期刊
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
卷 152, 期 1-3, 页码 45-52出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2007.10.009
关键词
anisotropic finite elasticity; nonisothermal; nonequilibrium thermodynamics
类别
A closed set of Eulerian evolution equations for nonisothermal finite isotropic and anisotropic elastic behavior is derived using nonequilibrium thermodynamics. In particular, it is shown that to describe the state of elastic deformation, the deformation gradient F is preferred as internal variable to the more well-known left and right Cauchy-Green strain tensors. With the energy and entropy functions being frame invariant, the stress tensor expression as obtained in terms of F satisfies the principle of material frame indifference. As an alternative to the F-formulation, it is also shown how elasticity can be described in terms of the mass density and the isochoric deformation gradient, (F) over tilde = F/(3)root det F, instead. (C) 2007 Elsevier B.V. All rights reserved.
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