Difference/relationship between the strength of a fibre and its elasticity?

Question

What's the difference/relationship between the strength of a fibre and its elasticity?

thank you

Answer 1

Elasticity:
For small amounts of stress, the elastic modulus (Young's modulus) is the applied stress divided by the fractional change in length (ΔL / L) of a material. Another way of thinking about is that the elastic modulus is the slope of the linear portion of a stress-strain diagram. The higher the elastic modulus, the stiffer the material (i.e., the less elastic).

Strength:
The maximum stress a material can withstands without breaking.

Stress:
Tensile or compressive force, divided by the cross-sectional area through which that force is applied.

There is not necessarily a relationship between elasticity and strength. For example, a high-grade aluminum alloy might have the same strength as mild steel, but only 1/3 the stiffness. They would both break at the same amount of stress, but the aluminum would deflect more under equal stress.

Answer 2

there's a relationship between length and potential income, despite if it is not an easy correlation. The element ratio is likewise significant as is the relative stiffness of the fibre and the matrix. i'm extra conscious of fibres in concrete, the place the fibres do their paintings after the matrix (concrete) starts off to crack. The strengthening mechanism is concerning the cros sectional portion of fibre bridging the crack and its embedment interior the matrix to the two element of the crack. an extremely short fibre could have little embedment and could pull out, collectively as an prolonged fibre would be totally embedded and could rupture. In a concrete matrix fibres shorter than 10-15mm would be particularly innefective, as would fibres >60-75mm as they could no longer be located effectively. A fibre 0.05mm long would have little or no effect until you're engaged on the microscopic scale, i.e. very small factors with very small crack widths.