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and the finite element method is used to numerically solve for the stress fields that<br />

are developed. A two-pore system is presented to represent the multiple pore<br />

material system.<br />

Augmented scaled bone replicas were built using FDM based on micro-computed<br />

tomography data and the geometric accuracy of the model was evaluated by<br />

comparing experimental tests with the replicas to the finite element solution based<br />

on the same micro-CT data [37]. A new version of the large-scale FE solver was<br />

developed to incorporate orthotropic material properties. This allowed the<br />

experimentally measured properties of the rapid prototype material to be input into<br />

the FE models. The modified FE solver was reported to have predicted the<br />

experimental stiffness within less than 1%.<br />

A finite element analysis was proposed by Zhang and Chou [38] considering<br />

coupled thermal and mechanical phenomena and an element activation function to<br />

mimic the additive nature of FDM. In a further study [39] the FEA model was used to<br />

evaluate the distortions of a part. A parametric study, with three factors and three<br />

levels is performed to evaluate the effects of the deposition parameters on residual<br />

stresses and part distortions. Prototype models with larger sizes are fabricated,<br />

measured, and compared with the simulations. The commercial FEA software<br />

ANSYS was utilised to develop the simulation codes. The simulations were<br />

conducted in a stepwise thermo-mechanical manner. A rectangular parallelepiped<br />

element capable of both mechanical and thermal analyses was chosen. The scan<br />

speed was the most significant factor affecting part distortions, followed by the layer<br />

thickness. The road thickness alone was insignificant but its interaction with layer<br />

thickness was significant. Residual stresses were found to increase with layer<br />

thickness.<br />

It is evident, most of these examples of the application of the finite element analysis<br />

in FDM either allow modelling of the flow of the individual filament or calculate the<br />

overall part characteristics. There is very little work done in terms of using the<br />

capabilities of FEA to model the influences of different deposition styles. However,<br />

Anna and Selcuk observed indeed that the road shape and the road-to road<br />

interaction as well as the trajectory of deposition strongly affect the properties and<br />

104

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