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Conjugate stresses to two-point deformation tensors
Asghari, M ; Sharif University of Technology | 2007
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- Type of Document: Article
- DOI: 10.1016/j.ijsolstr.2007.04.020
- Publisher: 2007
- Abstract:
- In this paper some expressions for stresses conjugate to two-point deformation tensors are derived. These expressions are offered in both the component and basis-free forms. Although, the material time rate of a two-point deformation tensor is not an objective quantity, the stress tensor conjugate to it may be determined. The component-form expressions are obtained by using the notion of conjugacy together with the objectivity of the stress power. The component-form expressions are then extended to a unified basis-free form, using a theorem established for this purpose. The specific results are provided for all different cases of distinct and coalescent principal stretches in a three-dimensional inner product space. © 2007 Elsevier Ltd. All rights reserved
- Keywords:
- Coalescence ; Deformation ; Tensors ; Theorem proving ; Three dimensional ; Deformation tensors ; Material time rates ; Two-point ; Stress analysis
- Source: International Journal of Solids and Structures ; Volume 44, Issue 22-23 , 2007 , Pages 7457-7467 ; 00207683 (ISSN)
- URL: https://www.sciencedirect.com/science/article/pii/S0020768307002028