Areas of FocusCopyright: Fraunhofer ILT
We develop concepts for implementation of manufacturing processes (e.g. cutting, welding, drilling) on macro and nano-scales using lasers and derive requirements on future laser systems based on these concepts.
New concepts of process implementation arise when the solution properties of the model (e.g. resolidifying and adhering of melt during cutting) can be identified with the results of the diagnosis and experimentally observed properties (e.g. recording of the thermal emissions of the cutting front with a digital camera).
In order to better understand the nonlinear dynamics (NLD) of laser manufacturing processes, the solution properties of equations of motion within continuum physics (e.g. movement of the phase boundaries during cutting and vaporising) are analysed.
Reduced Dynamical Systems
Reduced dynamical systems are defined through mathematical modelling of what is identified as the key structure of the solution.
In order to evaluate the approximation accuracy of the reduced dynamical systems and to identify additional effects, numerical methods are applied (e.g. level set methods for describing the motion of open phase boundaries, wavelet bases for efficient and adaptive function approximation).