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1181673534铜虫 (小有名气)
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Reviewers' comments: Reviewer #2: In the present paper, a constitutive model for single crystal with thermal effects is presented. Furthermore, thermo-elastic-viscoplastic responses of a single crystal are illustrated through a parametric analysis strategy. However, the reviewer could not find the originality of the present work. The key idea in the modeling, i.e. the multiplicative decomposition of the deformation gradient into three parts, was presented by Ganapathysubramanian and Zabaras (2002). The viscoplastic law employed is a very conventional Pan-Rice type relation. The slip hardening model is the one proposed by Mathur and Dawson (1989). The temperature dependent model for elastic constants has been taken from Balasubramanian and Anand (2002). Thus, it can be said that the authors have merely carried out parametric analyses using the existing models, and shown only the results without any sufficient physical interpretation. Regrettably, the reviewer cannot recommend its publication in the leading journal in our field. Reviewer #3: 1. Language: Grammatical and spelling errors pervade this manuscript. For example, just in the first paragraph, one may find the following errors (some obvious and others not obvious): a. line 1: has been -> has b. line 3: advantages -> advantageous c. line 3: highly quality -> high quality d. line 5: effects -> affects e. line 5: is changing -> changes f. lines 7, 8: The sentence "Most metal ..." makes little sense. It is not obvious what was meant to be conveyed. The sentence beginning in the second last line of p. 1, "There are two ...", is not understandable. The language of the paper becomes disconcertingly colloquial occasionally. E.g., "over wild range of strain-rates" in p. 2, second last paragraph. The title of Sec. 4 is inappropriate. 2. Equations: a. Eqs. 3, 7 appears to be missing dots on Fs. b. Eq. 11: The resolved shear stress, tau(alpha) is a scalar. Therefore, following customary notation, it should not be denoted by bold symbols. c. Just above Eq. 21 it is stated the Newton-Raphson scheme is used to ensure stability. What kind of instability is being guarded against and how does NR ensure stability? 2. Importance of F^theta: As stated in the abstract, the main innovative feature of this manuscript is the accounting for the thermal expansion through F^theta in Eq. 2. The incorporation of temperature dependence of tau^hat(theta) follows the work of Mathur and Dawson, and is, as such, not a novelty of the present work. It is therefore natural to ask: Does accounting for the thermal expansion through F^theta have a significant effect on the predictions of the present model? Or would the results be much the same regardless of whether or not the small thermal strains are accounted for? This question is not even considered in the manuscript. 3. Lattice rotation: There will be significant lattice rotation in the grains during deformations of the order considered here. This seems to have been completely missed. 4. Validation: There is no validation of the present model against experimental observations. 5. Time step: The acceptable time step to use in a particular situation must depend on the heating/cooling rate. The present manuscript however suggests that a constant time step of about 0.02 is appropriate always. Reviewers' comments: Reviewer #1: I understand, to some extent, the authors' point that relates to the change of the title. An improved integration procedure has been more featured and put on the central of the paper. However, from a viewpoint of constitutive modeling, the improvements are regrettably said to be minor. Considering the current scientific position of IJP, I cannot change the decision on the first submission. I would recommended its publication if the resubmit version had come up with more interesting numerical examples that demonstrate efficiency of the proposed integration algorithm, which involved realistic nonlinear and multi-axes strain paths. Reviewer #2: It was pointed out in the original review that eqs 3 and 7 have missing dots. The authors have replied that they are correct as they stand. Let us look at only the first equality in eq. 3 to argue to the contrary. According to the text, L = F F^{-1}. L is the velocity gradient, as stated above eq. 3. And F is the total deformation gradient, as stated above eq. 1. If there are no dots in L = F F^{-1}, this equation is dimensionally incorrect; the left side involves [time^{-1}], the right side does not. The same problem pervades several equations following eq. 3. If these equations have been used in the simulations the simulations are erroneous. In the original review, under the title "Importance of F^theta", this reviewer questioned whether the incorporation of thermal expansion in the overall deformation gradient actually affects the results of the large deformation simulations presented. This question has not been answered by the authors in their response. The question asked by the present reviewer #3 is similar to that raised by reviewer #2. In response to reviewer #2, the authors state that the resolved shear stress is different from the case where the thermal stresses are absent. But, this reviewer had asked, "by how much". It is anticipated by this reviewer that the answer will be "by not very much". If so, in practical terms, the present paper is negligibly different from the works of Zabaras and Dawson cited. The authors claim that lattice rotations are obtained by polar decomposition of the elastic deformation gradient, eq. 29. This is totally erroneous. Please consult textbooks such as Kocks, Tome and Wenk or Asaro and Lubarda. Apart from lack of much novelty in this manuscript, it appears that certain elements of the formulation are erroneous. For the latter reason, especially, this reviewer strongly recommends that this manuscript not be published. |
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1181673534
铜虫 (小有名气)
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Referees' comments: Reviewer #1: This paper applies the isogeometric approach to free vibration analysis of laminated composite beams. I could not recommend its publication in IJMS due to the following concerns: 1) The novelty of the work is not clearly indicated. In particular, no references on geometric analysis of laminated composite structures have been cited, while there are actually many in literature. 2) The derivation in Section 2 is routine, and can be found in many textbooks. Accordingly, there is no need to have two related sentences in the short Abstract. 3) Besides the comparison with existing solutions, some other numerical examples should be designed to show the superiority of the method that other methods can not do or do well. 4) The English of the paper should be greatly improved. For example, in Abstract, line 4, 'which considering' should be 'which considers'; line 11, 'approach show' should be 'approach shows', etc. |
2楼2015-11-15 13:47:16
