Question

Problem 2, 17pts An isotropic elastic body (E,= 207GPa; p=79.2GPa) has a uniform state of stress given by: 100 40 60 40-200 0 (MPa) 60 0 200 (a) What are the

strain components? Use the infinitesimal strain. (b) What is the total change of volume for a five-centimeter cube of the material? [T] Problem 3, 18pts For the following displacement fields in cylindrical coordinates: ₂ = A + Br². (1) uue = 0, (2) u, = sino/r, u=u₂ = 0. (3) ur = r²sind/2, ue=r²cost/2, u₂ = 0 (a) Calculate the deformation gradient F. (b) Calculate the Green Lagrange E*. (c) Calculate the infinitesimal strain E.

Fig: 1