Analytical, Numerical, and Experimental Studies of Effective Elastic Properties of Periodically Perforated Materials

Abstract

Comprehensive analytical, finite element analysis and experimental studies are made of the interaction between closely spaced multiple circular holes. The analytical model utilizes the technique of asymptotic homogenization and the complex variable method to obtain explicit expressions for the effective elastic properties of a completely perforated plate under uniaxial loading. The analytical predictions are then compared with a finite element model and the results of both techniques are verified experimentally using uniaxial testing under controlled conditions. The findings of the present work are also compared with earlier solutions and efforts are made to highlight inconsistencies and limitations of the three techniques.