3. Volumetric or membrane-type formulation
Thermoformed or blown products are usually thin bodies. This raises the question of whether it is necessary to consider them as completely three-dimensional objects when studying their shaping. Couldn't we do away with the need for a third dimension, by taking advantage of the fact that these products are thin?
Below, we present the two types of approach, fully three-dimensional volumetric and thin shell — or rather membrane in the context of this presentation —, and then give arguments for choosing between the two.
In this formulation, the deformed sheet, preform or gob is considered as a fully three-dimensional body: the above equations are solved on the geometric domain it occupies, also known as the configuration....
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Volumetric or membrane-type formulation