ELASTIC STATE AND ORIENTATION OF PLATE-SHAPED INCLUSIONS

The inclusion problem of linear elasticity is applied to predict the crystallography of misfitted plate-shaped inclusions with isotropic and anisotropic elastic constants. Habit-plane orientations are considered to be determined so as to minimize the elastic strain energy. When plastic accommodation occurs in the inclusion, the strain energy reduces and the habit-plane orientation changes. Similarities and differences between the present energy consideration and previous purely geometrical analyses are elucidated. The implication and significance of ''incoherent'' inclusions are discussed within the framework of micromechanics.