Given that the material components of the displacement vector U (see Fig. 2.6) are: U₁ = X₁ X₂², U₂=X₂²X₂ and U₂=X₂2X₁, determine the components of the material displacement gradient au, lax, and the material deformation gradient F, = 3x₁/3X₁. Hence confirm the derivative F, = U₁1JX₂ + &

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