Before revision: The strain tensor for antiplane strain is given by Infinitesimal rotation tensor The infinitesimal strain tensor is defined as Therefore the displacement gradient can be expressed as where The quantity is the infinitesimal rotation tensor .
After revision: (see also: infinitesimal rotation matrix)The strain tensor for antiplane strain is given by Infinitesimal rotation tensor The infinitesimal strain tensor is defined as Therefore the displacement gradient can be expressed as where The quantity is the infinitesimal rotation tensor .