Micromechanical Analysis with Homogeneous and Periodic Boundary Conditions

Application ID: 118631


Various boundary conditions are employed in the computation of homogenized properties for heterogeneous materials. The choice between periodic or homogeneous boundary conditions depends on whether the infinitesimal volume is modeled as a repeating unit cell (RUC) or a representative volume element (RVE).

This example shows the application of homogeneous and periodic boundary conditions to a periodic microstructure with varying sizes of the unit cell, illustrating the impact of these conditions on the resulting homogenized properties.

When homogenous boundary conditions are applied to periodic microstructures, the averaged material properties asymptotically approach the effective material properties obtained with periodic boundary conditions.

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