On the use of evolving structure tensors to model initial and induced elastic and inelastic anisotropy at finite deformation

Journal De Physique. IV : JP

Volumn 105, Issue , 2003, Pages 31-38

  Reese, S ^a   Svendsen, B ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION; ELASTICITY; HARDENING; KINEMATICS; MATHEMATICAL MODELS; PLASTIC DEFORMATION;

ELASTIC ANISOTROPY; FINITE DEFORMATION; INELASTIC ANISOTROPY; STRUCTURE TENSORS;

ANISOTROPY;

EID: 0038025583     PISSN: 11554339     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Boehler J. A., A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy, ZAMM 59 (1979) 157-167.
2. Liu I.-S., On representations of anisotropic invariants, Int. J. Engrg. Sci. 20 (1982) 1099-1109.
3. Zhang J. M. & Rychlewski J., Structural tensors for anisotropic solids, Arch. Mech. 42 (1990) 267-277.
4. Svendsen B., On the representation of constitutive relations using structure tensors, Int. J. Engrg. Sci. 12 (1994) 1889-1892.
5. Dafalias Y., Plastic spin: necessity or redundancy? J. Appl. Mech. 52 (1998) 865-871.
6. Svendsen B., A thermodynamic formulation of finite-deformation elastoplasticity with hardening based on the concept of material isomorphism, Int. J. Plasticity 14 (1998) 473-488.
7. Svendsen B., On the modeling of anisotropic elastic and inelastic material behaviour at large deformation, Int. J. Solids Structures 38 (2001) 9579-9599.
8. Lemaitre J. & Chaboche J.-L., Mechanics of solid materials (Cambridge University Press, 1990).
9. Han W. & Reddy, B. D., Plasticity: Mathematical Theory and Numerical Analysis (Springer-Verlag New York, 1999).
10. Svendsen B. & Reese S., On the modeling of internal variables as structure tensors in anisotropic, finite-deformation inelasticity, submitted to Int. J. Plasticity, 2002.
11. Reese S., Raible T. & Wriggers P., Finite element modelling of orthotropic material behaviour in pneumatic membranes, Int. J. Solids Structures 38 (2001) 9525-9544.
12. Reese S., Meso-macro modelling of fibre-reinforced composites exhibiting large elastoplastic deformations, in press, Int. J. Solids Structures (2002).