Must elastic materials be hyperelastic?

Mathematics and Mechanics of Solids

Volumn 14, Issue 4, 2009, Pages 369-376

  Carroll, M M ^a  

^a Rice University   (United States)

Author keywords

Cauchy elasticity; Finite elasticity; Hyperelasticity; Strain energy

Indexed keywords

CAUCHY ELASTICITY; CLOSED CYCLES; ELASTIC MATERIALS; ELASTIC STRESS; FINITE ELASTICITY; HYPER ELASTICS; HYPERELASTICITY; ISOTROPIC STRESS;

DEFORMATION; STRAIN ENERGY;

ELASTICITY;

EID: 65549137626     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286508099385     Document Type: Article

References (5)

1. Second-order Effects in Elasticity, Plasticity and Fluid Dynamics, ed. M. Reiner, Macmillan, New York, 1964.
2. Truesdell, C. Das ungelöste Hauptproblem der endlichen Elastizitätstheorie", Zeitschrift für Angewandte Mathematik Mechanik (ZAMM) 36, 97-103 (1956). English translation in Foundations of Elasticity Theory, Gordon and Breach, New York, 1965.
3. Baker, M. and Ericksen, J.L. Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids, Journal of the Washington Academy of Science 44, 33-35 (1954). Reprinted in Foundations of Elasticity Theory, Gordon and Breach, New York, 1965.
4. Batra, R. Comparison of results from four linear constitutive relations in isotropic finite elasticity, International Journal of Non-Linear Mechanics 36, 421-432 (2001).
5. Truesdell, C. and Noll, W. The Non-linear Field Theories of Mechanics, Handbuch der Physik III/3, Springer, Berlin, 1965.