Non-linear elastic bodies exhibiting limiting small strain

Mathematics and Mechanics of Solids

Volumn 16, Issue 1, 2011, Pages 122-139

  Rajagopal, K R ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

Cauchy elasticity; Green elasticity; linearized strain

Indexed keywords

CAUCHY ELASTICITY; CLASSICAL THEORY; ELASTIC RESPONSE; GREEN ELASTICITY; LIMITING VALUES; LINEARIZED STRAIN; NON-LINEAR; NONLINEAR STRAIN; SMALL STRAINS;

CONSTITUTIVE MODELS; LINEARIZATION;

ELASTICITY;

EID: 78650320017     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286509357272     Document Type: Article

References (11)

1. Rajagopal, K.R. Elasticity of Elasticity, ZAMP, 58, 309-317 (2007).
2. Truesdell, C. and Noll, W. The Non-Linear Field Theories of Mechanics, Antman, S. S. (ed.), Springer, Berlin, 2004.
3. Rajagopal, K.R. On implicit constitutive theories. Appl. Math., 28, 279-319 (2003).
4. Rajagopal, K.R. and Srinivasa, A.R. On the response of non-dissipative solids. Proc. R. Soc. A, 463, 357-367 (2007).
5. Rajagopal, K.R. and Srinivasa, A.R. On a class of non-dissipative materials that are not hyperelastic. Proc. R. Soc. A, 465, 493-500 (2009).
6. Bustamante, R. and Rajagopal, K.R. A note on plane strain and plane stress problems for a new class of elastic bodies. Math. Mech. Solids (2009). in press.
7. Bustamante, R. Some topics on a new class of elastic bodies. Proc. R. Soc. A, 465, 1377-1392 (2009).
8. Horgan, C.O. and Saccomandi, G. Phenomenological hyperelastic strain-stiffening constitutive models for rubber. Rubber Chem. Technol., 71, 152-169 (2006). (Pubitemid 44972154)
9. Ogden, R.W., Saccomandi, G. and Sgura, I. On worm-like chain models within three dimensional continuum mechanics framework. Proc. R. Soc. A, 462, 749-768 (2006). (Pubitemid 44922122)
10. Rajagopal, K.R. and Saccomandi, G. The mechanics and mathematics of the effect of pressure on the shear modulus of elastomers, Proceedings of the Royal Society, London, 465, 3859-3874 (2009).
11. Spencer, A.J.M. Theory of Invariants in Continuum Physics, Vol. 2, Eringen, A. C. (ed.), Academic Press, New York, 1975.