Foundations of Tensor Analysis – Tensor Algebra and Tensor Calculus

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.