metallurgica 13 (1965) 163-168