http://www.springerlink.com/content/wx185g5301300521/fulltext.pdf
Macroscopic instabilities of fiber reinforced composites undergoing large deformations are studied. Analytical predictions for the onset of instability are determined by application of a new variational estimate for the behavior of hyperelastic composites. The resulting, closed-form expressions, are compared with corresponding predictions of finite element simulations. The simulations are performed with 3-D models of periodic composites with hexagonal unit cell subjected to compression along the fibers as well as to non-aligned compression. Throughout, the analytical predictions for the failures of neo-Hookean and Gent composites are in agreement with the numerical simulations.
It is found that the critical stretch ratio for Gent composites is close to the one determined for neo-Hookean composites with similar volume fractions and contrasts between the phases properties.
During non-aligned compression the fibers rotate and hence, for some loading directions, the compression along the fibers never reaches the level at which loss of stability may occur.
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Prof. Stephan Rudykh:
It is a novel research work in area of fiber composites.I What to know what the stability analysis results will be if viscous(or elasto)-plastic properties of matrix is considered? Thank you!
Pengfei Liu
In reply to http://mypage.zju.edu.cn/per by pfliu@zju.edu.cn
Thanks for your response!
Thanks for your response! It's an interesting direction to go, however it's quite far beyond the scope of the paper (in which I perform a homogenization of hyperelastic fiber composites with further analysis of global stability as it is based on the homogenized elastic moduli). Anyway, I hope to explore such problems in future.
thanks again,
Stephan