About this document
Positive Definite Tensors in Mechanics by arugeet is a document available to read on EtoBox.
The document discusses the polar decomposition of second-order tensors. It defines a positive definite tensor as one where the inner product of any non-zero vector with the tensor-vector product is positive. Any tensor can be decomposed into symmetric and skew-symmetric parts. The polar decomposition theorem states that any invertible tensor can be uniquely factored into the product of an orthogonal tensor and a positive definite symmetric tensor. This decomposition plays an important role in defining gener
- Author
- arugeet
- Language
- EN