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Energy pairs in the micropolar continuum

Ramezani, S ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijsolstr.2006.12.006
  3. Publisher: 2007
  4. Abstract:
  5. In this paper, the concept of energy pairs in the micropolar continuum is introduced. A brief review of the micropolar continuum theory is presented for using in the subsequent derivations. A mathematical Lagrangian strain and a wryness tensor for the micropolar continuum are introduced. Using the first law of thermodynamics and for isothermal processes, the power of deformation is obtained and the energy pairs in the Eulerian and Lagrangian descriptions are defined. Also, the micropolar stress and couple stress tensors which are energy pairs to the micropolar Lagrangian strain and wryness measures are determined. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Deformation ; Strain energy ; Stress analysis ; Tensors ; Thermodynamics ; Couple stress ; Energy pairs ; Lagrangian strain ; Micropolar continuum theory ; Wryness tensor ; Continuum mechanics
  8. Source: International Journal of Solids and Structures ; Volume 44, Issue 14-15 , 2007 , Pages 4810-4818 ; 00207683 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020768306005312