Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 51, Issue 4, 1998, Pages

  Forte, Sandra ^a   Vianello, Maurizio ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; INVARIANCE; MATHEMATICAL OPERATORS; ROTATION; SET THEORY; TENSORS;

ISOTROPY;

ELASTICITY;

EID: 0032205194     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/51.4.543     Document Type: Article

References (14)

1. J. P. BOEHLER, A. A. KIRILLOV and E. T. ONAT, J. Elast. 34 (1994) 97-110.
2. H. XIAO, ibid. 46 (1997) 115-149.
3. T. C. T. TING, Q. Jl Mech. appl. Math. 40 (1987) 431-448.
4. J. A. SCHOUTEN, Der Ricci-Kalkül (Springer, Berlin 1924).
5. _, Tensor Analysis for Physicists (Oxford University Press, London 1951).
6. G. BACKUS, Rev. Geophys. Space Phys. 8 (1970) 633-671.
7. R. BAERHEIM, Q. Jl Mech. appl. Math. 46 (1993) 391-419.
8. S. FORTE and M. VIANELLO, J. Elast. 43 (1986) 81-108.
9. M. GOLUBITSKY, I. STEWART and D. G. SCHAEFFER, Singularities and Groups in Bifurcation Theory, Vol. 2 (Springer, New York 1985).
10. R. L. BISHOP and S. I. GOLDBERG, Tensor Analysis on Manifolds (Dover, New York 1980).
11. M. E. GURTIN, in Handbüch der Physik, Vol. VI a/2, Mechanics of Solids II (ed. C. Truesdell; Springer, Berlin 1972) 1-295.
12. Q.-S. ZHENG and A. J. M. SPENCER, Internat. J. Engrg Sci. 31 (1993) 617-635.
13. H. WEYL, The Classical Groups, Their Invariants and Representations (University Press, Princeton 1946).
14. A. S. WINEMAN and A. C. PIPKIN, Arch. rational Mech. Anal. 17 (1964) 184-214.