| Author | Jacob Fish, Qing Yu and KamLun Shek |
|---|---|
| Title | Computational Damage Mechanics for Composite Materials Based on Mathematical Homogenization |
| Year | 1998 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 45(11) |
| Pages | 1657-1679 |
| Abstract | This paper is aimed at developing a nonlocal theory for obtaining numerical approximation to a boundary value problem describing damage phenomena in a brittle composite material. The mathematical homogenization method based on double scale asymptotic expansion is generalized to account for damage effects in heterogeneous media. A closed form expression relating local fields to the overall strain and damage is derived. Nonlocal damage theory is developed by introducing the concept of nonlocal phase fields (Stress, strain, free energy density, damage release rate, etc.) in a manner analogous to that currently practiced in concrete [7], [8], with the only exception being that the weight functions are taken to be C0 continuous over a single phase and zero elsewhere. Numerical results of our model were found to be in good agreement with experimental data of 4-point bend test conducted on composite beam made of BlackglasTM/Nextel 5-harness satin weave. |