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Plastic's mechanical properties vary greatly, because it almost always will depend on the temperature of the material. Plastics are generally a very malleable and ductile material art high temperatures. If molded properly it can take basically any form imaginable. Most plastics are man-made materials, and most are made up of polymers.

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Plastics have a good strength to weight ratio. If the plastic is thinner of course it will not be able to withhold as much pressure, but even a slightly thicker plastic can withstand a lot of pressure. Compared to other more well known strong materials such as metals and minerals, plastic's tensile strength is rather on the low side.

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In most plastics solid forms, they can not be shaped very easily. Plastics are known to be very brittle when at room temperature. Though when the temperature is increased the ductility of plastics increase dramatically. That is how many plastic products are formed.

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At high temperatures plastics are very malleable materials, on account that they can take basically any form. At lower temperatures most plastics are likely to break if they were being pressed into a sheet, or really any other form at all.

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Plastics at low temperatures are extremely brittle. A plastic that has been cooled will break very easily if enough pressure is applied, it will not mold very easily. Plastics at high temperatures are extremely malleable and will not break very easily.

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Steels are metals created by combining other metals such as iron, carbon alloys, nickel, etc.. Steels are man made, and are forged in order to create a more tensile, strong material than those beforehand.

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Steels, being metals, have a very high Tensile strength. Meaning they can generally withstand great amounts of force. This of course depends on the type of steel and what alloys were used to forge it. Steels without hardening allows have much less tensile strength, and are much more ductile.

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Throughout the processes which are used in order to forge steel, stretching and molding plays a big part in that process. However, after that process when the steel has hardened the ductility of that material greatly decreases.

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Same situation as with the ductility of steel.

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Steels can be very brittle, especially if there was a mistake in the creation. Different alloys allow for different tensile strengths, and there are steels that break very easily.

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Cast Iron is a brittle metal, compared to steel cast iron is extremely brittle. Cast iron also has a much higher carbon content than steels.

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Cast Iron's tensile strength is very poor compared to other materials. On account of how brittle it is, cast iron cannot withstand much pressure at all.

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For both Ductility and malleability cast iron is also very poor. It is a very hard and brittle metal, so if you try to mold it, without it being heated properly first, will always result in the materials cracking.

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Ceramics are organic compounds, normally made from minerals, typically clay. Ceramics can contain metals, it depends on the mixture used.

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Certain ceramics have immense tensile strength. In certain cases much more than a lot of metals. Ceramics that would be used for common cookware, may still be cracked but its tensile strength is pretty good.

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Ceramics ductility and malleability, being both properties involve the materials ability to be molded, in the cooled state are not good. Ceramics will crack with pressure applied, not move.

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Ceramics are known to be brittle. If a ceramic bowl is dropped, it is going to crack and break. While they are great for withstanding heat, it is not great for withstanding impact.

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Hot working is when plastic deformation of metal is carried out at a temperature above the re crystallization temperature the process, the process is known as hot working. (http://www.mech4study.com/2016/06/difference-between-cold-working-and-hot-working.html

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Cold working is if the deformation is done below the re crystallization temperature the process is known as cold working. (http://www.mech4study.com/2016/06/difference-between-cold-working-and-hot-working.html)

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If you are looking to make cookware that can withstand high temperatures and is very durable, steel is the best bet. Ceramics can also withhold high temperatures and keep their shape, but they are much more likely to break. Plastics are going to be best for containers. I would not suggest cast iron, as it is a very brittle metal, and is also very heavy