On the Second Law of Thermodynamics in Continuum Physics

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

1.- The references are very old, there are recent ones but they are from the authors, could you add other recent references that are not your own?

 

 

2.- When the writing ends, 3 figures are presented, of which no comment is made about it nor in the conclusions, if it is said that they represent, but I consider  that should be more arguments about the figures.

Author Response

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Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

Review of the paper "On the second law of thermodynamics in continuum physics"

This paper deals with a formulation of the second law of thermodynamics, which exhibits an extra entropy flux term, besides the classical one, and demonstrates new methods for exploiting this law. It is an excellent paper of actual interest, which includes beautiful examples and hence it deserves publication. There are only minor points, which should be addressed in the paper:

1) A second law of thermodynamics of Müller's type has been exploited, in the manner pursued in the paper, for the first time in Maugin (1990). This should be mentioned in the paper.

2) The energy balance law adopted in the paper is classical. There is, however, another possibility to establish the second law (12), by assuming a modified energy balance law in conjunction with a conventional Clausius-Duhem-inequality (see the work of Dunn and Serrin (1985) and the generalization of it by Alber et al. (2016)). It is of interest to mention this in the submitted paper.

3) In the equation after line 232, ρ should be replaced by θ.

4) In the equation for γ, after line 270, the minus-sign on the right hand side should be replaced by a plus-sign.

5) The statement "stress-free conditions" in line 307 should be explained in more detail.

6) In equation (47) a bracket is missing.

7) In line 396, it is stated that "the curve (λ(t), σ(t)) is run in clockwise sense". This should be explained in more detail.

8) Should E in Section 6.2 not be replaced by λ? In any case, E is not defined.

References:

a) G.A. Maugin, (1990), Internal variables and dissipative structures, J, Non-Equilib. Thermodyn.,15,173-192.

b) J.E. Dunn, J. Serrin, (1985), On the thermodynamics of interstitial working, Arch. Ration. Mech. Anal., 88, 95-133

c) H.-D. Alber, K. Hutter, Ch. Tsakmakis, (2016), Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction, Continuum Mech. Thermodyn., 28, 699-719

Author Response

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Author Response File: Author Response.pdf