Misc. Nonlinear rubberband type thing - "k" dropping fast as it is stretched

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The discussion focuses on finding materials that can produce a specific displacement versus force curve, resembling the behavior of a piston inflating a balloon. Participants are seeking durable options that can withstand at least 100 stretch cycles without being messy, ruling out liquid-based colloidal materials. Suggestions include experimenting with silicone and potential additives to achieve the desired characteristics. There is also clarification on the axes of the graph, confirming that displacement is on the x-axis and force on the y-axis. The conversation hints at the implications of reversing these axes, suggesting interesting hysteresis effects.
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What materials can I try in order to get a curve of displacement versus force that looks somewhat like this..
(of course, there would be a small kink around the origin where the ends of the rubberband are closer together than its length, which is not shown here).

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I am looking for something that will last at least 100 stretch cycles and is not messy, so for example liquid based colloidal stuff won't be suitable. Is there something one can whip up using silicone and some additive, say? Or something that exists commonly or is available on Amazon?
 
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Swamp Thing said:
What materials can I try in order to get a curve of displacement versus force that looks somewhat like this..
A piston in a cylinder, like a bicycle pump, that is connected to a balloon. As the piston moves, high pressure is needed to begin inflating the balloon, then the pressure falls rapidly as the balloon volume rises.
 
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Swamp Thing said:
a curve of displacement versus force
the graph is not labelled.
Is stress ( force ) along the y-axis, and strain ( displacement ) along the x-axis ?
 
Sorry... X is displacement and Y is force.

(If it was the other way round, there would be some interesting hystereses type things going on I guess)
 
That response is like a symmetrical over-centre latch.
Are the units mg, g, kg, tonne or N ?
 

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