A material point in a body is exposed to the following deformation gradient:
(a) Calculate the rotation tensor R, the right stretch tensor U, the left stretch tensor v, the right Cauchy-green tensor C, the left Cauchy-Green tensor b, and the spectral representation of F.
(b) Calculate the following Lagrangian strain: the Green strain, the Hencky strain, the Biot strain, and the Almansi strain.
(c) Calculate the following Eulerian strains: the Euler-Almansi strain and the Hencky strain.