Task 8. Consider a unit cube of an isotropic solid occupying the region
0<=x<=1,0<=y<=1,0<=z<=1.
After loads are applied the displacements are given by
u=alpha x
v=eta y
w=gamma z
a) Sketch the deformed shape for alpha =0.01,eta =0.01,gamma =-0.01.
b) Find the volume change (the difference between the volume after deformation and the original volume) for this unit cube.
Task 8. Consider a unit cube of an isotropic solid occupying the region I>z>0 After loads are applied the displacements are given by
u=ax v=3y w=yz.
a) Sketch the deformed shape for a = 0.01, 3 = 0.01, = -0.01. b) Find the volume change (the difference between the volume after de formation and the original volume) for this unit cube