Hyper-elastic constitutive equations of conjugate stresses and strain tensors for the Seth-Hill strain measures

International Journal of Engineering Science

Volumn 42, Issue 1, 2004, Pages 29-41

  Farahani, K ^a   Bahai, H ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; STRESSES;

CONJUGATE STRESSES;

STRAIN MEASUREMENT;

EID: 0141749180     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(03)00241-6     Document Type: Article

References (10)

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3. Hoger A. The stress conjugate to logarithmic strain. Int. J. Solids Struct. 23(12):1987;1645-1656.
4. Gurtin M.E., Spear K. On the relationship between the logarithmic strain rate and the stretching tensor. Int. J. Solids Struct. 19:1983;437-444.
5. Ogden R.W. Nonlinear Elastic Deformations. 1984;Ellis Harwood.
6. Guo Z.-h., Dubey R.N. Basic aspects of Hill's method in solid mechanics. SM Arch. 9:1984;353-380.
7. Hill R. Aspects of invariance in solid mechanics. Adv. Appl. Mech. 18:1978;1-75.
8. Dienes J.K. On the analysis of rotation and stress rate in deforming bodies. Acta Mech. 32:1979;217-232.
9. Hoger A., Carlson D.E. Determination of stretch and rotation in the polar decomposition of deformation gradient. Quart. Appl. Math. 10:1984.
10. Farahani K., Naghdabadi R. Conjugate stresses of the Seth-Hill strain tensors. Int. J. Solids Struct. 37:2000;5247-5255.