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Thermodynamics with Internal State Variables
Abstract
This is a study of the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations. After employing a method developed by Coleman and Noll to find the general restrictions which the Clausius—Duhem inequality places on response functions, we analyze various types of dynamical stability that can be exhibited by solutions of the internal evolution equations. We also discuss integral dissipation inequalities, conditions under which temperatures can be associated with internal states, and the forms taken by response functions when the material is a fluid.
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Citations
Cited by
Simo, J. C. (1987) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(87)90107-1 · Cited by 1,063
Ju, J. W. (1989) · International Journal of Solids and Structures · doi:10.1016/0020-7683(89)90015-2 · Cited by 915
A continuum damage mechanics framework for modeling micro-damage healing
Darabi, M. K., Abu Al-Rub, R. K., & Little, D. N. (2012) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2011.10.017 · Cited by 222
Continuum damage–healing mechanics with application to self-healing composites
Barbero, E. J., Greco, F., & Lonetti, P. (2005) · International Journal of Damage Mechanics · doi:10.1177/1056789505045928 · Cited by 187
Maurel-Pantel, A., Baquet, E., Bikard, J., Bouvard, J. L., & Billon, N. (2015) · International Journal of Plasticity · doi:10.1016/j.ijplas.2014.10.004 · Cited by 130
Metadata
- Authors
- Coleman, B. D., & Gurtin, M. E.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1967-07-15
- Volume
- 47
- Issue
- 2
- Pages
- 597-613
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2058205997
- Cited by
- 1,802
- References
- 0
- FWCI
- 14.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Coleman, B. D., & Gurtin, M. E. (1967). Thermodynamics with Internal State Variables. The Journal of Chemical Physics. https://doi.org/10.1063/1.1711937
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
