Problem 1: Determine the Kolosov-Muskhelishvili potentials for a state of uniform uniaxial stress, Oxx = S, perturbed by the presence of a traction-free circular hole of radius a as illustrated below. 5xx Use the general expressions given in class for an Infinite Plane with a Circular Hole. In your final answer give the complete expressions for the potentials including clearly defining each of the a, and bn coefficients. Hint: Solving this problem requires using the expressions provided in lecture, considering the Boundary Conditions, and doing some simple differentiation and some algebra. There is no need for integration. Also note we can express the Boundary Conditions at r = a by (+8) 0-0 +21 ore 2 =0@r=a or in terms of the Stress Functions and =0@r=a 22