Before revision: Therefore Also Hence Relation between rotation tensor and rotation vector From an important identity regarding the curl of a tensor we know that for a continuous, single-valued displacement field , Since we have Strain tensor in cylindrical coordinates In cylindrical polar coordinates (), the displacement vector can be written as The components of the strain tensor in a cylindrical coordinate system are given by: Strain tensor in spherical coordinates 240px|Spherical coordinates (r, θ, φ) as commonly used in physics: radial distance r, polar angle θ (theta), and azimuthal angle φ (phi).
After revision: non-Cartesian coordinatesStrain tensor inTherefore Also Hence Relation between rotation tensor and rotation vector From an important identity regarding the curl of a tensor we know that for a continuous, single-valued displacement field , Since we have Strain tensor in cylindrical coordinates In cylindrical polar coordinates (), the displacement vector can be written as The components of the strain tensor in a cylindrical coordinate system are given by: Strain tensor in spherical coordinates 240px|Spherical coordinates (r, θ, φ) as commonly used in physics: radial distance r, polar angle θ (theta), and azimuthal angle φ (phi).