Additive manufacturing (AM) is a promising technique for producing complex and customized structures: Components are synthesized layer by layer without molding tools out of a formless material. Simulating the production process is more complicated due to several factors that do not occur in conventional manufacturing. Adding a new layer leads to a larger physical domain, causing a artificial energy input within the simulation. This thesis uses the Finite-Cell-Method (FCM) to simulate an additive manufacturing process in 1D and examine the problem at hand. FCM is an extension of the p-version of the Finite-Element-Method (FEM), which resolves the geometry on the integration level. Furthermore, the Theta-method for executing the time integration is adapted by adding a predictor and corrector step to conserve energy. This universally applicable method leads to a very accurate approximation of the temperature distribution, while energy is conserved and computational requirements are low.     «

Additive manufacturing (AM) is a promising technique for producing complex and customized structures: Components are synthesized layer by layer without molding tools out of a formless material. Simulating the production process is more complicated due to several factors that do not occur in conventional manufacturing. Adding a new layer leads to a larger physical domain, causing a artificial energy input within the simulation. This thesis uses the Finite-Cell-Method (FCM) to simulate an additive...     »