Unfortunately, this isn’t very eli5, but what’s going on is something called twinning. When the engine starts cooling, it contracts from the temperature change, which stresses the material since it’s constrained in certain shapes. The clicking is actually due to twinning of the atoms, where the atoms suddenly arrange in a mirror image pattern across a plane in order to relieve stress, and this transition makes the clicking noise.
Source: materials science phd student
https://en.m.wikipedia.org/wiki/Crystal_twinning
https://en.m.wikipedia.org/wiki/TWIP_steel
Answered [here](https://www.reddit.com/r/askscience/comments/71d8o9/why_do_car_engines_tick_after_being_turned_off/):
>When the engine is running, it will heat up itself and the components near it. Heating something causes it to expand. Once the engine is turned off, it will cool down again which causes the materials to shrink back to their original state. The different parts of the engine are made of different materials, so the heating, cooling, expanding and shrinking happens at different rates. This can cause some friction and snapping, which causes the ticking sound you hear.
To expand on this:
Imagine a chunky metal box with no top, and a thin metal lid. The lid is attached to the box with bolts.
Now, heat the whole thing up, then let it cool down. The metal lid, being thinner, cools down faster than the chunky box beneath it, meaning the lid shrinks at a faster rate than the box.
This will cause the surface of the lid (that meets the box) to rub against the surface of the box.
That’s what’s causing the ticking sound. A car engine is comprised of several metal parts, and each may have a different size. When the engine is turned off, each engine part loses heat at a different rate, and some parts will shrink faster than others.
Engines also click when warming up. Not only when cooling down.
However, there is a lot of engine noise so you don’t really hear it.
It indeed is a case of thermal expansion and contraction. The same can happen with any material that changes temperature. Especially when different materials are combined.
I doubt that thermal contraction of the engine is causing the clicks. the car cools slowly after you turn off the engine. That thing is heat soaked and takes more than a few minutes to have appreciable thermal contraction.
I expect this to be electronic based, most likely a relay controlled by a thermostat, possibly the engine fan circuit. When thermostats get close to their specified temperature, they can ping pong on/off until they pass thru fully to either off or on. I suspect the clicking is the relay reacting to this ping pong effect.
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