Given the following displacements and rotation functions
where A, B, C, Q, and R are constants.
(a) Derive the middle-surface strains and curvatures.
(b) Derive the strain functions as a function of x, y, and z.
(c) For A = B = C = 0.001, Q = R = 2, α = β = π, x = y = 1/2, t = 0.002, evaluate and plot the strain as a function of the thickness coordinate z