Consider a square element under pure shear deformation as shown in the figure. The relation between deformed and undeformed coordinates becomes
x1 = X1 + kX2, x2 = kX1 + X2
(a) Calculate deformation gradient F, Lagrangian strain E, Eulerian strain e, and engineering strain ε.
(b) Calculate principal stretch tensors U and V and rotation tensor Q.
![2213_Figure 9.jpg](https://secure.tutorsglobe.com/CMSImages/2213_Figure 9.jpg)