Calculate deformation gradient f lagrangian strain e, Project Management

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Calculate deformation gradient f lagrangian strain e

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

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