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Dunford-Taylor integral and the isotropic tensor valued functions having the commutative property with their tensor argument

Ebrahimi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.4028/www.scientific.net/AMR.433-440.3308
  3. Abstract:
  4. Isotropic tensor valued functions of tensor arguments play an important role in the formulation of the equations governing the behavior of solid materials in the field of continuum mechanics. When the tensor argument is non-symmetric, the complexity and the difficulty in dealing with the tensor functions are high. In this work, the issue of expressing an isotropic tensor valued tensor function of a non-symmetric tensor argument is attention by utilizing the Dunford-Taylor integral. An important subclass of the isotropic tensor functions is considered with the commutative property
  5. Keywords:
  6. Isotropic tensor valued tensor functions ; Tensor power series ; Commutative condition ; Commutative property ; Dunford-Taylor integral ; Isotropic tensor functions ; Solid material ; Spectral representations ; Tensor-valued functions ; Continuum mechanics ; Information technology ; Integral equations ; Materials science ; Tensors
  7. Source: Advanced Materials Research, 16 September 2011 through 18 September 2011 ; Volume 433-440 , September , 2012 , Pages 3308-3314 ; 10226680 (ISSN) ; 9783037853191 (ISBN)
  8. URL: http://www.scientific.net/AMR.433-440.3308