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Assume that force is applied to a material like a rope, steel cable or a beam until it tears apart.

Does it make any difference for the breaking point if the force rises slowly or really fast?

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    $\begingroup$ Consider human bones - slowly applied force and they can support large loads. A sharp tap and they break… $\endgroup$
    – Solar Mike
    Sep 23 at 20:34
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Yes it can make a huge difference.

However, this will be very much depended on the material and its behavior.

There are two factors that can have an effect:

  • strain rate properties
  • Dynamic behavior and loading of the structure.

Strain rate properties

for example, strain rate is known to have a significant effect on steel:

enter image description here

Figure : change of strain rate properties for steel (source research gate)

As you can see for increasing strain rate, the strength goes up (not that much), but the failure strain goes down (significantly).

Sometimes, even the stiffness of the material increases. This according to some scholar is something that is explained by the Zener or Standard solid material represents the behavior. I.e. that the material behaviour can be explained by the combination of springs and dashpots.

enter image description here

Figure: Zener model (source Wikipedia)

In quasi-static loading, the dashpot is not contributing to the "resistance". As the strain rate increases, the damping properties become important.


Dynamic behaviour of the structure.

During a high speed introduction of the loads, (and depending on properties like density and young's modulus), there can be development of stress waves that further increases the loads on the structure.

This is especially valid if the load introduction is by jerking suddenly the wire/rope with the hand. At the end of the pull (when there is suddenly the highest resistance on the hand), apart from the force that the arm is applying, there is also the inertial forces (deceleration from the hand). Essentially its an impact.

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Every case is different.

A rope is going to flex the individual strands until one of them snaps, then the rest of strands will fail. If the tension is applied fast the process doesn't change drastically.

In steel cables if you apply the load fast you deny the individual strands from necking and they can break randomly with sharp edges.

A beam will simply bend under sudden application of excessive load and does not break. Many steel structures undergoing explosions or bombardment twist and bend, don't just tear apart.

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Yes. Evident by $F = ma$, and $E = \dfrac{mv^2}{2}$.

Example for the influence of acceleration "a" - a boxer would break the opponent's jaw by a fast punch but it is not likely to occur if he presses his fist against the opponent's face with the same force applied. As the fast punch creates a phenomenon called "impact" - the recipient of the force feels a much larger force imposed on him than the original force exerted.

The other interesting fact of faster force will break up something easier than slowly applied force is "fatigue" - bend a piece of thin metal back and forth rapidly will break up the metal much faster than applying the force slowly. In the latter case, you might not be able to break the metal but weaken it.

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  • $\begingroup$ This would be a better answer if you explain why you think it is evident. $\endgroup$
    – alephzero
    Sep 24 at 11:52

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