Consider the displacement field: u1 = k(2X 2 1 + X1X2), u2 = kX2 2 , u3 = 0, k = 10−4 (2) (a) Find the elongation per unit length and the change of angles between two infinitesimal vectors v = dX1e1 and w = dX2e2 that emanate from a particle with position vector X = e1 + e2. (b) Sketch the deformed positions of these two vectors.
