On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers-Reference-Cited by-同舟云学术

On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers

Published:2009-12-18 Issue:1 Volume:68 Page:15-26
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Bustamante R.,Merodio J.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10665-009-9358-z.pdf

Reference29 articles.

1. Merodio J, Ogden RW (2005) Mechanical response of fiber-reinforced incompressible nonliearly elastic solids. Int J Non-linear Mech 40: 213–227

2. Dorfmann A, Ogden RW (2004) Nonlinear magnetoelastic deformations. Q J Mech Appl Math 57: 599–622

3. Truesdell C (1965) The main open problem in the finite theory of elasticity. In: Truesdell C (eds) Continuum mechanics III: founda- tions of elasticity theory. Gordon and Breach Science Publishers Inc., New York

4. Hayes M (1969) Static implications of the strong-ellipticity condition. Arch Ration Mech Anal 33: 181–191

5. Ball JM (1977) Convexity conditions and existence theorems in nonlinear elasticity. Arch Ration Mech Anal 63: 337–403

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