The material constants E, G, k, and u are related to each other. Show that any one of the constants may be expressed in terms of any other two constants. For example, show that

 

(a) G= E 2(1+) (b) K = E 3(1-2) (c) K = GE (9G-3E) and (d) = (3K-2G) (6K+2G)