Composite Analysis for Short fibres - Critical length of fibre and strength calculations

This video presents analysis for obtaining short-fibre critical length and explians the concept of load transfer from matrix to the fibre.
Summary:
Short-fibre polymer composites tend to be weaker than the continuous long-fibre counterparts. However, short-fibre composites are preferred in many applications because they can be made cost-effectively by any traditional plastics manufacturing method.
For good bonding between the fibre and the matrix and for high strength of the composite, the surface area to volume ratio of the fibre should be large which means long fibres with smaller radius or flat flakes are ideal fillers for short-fibre composites.
For a given fibre/matrix interfacial shear strength and the fibre tensile strength, there is a fixed critical length of the fibre. The length of the short-fibre must be greater than the fibre critical length in order to achieve complete load transfer and high strength in the composite. Higher the fibre/matrix shear strength, smaller is the value of the fibre critical length.
Further analysis shows that the critical length of the fibre is not suffcient for good strength of the composite. The fibre length should be larger than the fibre critical length.

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