Vol 61, No 5 (2009)

Font Size:  Small  Medium  Large

Taxonomy of polar decompositions for singular second-order tensors in R3

I. Romero, J.J. Arribas

Arch. Mech. 61 (5), 383-390, 2009

Keywords: polar decomposition; singular tensor


Abstract


The well-known polar decomposition theorem is analyzed for the case of second-order, singular tensors on ℝ3. A precise analytical and geometric characterization of the split is provided for tensors of rank two and one.

Full Text: PDF