期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 47, 期 25-26, 页码 3367-3376出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2010.07.009
关键词
Gradient theory; Micromorphic theory; Gradient plasticity; Hyperbolic heat equation; Cattaneo equation
类别
资金
- EC [RTN-DEFINO HPRN-CT-2002-00198]
- US Government through NSF/NIRT [DMI-0532320]
- Greek Government
This work elaborates upon two robust models of gradient elasticity and gradient plasticity, and one gradient model of heat transfer, as originally advocated by the second author in the 1980's. The objective is, after recalling the links between these models and existing generalized continuum theories as developed in the 1960's and subsequently, to apply the same methodology to the case of diffusion with a view to establishing generalized transport equations. Aifantis double diffusivity and conductivity theory that provides generalized mass or heat transfer equations is compared to micromorphic-type hyper-temperature and micro-entropy proposals. The double temperature and the micromorphic thermal models are shown to lead to equations more general that Cattaneo's. The sign of the coefficient of the second time-derivative of temperature is found to differ according to both approaches. The double temperature model contains a fourth space derivative term not present in the micromorphic models. Such generalized equations can be useful, for example, in the interpretation of recent femtosecond laser experiments on metals. (C) 2010 Elsevier Ltd. All rights reserved.
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