4 Martensite Transformation: Consider the FCC to BCC transformation as discussed in class. In the original FCC structure, one can identify a BCC-like cell (see the figure below). The transformation can then be considered as deforming the original FCC structure such that the BCC-like cell become the actual unit cell for the BCC structure, with the right lattice parameters. Z X (a) Compute the normal strain component Exx, Eyy , Ezz respectively along the x, y, z directions resulting from the deformation of the original FCC structure to achieve the BCC structure. (hint: be careful of the signs, i.e., compressive strain is negative and tensile strain is positive) (b) Compute the volume strain Ev=dV/V. (hint: focus on the BCC cell, after and before the deformation, dV = V_after - V_before and V = V_before). (c) If the bulk modulus of the material is K = 10 GPa, compute elastic strain energy density ? (i.e., the strain energy per unit volume) associated with the martensite transformation, i.e, Q = -K(ET)- 2