The averaged mechanical properties of prismatic lattice formed by ellipsoidal inclusions (Q1807037)

The author studies averaged mechanical properties of a prismatic lattice formed by ellipsoidal inclusions. The inclusions are of ellipsoidal shape with transverse circular sections, located at the nodes of a doubly-periodic lattice with orthogonal elementary cells. When the arrays of the inclusions are set at equal spacing in normal directions through the thickness of the matrix, the material formed is anisotropic composite with tetragonal symmetry at planes transverse to the fiber axis. The author obtains longitudinal and transverse elastic and shear moduli as well as the longitudinal Poisson ratio in terms of the aspect ratio and volume fraction of inclusions, as well as the relative rigidity of constituent phases. The results provided in a closed-form concern the stiffness of three-dimensional grained composites with in a parallel manner dispersed ellipsoidal inclusions forming a prismatic network inside the principal material. The author shows that the stiffness is influenced by both geometry of inclusions and their concentration.