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Thermodynamics and thermal decomposition for shape memory effects with crystallization based on dissipation and logarithmic strain

Thermodynamics and thermal decomposition for shape memory effects with crystallization based on... The present effort provides a 3-D thermodynamic framework generalizing the 1-D modeling of 2-way shape memory materials described by Westbrook et al. (J. Eng. Mater. Technol. 312:041010, 2010 ) and Chung et al. (Macromolecules 41:184–192, 2008 ), while extending the strain-induced crystallization and shape memory approaches of Rao and Rajagopal (Interfaces Free Bound. 2:73–94, 2000 ; Int. J. Solids Struct. 38:1149–1167, 2001 ), Barot and Rao (Z. Angew. Math. Phys. 57:652–681, 2006 ), and Barot et al. (Int. J. Eng. Sci. 46:325–351, 2008 ) to include finite thermal expansion within a logarithmic strain basis. The free energy of newly-formed orthotropic crystallites is assumed additive, with no strains in their respective configurations of formation. A multiplicative decomposition is assumed for the assumed thermoelastic orthotropic expansional strains of the respective crystallites. The properties of the crystallites are allowed to depend both on current temperature and their respective temperatures of formation. The entropy production rate relation is written in the frame rotating with the logarithmic spin and produces stress and entropy relations incorporating the integrated configurational free energies, and a driving term for the crystallization analogous to that obtained by the previous studies of Rao et al. The salient attributes of the 1-D modeling of Westbrook et al. are recovered, and applications are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

Thermodynamics and thermal decomposition for shape memory effects with crystallization based on dissipation and logarithmic strain

Hall, R.; Rao, I.; Qi, H.
Mechanics of Time-Dependent Materials , Volume 18 (2) – May 1, 2014
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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media Dordrecht
Subject
Engineering; Continuum Mechanics and Mechanics of Materials; Mechanics; Characterization and Evaluation of Materials; Polymer Sciences
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-014-9236-6
Publisher site
See Article on Publisher Site

Abstract

The present effort provides a 3-D thermodynamic framework generalizing the 1-D modeling of 2-way shape memory materials described by Westbrook et al. (J. Eng. Mater. Technol. 312:041010, 2010 ) and Chung et al. (Macromolecules 41:184–192, 2008 ), while extending the strain-induced crystallization and shape memory approaches of Rao and Rajagopal (Interfaces Free Bound. 2:73–94, 2000 ; Int. J. Solids Struct. 38:1149–1167, 2001 ), Barot and Rao (Z. Angew. Math. Phys. 57:652–681, 2006 ), and Barot et al. (Int. J. Eng. Sci. 46:325–351, 2008 ) to include finite thermal expansion within a logarithmic strain basis. The free energy of newly-formed orthotropic crystallites is assumed additive, with no strains in their respective configurations of formation. A multiplicative decomposition is assumed for the assumed thermoelastic orthotropic expansional strains of the respective crystallites. The properties of the crystallites are allowed to depend both on current temperature and their respective temperatures of formation. The entropy production rate relation is written in the frame rotating with the logarithmic spin and produces stress and entropy relations incorporating the integrated configurational free energies, and a driving term for the crystallization analogous to that obtained by the previous studies of Rao et al. The salient attributes of the 1-D modeling of Westbrook et al. are recovered, and applications are discussed.

Journal

Mechanics of Time-Dependent Materials – Springer Journals

Published: May 1, 2014

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