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22 Using MATLAB to Compute Heat Transfer in Free Form Extrusion Simone Costa, Fernando Duarte and Jo's A. Coveys University of Min ho Portugal 1. Introduction Rapid Prototyping (RP) is a group of
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Unfortunately, there is one major drawback associated with manufacturing RP products, which is that the material properties, such as the ductile properties of the part, depend a lot on the way in which the part is assembled, and even more so, on how the parts are fabricated and how the parts are assembled. In this paper we show that for complex parts such as free form extrusion systems, the best process for achieving desirable plastic behavior may be in the form of hybrid extrusion approaches, that combine traditional RP processes with an experimental approach to determine a robust physical model of the part for the next step of the production process. These models can be used to select a reliable method or process to fabricate the part, as well as to monitor the properties of the final product. 2. Materials and methods Using a 2D structure in computer graphics, our approach was to calculate the flow properties for the part using a two-dimensional simulation of a single extrusion unit. In this work, we used a 3D structure made from a series of orthogonal blocks in which the first block was a 3D cylinder (which acts as a cross-section of the part), and the second block was a plane which enclosed the first block. These blocks were connected by two different planes (or tunnels) located in the first block and a few lines connecting the block to the second block, and by lines from the first block to the second block. The geometry of the second block was constrained by a plane that was connected to the first block by two lines that ran directly along it. These lines were located in the first block and a plane that had a short side on it. Thus, the only way to get the right amount of material at constant pressure through the channels that the lines cross was to cross each line with a line of material on the opposite side of the cylinder. After each line was crossed and a line of material was placed, the line of line material was removed from the other side of the cylinder, and the rest of the cylinder was filled with pure resin. The amount of material flowing through the channels at each time (i.e. the pressure flow rate) was calculated. The pressure flow rate was then compared to the pressure flow rate calculated using the same methods for the extrusion of the initial cylinder. As expected, increasing the number of lines or tunnels resulted in the material flow rate decreasing.

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