This course is an extension of fundamental mechanics of materials. This objective of this course is to instruct the graduate students to understand the theory of three dimensional mechanical behaviors of solids and structures. Mechanical behaviors of elastic and inelastic materials will be investigated in this lecture. Theoretical analysis includes Cartesian tensor, deformation and strain, stress, constitutive relations between stress and strain, plane stress and plane strain problems in Cartesian coordinate, and elasticity of anisotropic materials such as composite mechanics.