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Thermoelasticity of non-simple oriented materials

Abstract : Non-simple elastic materials are materials in which the internal energy depends not only on the first but also on higher deformation gradients [1-4]. Particles of oriented materials have more than three degrees of freedom, which is equivalent to the introduction in the theory of continuous media of fields of directors [3, 5, 6] or multipolar displacements [6-8]. In the present paper, equations are derived of thermoelasticity of oriented non-simple hyper-elastic materials. The notion of a non-simple material is generalized to thermal problems, making the specific free energy depend not only on the temperature and the deformation gradients but also on the temperature gradients. The notion of oriented material is generalized to thermal problems by introducing, independently of the additional degrees of freedom, additional fields describing the temperature distribution.
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Submitted on : Monday, February 10, 2014 - 3:33:54 PM
Last modification on : Monday, June 8, 2020 - 10:54:02 AM
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  • HAL Id : hal-00944400, version 1


Czeslaw Wozniak. Thermoelasticity of non-simple oriented materials. International Journal of Engineering Science, Elsevier, 1967, 5 (8), pp.605-612. ⟨hal-00944400⟩



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