Computational damage mechanics for composite materials based on mathematical homogenization
✍ Scribed by Jacob Fish; Qing Yu; Kamlun Shek
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 463 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
This paper is aimed at developing a non-local 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 e!ects in heterogeneous media. A closed-form expression relating local "elds to the overall strain and damage is derived. Non-local damage theory is developed by introducing the concept of non-local phase "elds (stress, strain, free energy density, damage release rate, etc.) in a manner analogous to that currently practiced in concrete [1, 2], with the only exception being that the weight functions are taken to be C 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 Blackglas2+/ Nextel 5-harness satin weave.