Problem 3: A large rectangular plate is loaded in such a way as to generate the unperturbed (i.e. far-field) stress field xx = Cy; yy = -C x; Oxy = 0 The plate contains a small traction-free circular hole of radius a centered on the origin. Find the stress field in the plate (, e, and re) Problem 4: A state of pure shear, xy = S in a large plate is perturbed by the presence of a rigid circular inclusion in the region r < a. The inclusion is perfectly bonded to the plate and is prevented from moving, so that u, = 0 atr = a. (a) Find the stress field in the plate (Orr, e, and re) (b) Determine the stress concentration factor due to the inclusion based on shear stress.