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Compressive Failure of Single Fiber Composites

We present a model of a single fiber composite subject to a compressive axial load. The purpose is to better understand the origin of fiber failure as strain increases and describe the events subsequent to the initial fracture. Our model, a single fiber in a matrix, is a fourth order differential equation with a parameter in the second derivative dependant on the applied load/strain. This equation produces the oscillating solutions seen in experiments that describe the buckling phenomenon. We develop a model in order to show critical buckling failure effects, critical loads, and shape the fiber takes when fracture occurs and load is applied.

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Jermaine Baldwin, University of Chicago
Sherlyne Paret, SUNY Albany
Carlos A. Torre, Cornell University
Project supervisors:
S. L. Phoenix, Cornell University
Mason Porter, Cornell University