Answer Happy

2. Consider a compressible, homogeneous, hyperelastic body where the (response function of the) Piola-Kirchhoff stress is given by S.(F)= DW(F) for war) = }(det F)? (a) Show that S&(F) = (det FyFT, compute the Cauchy stress tensor Sm, and show [6 marks] that the material is both frame-indifferent and isotropic. (b) The above body follows the motion 114 marks) plat. = (avaz.baci+a+ra) with initial mass density po = 1. Compute the body forces, In required for the equations of motion Pop V.Sx+pala to be satisfied.