Abstract
The above title describes one of several ways in which a mechan ical failure of a composite has been observed to occur.
A rigid oblong elliptic shape has been chosen for the fiber in two-dimensional treatment. Analytical formulation of the problem leads to a mixed boundary value problem of the mathematical theory of elasticity.
Recent advances in reducing dual series formulations to varia tional minimization procedures (via a Fredholm integral equation of the first kind) make a mathematical analysis feasible. The variational method leads to a transcendental equation whose only real root has been evaluated by the computer for various values of the elastic constants of the matrix.
The results show a substantial destruction of the bond between matrix and fiber due to the size of the detached region which ex tends over practically one-fourth of the microfiber at each end.
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