Modeling the effective elastic properties of materials with parallel pore channels with Y-shaped cross-sections

Abstract

The paper determines the effective elastic properties of a model material containing pore channels with cross-sections as Y-shaped cracks centered at the nodes of a regular hexagonal network and having arms aligned with the links of the network. A unit cell of relative size 1 × 3 consisting of two halves of adjacent cracks is considered. Effective Young's modulus and Poisson's ratio of the unit cell are determined for all combinations of relative arm lengths in 0.05 increments. The limits of variation in the effective elastic properties depending on the relative total projection of cracks onto the transverse deformation direction are established.

Analysis of closed branched and intersecting cracks by the boundary element method

“…Tan et al [5] developed the hybrid boundary node method and the displacement discontinuity method for the analysis of a branched crack and a star-shaped crack in a finite plate. Borovik [6] determined the effective elastic properties of a sintered material with branched cracks. A unit cell containing the halves of two adjacent cracks was modelled using the FEM.…”

Homogenization of plates with parallel cracks

“…The self-consistent method was used to take into account the interaction of cracks. Borovik [2] determined the effective elastic properties of a sintered material with pore channels treated as Y-shaped cracks, which created a periodic regular hexagonal network. A unit cell containing halves of two adjacent cracks was modeled using the finite element method (FEM).…”