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The displacement vector of a continuum is given u= 0.2tXe + 0.3t X e 2 - 0.1tX X 3. Assuming that the material and

  The displacement vector of a continuum is given u= 0.2tXe + 0.3t X2 - 0.1tX  X  3. Assuming that the material 

The displacement vector of a continuum is given u= 0.2tXe + 0.3t X e 2 - 0.1tX X 3. Assuming that the material and spatial coordinates coincide, Determine x=xXt) strain and X=X(x, t) reverse Strain. The position of the particle located at (-1,1,-1), at t=0. Determine the position of the particle located at t=3. The position of the particle located at (-1,-1,1), at t=1. Determine the position of the particle located at t=2 For the particle initially at (1,-1,2), at time t=2; Determine the strain gradient, Green, cauchy, Piola and Finger Strain tensors, and the Lagrange and Euler strain tensors. Calculate the direction of direction n= [1,1,-1]T before the deformation and calculate stress and unit elongation in this direction.

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