On the skew-symmetric character of the couple-stress tensor

Abstract

In this paper, the skew-symmetric character of the couple-stress tensor is established as the result of arguments from tensor analysis. Consequently, the couple-stress pseudo-tensor has a true vectorial character. The fundamental step in this development is that the isotropic couple-stress tensor cannot exist.

arXiv comment23 pages, 5 figures, 9 references

Cited by in corpus (3)

• On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush
• A new view on boundary conditions in the Grioli-Koiter-Mindlin-Toupin indeterminate couple stress model
• A variant of the linear isotropic indeterminate couple stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and complete traction boundary conditions