Orientation distribution functions for microstructures of heterogeneous materials. (I) Directional distribution functions and irreducible tensors

Applied Mathematics and Mechanics (English Edition)

Volumn 22, Issue 8, 2001, Pages 865-884

  Zheng, Quan Shui ^a   Zou, Wen Nan ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Heterogeneous material; Irreducible tensor; Microstructure; Orientation distribution function; Tensorial Fourier expansion

Indexed keywords

COMPOSITE MICROMECHANICS; MECHANICAL PROPERTIES; MICROSTRUCTURE;

CRYSTAL ORIENTATION DISTRIBUTION FUNCTIONS; HETEROGENEOUS MATERIALS; IRREDUCIBLE TENSOR; ORIENTATION DISTRIBUTION FUNCTIONS; TENSORIAL FOURIER EXPANSION;

CRYSTAL ORIENTATION;

EID: 0035435243     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016334108898     Document Type: Article

References (35)

1. A scheme of a phenomenological fracture theory
2. Construction of a phenomenological theory of fracture of anisotropic media
3. Representation of mechanical behaviour in the presence of internal damage
4. Representation of mechanical behaviour in the presence of changing internal structure
5. Group theory and representation of microstructure and mechanical behaviour of polycrystals
6. Distribution f directional data and fabric tensors
7. The use of tensors to describe and predict fiber orientation in short fiber composites
8. Closure approximation for three-dimensional structure tensors
9. A self consistent approach of the large deformation polycrystal viscoplasticity
10. Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model
11. A statistical theory of creep in polycrystalline materials
12. Some fundamental issues of damage mechanics
13. A more fundamental approach to damaged elastic stress-strain relations
14. A micromechanical model of texture induced orthotropy in planar crystalline polymers
15. The relationship of damage variables and their evolution laws and microstructural and physical properties
16. Thermodynamics with internal state variables
17. A mathematical theory of the mechanical behaviour of continuous media
18. A new mathematical theory of simple materials
19. Simulation of crack tip superblunting of semi-crystalline polymers
20. Tensors which characterize anisotropies
21. Two-dimensional tensor function representations for all kinds of material symmetry
22. The description, classification, and reality of material and physical symmetries
23. Theory of representations for tensor functions: A unified invariant approach to constitutive equations
24. On the roles of initial and induced anisotropies
25. A note on the decomposition of tensors into traceless symmetric tensors
26. The irreducible components of homogenous functions and symmetric tensors
27. Irreducible decompositions of physical tensors of high orders
28. Orthogonal irreducible decomposition of tensors of high orders