A cube of linear elastic material is again subjected to avertical compressive stress in the 1-direction, but it is nowconstrained (e = 0) in both the 2- and the 3-directions a) find expressions for the induced transverse stresses, 2 and 3in term of stress 1. Hence, derive an expression for the effectivemodulus in this case b) sketch the variation of effective modulus with v and comment onthe limiting values when v = 0 (foam) and v = 0.5 (rubber) c) explain why the rubber soles of running shoes are designed withsome combination of air or gel pockets, partially foamed rummer anda tread. Attached

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