On anisotropic scalar functions of a single symmetric tensor

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1950, 1996, Pages 1545-1561

  Xiao, H ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040022577     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0082     Document Type: Article

References (15)

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2. Adkins, J. E. 19606 Further symmetry relations for transversely Isotropie materials. Arch. Ration. Mech. Analysis 5, 263-274.
3. Boehler, J. P. 1979 A simple derivation of representations for nonpolynomial constitutive equations in some cases of anisotropoy. Z. Angew. Math. Mech. 59, 157-167.
4. Boehler, J. P. (ed.) 1987 Applications of tensor functions in solid mechanics. CISM Courses and Lectures no. 292. New York: Springer, Wien.
5. Green, A. E. & Adkins, J. E. I960 Large elastic deformations and nonlinear continuum mechanics. Oxford: Clarendon Press.
6. Liu, I. S. 1982 On representations of anisotropic invariants. Int. J. Engng Sei. 20, 1099-1109.
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8. Pipkin, A. C. & Wineman, A. S. 1963 Material symmetry restrictions on nonpolynomial constitutive equation. Arch. Ration. Mech. Analysis 12, 420-426.
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10. Smith, G. F. 1962 Further results on the strain-energy runction for anisotropic elastic materials. Arch. Ration. Mech. Analysis 10, 108-118.
11. Smith, G. F. & Rivlin, R. S. 1958 The strain-energy function for anisotropic elastic materials. Trans. Am. Math. Soc. 88, 175-193.
12. Spencer, A. J. M. 1971 Theory of invariants. In Continuum physics (ed. A. C. Bringen), vol. I. Academic Press: New York.
13. Truesdell, C. & Noll, W. 1965 The nonlinear field theories of mechanics. In Handbuch der Physik, Bd., vol. HI/3. Berlin: Springer.
14. Wineman, A. S. & Pipkin, A. C. 1964 Material symmetry restrictions on constitutive equations. Arch. Ration. Mech. Analysis 17, 184-214.
15. Zheng, Q. S. 1993 Two-dimensional tensor function representations for all kinds of material symmetry. Proc. R. Soc. Land. A 443, 127-138.