Recent content by SerArthurRamShackle

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    Radial contraction of a stretched hyperelastic cylinder

    For the most part I know the material covered by the pdf in that link, although some of it less well than other parts because it's not particularly relevant to me. The stretch ratios I have derived above agree with the pdf but that is in the case of volume preservation and uniform radial...
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    Radial contraction of a stretched hyperelastic cylinder

    I can write, for the moment that: 2L = mv2 + (πr2hρ)v2 - 2πr'2h'W 2L = mv2 + (πr2hρ)v2 - 2πf(x)λxW/(λ - 1) Essentially I have replaced an explicit functional dependence of r on x with an implicit one and have continued as normal so that I may perform the relevant differentiation when I do know...
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    Radial contraction of a stretched hyperelastic cylinder

    The fixed end will have to have a radius of r but I don't place that restriction on the free stretched end, though it could be to simplify things. I've tried volume invariance but for finding the equations of motion it makes no sense. Using the principal stretches of the deformation gradient...
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    Radial contraction of a stretched hyperelastic cylinder

    Hi, I'm trying to work out how much strain potential I can produce in a cylinder but I want to know how much is stored for any specific part of the cylinder. The problem then is this: I have a cylinder of original dimensions r and h, where h is the original height and r is the radius. It is...
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    Finitely Deforming an Elastic Band to Launch a Payload

    Hi. I've set myself a project with a couple of my classmates and despite the impracticability of it we want to do it as well as possible. Our aim is to look at using a massive elastic band in order to launch a payload at massive velocities, possibly even at escape velocity. To this end I've...