2. Elasticity (10 pts) Consider a sample of material with dimensions of 1 unit x 1 unit in the x-y plane, as shown in the sketch. The material is subject to the displacement field as follows (units are neglected here): u = 0.1+0.1xy v = 0.3-0.2y w=0 Please see back D 1.0 a) (2 pts) Sketch the deformed sample on the x-y plane. Please put the deformed sketch directly on top of the original figure b) (2 pts) Determine the function describing the shear strain Yxy (only) using the strain-displacement relations. c) (4 pts) Compare the shear strain at point C computed using your function from part 6 with the shear strain at that point observed from the figure. (Do this quantitatively). Also, comment on which value you think is more correct. 2d) (2 pts) Suppose the material is isotropic and its thickness is 0.1 unit. Is the material in a state of plane stress? Justify your answer. [As part of your answer, define what is a plane stress state.]