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I want to chop up a drinks can
There's your trouble, an aluminium soda can is not the right starting point. You'll have much better results with a steel bean can. The alloy used for the body of soda cans is not heat treatable. You can anneal it at 344°C to bring it back to original condition, as it will be much stronger following the extensive cold working involved in can production, but at original condition it will be too weak to cut cookie dough 🙂
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make a cookie cutter
I suppose that you already have something in mind, but I’ve often thought of the potential of Escher’s art for biscuit cutting technology
Metallurgy question: I want to chop up a drinks can to make a cookie cutter, but the metal is really springy and difficult to shape.
Is there some kind of heat treatment I can do to make it more pliable? I have a gas hob at my disposal