(a) The deformation of a solid is defined by the mapping X1 = 50X1 - 30X2...

 

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(a) The deformation of a solid is defined by the mapping X1 = 50X1 - 30X2 X2 = - 30X1 + 50X2 %3! Determine the deformation gradient tensor, the right and left Cauchy-Green deformation tensors, and the Green strain tensor for this deformation. [5 marks] (b) For superimposed material and spatial coordinates, the displacement vector for a solid undergoing deformation is given by Determine the displaced location of a material particle that was initially at (3, 0, - 3). [5 marks] (a) The deformation of a solid is defined by the mapping X1 = 50X1 - 30X2 X2 = - 30X1 + 50X2 %3! Determine the deformation gradient tensor, the right and left Cauchy-Green deformation tensors, and the Green strain tensor for this deformation. [5 marks] (b) For superimposed material and spatial coordinates, the displacement vector for a solid undergoing deformation is given by Determine the displaced location of a material particle that was initially at (3, 0, - 3). [5 marks]