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.