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Aug 18, 2019 at 20:04 comment added John Alexiou For reference, I found this article wherein Figure 2.10 describes this exact same problem.
Mar 8, 2018 at 13:47 history edited John Alexiou CC BY-SA 3.0
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Feb 10, 2017 at 0:21 vote accept John Alexiou
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Feb 5, 2017 at 16:48 comment added Muze It really is a precise math and art when heating, moving and quenching metal that makes the strongest blade from a rod. All metals have different temperatures and properties, but normally its a mixture of steal and carbon to make the strongest blades. Heat,cooling time and the speed which it is crushed should be a factor.
Feb 4, 2017 at 18:42 comment added John Alexiou But in a Hertzian sense the line contact has to have a width to spread the force making the contact pressure finite and the deflections calculatable.
Feb 4, 2017 at 1:07 comment added user93237 The stresses near the two points of contact (or, rather, the two lines of contact) are of course going to be much higher than the stresses throughout the rest of the blue rod. So relatively early in the compression you're going to exceed the yield strength of the rod material in those localized regions, and once that happens there really isn't much hope of finding an analytical solution to the problem. (Unless the rod is made out of some material like jello or rubber which doesn't hit a yield point until fairly high strains.)
Feb 4, 2017 at 0:57 history edited John Alexiou CC BY-SA 3.0
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Feb 3, 2017 at 23:51 history tweeted twitter.com/StackPhysics/status/827665951868989440
Feb 3, 2017 at 20:26 answer added nicoguaro timeline score: 3
Feb 3, 2017 at 19:03 comment added John Alexiou We can assume a line contact and known force applied. The contact width can be assumed to be zero as a first pass. This is because I can get the contact stiffness between two parallel rods from Hertz.
Feb 3, 2017 at 16:32 comment added nicoguaro One caveat about this problem is the nonlinearity that appears due to the contact (the boundary conditions are changing).
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Jan 31, 2017 at 19:31 comment added John Alexiou I have looked at this problem using numerical methods (FEA) and I was curious if there is an analytical approach out there.
Jan 31, 2017 at 19:30 history edited John Alexiou
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Jan 31, 2017 at 14:49 history asked John Alexiou CC BY-SA 3.0