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      On the asymptotic expansion treatment of two-scale finite thermoelasticity

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      Author(s)
      Temizer, I.
      Date
      2012-04
      Source Title
      International Journal of Engineering Science
      Print ISSN
      0020-7225
      Publisher
      Elsevier
      Volume
      53
      Pages
      74 - 84
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      The asymptotic expansion treatment of the homogenization problem for nonlinear purely mechanical or thermal problems exists, together with the treatment of the coupled problem in the linearized setting. In this contribution, an asymptotic expansion approach to homogenization in finite thermoelasticity is presented. The treatment naturally enforces a separation of scales, thereby inducing a first-order homogenization framework that is suitable for computational implementation. Within this framework two microscopically uncoupled cell problems, where a purely mechanical one is followed by a purely thermal one, are obtained. The results are in agreement with a recently proposed approach based on the explicit enforcement of the macroscopic temperature, thereby ensuring thermodynamic consistency across the scales. Numerical investigations additionally demonstrate the computational efficiency of the two-phase homogenization framework in characterizing deformation-induced thermal anisotropy as well as its theoretical advantages in avoiding spurious size effects. (C) 2012 Elsevier Ltd. All rights reserved.
      Keywords
      Finite Thermoelasticity
      Multiscale
      Homogenization
      Asymptotic Expansion
      Permalink
      http://hdl.handle.net/11693/11898
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.ijengsci.2012.01.003
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