Thermodynamic consistency of third grade finite strain elasticity

Details Thermodynamic consistency of third grade finite strain elasticity Thermodynamic consistency of third grade finite strain elasticity

2010-02-15

arxiv.org/abs/1002.2965v1

Proceedings of the Estonian Academy of Sciences, 2008, 57\ 3, 132-141 (open access)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 1 figure

Scientific paper

10.3176/proc.2008.3.03

Thermodynamic framework of finite strain viscoelasticity with second order weak nonlocality in the deformation gradient is investigated. The application of Liu procedure leads to a class of third grade elastic materials where the second gradient of the stress appears in the elastic constitutive relation. Finally the dispersion relation of longitudinal plane waves is calculated in isotropic materials.

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