Modeling of Effective Elastic Properties of Material with Parallel Pore Channels with Start-Like Cross-Sections

Abstract

Effective elastic characteristics of a model material containing pore channels with cross-sections as star-like three-beam cracks which centers at the nodes of a regular hexagonal grid and with the beams directed toward the grid lines are determined. The unit cell of the material with 1 × √3 relative sizes including 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 beam lengths in 0.05 intervals. Limits of variation in the effective elastic properties depending on the relative total projection of cracks onto the lateral strain direction are established.