Computer Science – Numerical Analysis
Scientific paper
2010-07-21
Appl. Math. 54 (2009) 147-176
Computer Science
Numerical Analysis
23 pages, 6 figures
Scientific paper
10.1007/s10492-009-0010-z
Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments. What is usually lost sight of is the fact that infinity of such three dimensional models may be able to explain these experiments that are lower dimensional. Recently, the notion of maximization of the rate of entropy production has been used to obtain constitutive relations based on the choice of the stored energy and rate of entropy production, etc. In this paper we show different choices for the manner in which the body stores energy and dissipates energy and satisfies the requirement of maximization of the rate of entropy production that leads to many three dimensional models. All of these models, in one dimension, reduce to the model proposed by Burgers to describe the viscoelastic behavior of bodies.
Karra Satish
Rajagopal K. R.
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