plasticrepair
I have a built in microwave oven with a broken door open button (the hinge plastic was too thin by design). The plastic is somewhat pliable, waxy. There is no chasing arrow showing the plastic type, but it is marked ">ABS<". In the past I've tried "works on plastic" household glue, PVA glue, super glue and/or plastic epoxy with mixed or worse results. Is there anything that really works on ABS?
See also: How to identify the type of plastic and How do I fix a broken microwave door hook latch?
Depending on how and where it broke it going to affect what you can use. I'm going to assume you're not looking for a suggestion of duct tape.
For long straight sections, where I had to cut a pipe, I've used rubber pipe connectors. You just slip it on one side of the break, align the pipes, and slip it over the break and tighten down the hose clamps.
There also exist pipe wraps that harden to do temporary repairs, that you can find in most hardware stores, but I've never used it.
I've used epoxy putty when I had a leak right at a coupling, so I wasn't able to get wrap something tightly right where it was. You just knead it together, press it into the leak, and wait for it to set up.
I'm not sure if you are still looking for strips but using these may help you with the heat problem.
They are slim, 7/8" by 1-5/8", not overly expensive and have a lens over them. They can even be mounted on their sides. These would be cooler to run. On the plastic, I'm not sure if just want to color the light or turn it into a part of the art piece, like lighting the ends for effects like that.
The nice thing is that there are similar brands so you can get something similar in you area. Another type of lighting you can use is LED, but it would be 3 or 4 times the price of these.
On the plastic you can always use a piece of opaque white lens from recessed lighting. You should be able to get them at a lighting store or at a DIY box store, or even an arts and crafts store.
Best Answer
The surprising (to me) answer may be ABS cement. You probably won't find this in the hardware store glue isle, instead head over to plumbing:
You'll want the smallest can possible (e.g. 4oz), and after use to seal it in a zipper lock bag and store in a cool dry location. The stuff goes bad in the can pretty fast.
The ABS cement worked for me far better than any of the other glues mentioned above. You can also cut out a small piece of ABS drain pipe, or other ABS item, to use as a patch for the repair.
Note that ABS cement is a mix of a solvent and ABS powder: in the end you really end up welding the plastic more than gluing it. For this reason clamping is recommended.