3. (a) Sketch the initial and final positions of an element which was initially a square ABCD in the X-Y plane, of side
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3. (a) Sketch the initial and final positions of an element which was initially a square ABCD in the X-Y plane, of side
3. (a) Sketch the initial and final positions of an element which was initially a square ABCD in the X-Y plane, of side length dL with AB parallel to the X-axis and AD to the Y-axis, which undergoes the following simple shear. x = (X+kY), y=Y, z = Z = (b) Find the deformation gradient F (c) Obtain the green strain tensor E and small strain tensor & (d) Calculate the change in squared length of edges AB and AD and diagonals AC and DB (use both the finite strain theory and infinitesimal theory)