Micro and Macroscopic Models for Material Failure
Thursday, October 11, 2001 - 9:30am - 10:30am
A simple microscopic model for the failure of a composite material is the fiber bundle model. The failure of a cylindrical fiber bundle in tension is considered, a statistical time-to-failure model is considered and global load shearing (mean field) is assumed. A simple analytical solution is found. A simple macroscopic (continuum) model for failure is the damage model. Again the failure of a cylindrical rod in tension is considered. The analytical solution found is identical to that for the microscopic model. The models are used to determine the acoustic emissions during failure. The results re shown to be in good agreement with experiments carried out on the failure fiber board.