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Basis-free relations for conjugate strains of eshelby-like stress tensors

Behfar, S. K ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.mechmat.2006.10.001
  3. Publisher: 2007
  4. Abstract:
  5. In this paper, a general class of Eshelby-like or weighted stress tensors based on the right stretch tensor is defined as the product of a general type of Lagrangian stress tensor and a class of stretch measure. In addition, basis free relations for conjugate strains of Eshelby-like stress tensors are investigated, which are based on Hill's definition of energy conjugacy. The equations for strain tensors conjugate to Eshelby-like stress tensors are generally determined, but the case in which the conjugate strains are coaxial with the right stretch tensor is mostly investigated. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Lagrange multipliers ; Strain measurement ; Stress analysis ; Basis-free relations ; Conjugacy ; Eshelby-like stress tensors ; Principal axis method ; Tensors
  8. Source: Mechanics of Materials ; Volume 39, Issue 7 , 2007 , Pages 637-642 ; 01676636 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0167663606001281?via%3Dihub