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Foundations of Tensor Analysis – Tensor Algebra and Tensor Calculus

  • Sumio MurakamiEmail author
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 185)

Abstract

Continuum mechanics has been formulated mainly in the mathematical framework of tensor algebra and tensor calculus. The accurate understanding and the proper application of continuum damage mechanics, therefore, necessitate sound foundation of this mathematical subject. The present chapter is the presentation of the foundation of tensor analysis in some detail for the convenience of readers not familiar enough with this important subject. The present chapter is the presentation of the foundation of tensor analysis in some detail for the convenience of readers not familiar enough with this important subject.

Keywords

Tensor Product Symmetric Tensor Tensor Field Orthogonal Transformation Continuum Damage Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Nagoya UniversityNagoyaJapan

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