Hi Caleb,
Thanks for posting! And welcome to the wild world of 3D printing and 3D printed violins. It's pretty fun, and can also be rather frustrating.
What a great mashup! I'll be very interested in what you make.
Carbon filled PC!?!?!? You are brave. What printer are you using? It seems that you know what you're getting yourself into. I get sweaty just thinking about a long PC print like the body... :-)
OK let's talk details... First, materials in general. I have not done a thorough comparison of material properties, although I think that such a comparison would be illuminating. I also do not any formal training or experience in acoustic research, although I've read a lot of papers on the subject.
My broad understanding is that what is most important is the ratio of stiffness to density. Tonewoods (the fancy wood used for instruments) are often described by their sound radiation coefficient, which is equal to the square root (stiffness/density cubed). More info
here. Thus, a stiffer and less dense material is able to make a louder instrument.
I could be wrong here, but I would say that strength, like fatigue stress or failure stress, is relatively unimportant. You need a 'strong enough' material, but strength does not correlate to resistance to creep. Creep resistance is more about type of plastic, additives, ambient temp relative to glass transition temp, and how stiff the material is relative to the given load. If you have a very stiff material, even if it breaks easily, it is less prone to creep than a less stiff but stronger material.
Of course, high temp resistance is another matter, because the glass transition is a key indicator of how much creep you'll experience. If you have a material with a very high glass transition temp, it will creep less at room temp. PLA, not annealed, has a low Tg, thus it is highly susceptible to creep. However, it is also quite stiff, so that helps somewhat. What you need to do is allow a way for the bending stresses to be redirected (truss rod) so that the material can creep until the rods take the bulk of the load, and then ideally the parts will reach steady state. This does not happen for the body, though, so for that you must control creep via other means.
The user on reddit stated (I'm paraphrasing from my memory of the post) that hardness is more important, as it is the hardness that will determine how efficiently the material transfers sound waves. That's a bit of a different way to think about it, and I think that it is less relevant to the behavior of violin plates (where the plate is the top and bottom thin sections of the body. These plates are not really transmitting vibrations so much as they are being excited by vibrations and vibrating in complex patterns from this excitation. The more you can maximize their excitation, and the diversity of vibration patterns in the plates (see Chladni patterns for violin plates), the more rich sound with good volume you will achieve. The skin of a drum does not need to be hard, it needs to be tight, which is analogous to stiffness more so than hardness.
I think hardness may come into play in the acoustics for other instruments, or for electric instruments. If you have a pickup receiving a mechanical force, perhaps then hardness for the interfacing mechanical parts is really important. I'm not sure. I don't think that the Reddit user was wrong, but I think their analysis perhaps does not apply as much to violin plates.
Now it gets complicated. It is not always desirable to have a very high stiffness to density ratio, and the propensity of the material to dampen sound is important, too. So truly, a good enough violin plate can be crafted out of a wide variety of woods and/or plastics, but those plates would be carved differently (thickness) for the different materials and material properties.
Perhaps PC with carbon can make a great violin, but it might need dramatically different thickness in the plates than a PLA-CF body. I don't know. If you compare the young's modulus and density of the two materials, you should get a rough idea of how well the design will translate between them.
Wooden violins have plates with variable thicknesses. The Modular Fiddle does not. The reason is because that introduces a lot of variables and I did not get around to it. Haha, not a good reason! I would like to get to that soon, I just need some time and enough money in the bank to fiddle with fiddles for a bit.
I think the Modular Fiddle plates are modeled at 2.4mm thick. Wood varies I think from about 2.5 to 3.5mm, with some thicker sections getting up to 4.5 or 5mm. I'm not sure where that happens or how they are graduated, but I would love to learn more about this.
Any thinner and the instrument will be riddled with wolf tones. Any thicker and it may sound more like you're playing a plastic box underwater. My advice is to start with something that works, then make very small changes to one thing at a time. Make it easy to swap out bodies.
Salt annealing looks awesome! great results in that video, thanks for sharing!
-David