The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
Open accessAbstract
This paper is concerned with the continuum formulation of a fully coupled thermomechanical constitutive model for highly deformable bodies with viscous dissipation. The threedimensional material law is applicable to the thermomechanical characterization of elastomeric (high-polymeric) solids in the finite strain domain under varying temperature. The description is based on the concept of internal state variables and rational thermodynamics. The main goal of the presentation is to develop consistent constitutive equations for the stress, entropy and independent internal variables such that the second law of thermodynamics, in the form of the Clausius-Duhem inequality, issatisfied. Motivated by the significant difference in bulk and shear response of elastomers, the model employs a local decomposition of the deformation into a dilatational and an isochoric part. The framework of nonlinear thermoviscoelasticity presented herein is formulated entirely in the reference configuration and provides a sound continuum basis for approximation techniques such as the Finite-Element method.Copyright © 1996 Elsevier Science Ltd.
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Cites
Encyclopedia of polymer science and engineering
Mark, H., & Kroschwitz, J. I. (1985) · Wiley eBooks · Cited by 5,898
Introduction to the mechanics of a continuous medium
Malvern, L. E. (1969) · Medical Entomology and Zoology · Cited by 3,937
Non-linear elastic deformations
Ogden, R. (1984) · Engineering Analysis with Boundary Elements · doi:10.1016/0955-7997(84)90049-3 · Cited by 3,489
The Non-Linear Field Theories of Mechanics
Truesdell, C., & Noll, W. (1965) · Encyclopedia of Physics / Handbuch der Physik · doi:10.1007/978-3-642-46015-9_1 · Cited by 3,365
Truesdell, C., & Toupin, R. (1960) · Encyclopedia of Physics / Handbuch der Physik · doi:10.1007/978-3-642-45943-6_2 · Cited by 3,275
Ogden, R. W. (1972) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1972.0026 · Cited by 2,979
Barnes, H. A., Hutton, J. F., & Walters, K. (1989) · Cited by 2,219
The thermodynamics of elastic materials with heat conduction and viscosity
Coleman, B. D., & Noll, W. (1963) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf01262690 · Cited by 2,030
Thermodynamics with Internal State Variables
Coleman, B. D., & Gurtin, M. E. (1967) · The Journal of Chemical Physics · doi:10.1063/1.1711937 · Cited by 1,802
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity
Coleman, B. D., & Noll, W. (1974) · The Foundations of Mechanics and Thermodynamics · doi:10.1007/978-3-642-65817-4_9 · Cited by 1,470
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Budday, S., Ovaert, T. C., Holzapfel, G. A., Steinmann, P., & Kuhl, E. (2020) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-019-09352-w · Cited by 469
Self-citationMiehe, C. (2000) · Journal of the Mechanics and Physics of Solids · doi:10.1016/s0022-5096(99)00017-4 · Cited by 321
On the large deformation behaviour of reinforced rubber at different temperatures
Lion, A. (1997) · Journal of the Mechanics and Physics of Solids · doi:10.1016/s0022-5096(97)00028-8 · Cited by 297
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Metadata
- Authors
- Holzapfel, G. A., & Simo, J. C.
- Venue
- International Journal of Solids and Structures
- Publisher
- Elsevier BV
- Published
- 1996-08
- Volume
- 33
- Issue
- 20-22
- Pages
- 3019-3034
- ISSN
- 0020-7683 (ISSN-L)
- OpenAlex
- W2039194295
- Cited by
- 276
- References
- 27
- FWCI
- 3.25
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Holzapfel, G. A., & Simo, J. C. (1996). A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. International Journal of Solids and Structures. https://doi.org/10.1016/0020-7683(95)00263-4
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
