What is displacement tensor: Definition and 1 Discussions
In mechanics, a displacement field is the assignment of displacement vectors for all points in a region or body that are displaced from one state to another. A displacement vector specifies the position of a point or a particle in reference to an origin or to a previous position. For example, a displacement field may be used to describe the effects of deformation on a solid body.
The Hencky strain, AKA true strain, logarithmic strain, can be related to displacement tensor as follows:
$$
E = ln(U)
$$
However, Hencky strain is typically done only for principal strains. This can be easily shown by actually trying to calculate the full displacement tensor using the above...