Influence of Surface Effect on the Equivalent Properties of Nanoporous Materials with Elastic Waves

The multiple scattering of elastic waves by uniformly arranged nanopores and the equivalent properties of nanoporous materials are studied in this paper. By using displacement potential function method, the stress fileds and strain fields around nanopores and the matrix are solved in accordance with the classical elasticity theory and surface elasticity theory. The equivalent bulk moduli and shear moduli of nanoporous materials are studied using the Mori-Tanaka method. Results show that the equivalent properties of nanoporous materials not only depend on the surface parameters but are also affected by the volume percentage of the holes.