CoursHeroTranscribedText: A cubic elastomer is compressed by a steel piston in a deformable mold placed on a steel table, as shown in the figure below. The mold is initially cubic, tightly tting with the elastomer block. The mold will expand along lateral directions under the inner pressure, P. It can be assumed that the relationship between the width of the mold and the pressure is linear: a : on + ,B-P, where on is the initial mold width and ,6 is a system constant; ,8 is positive, small yet nontrivial (Le. it cannot be i gnored}. Assume that the lateral mold surfaces remain planar during deformation. Derive, in the framework of rubber elasticity, the relationship (the governing equation) between the piston pressure (P) and the piston displacement, (1'. Clearly state all your assumptions. P - Steel piston. % Elastomer block Deformable mold ' Steel table