Computer simulation of the processing of engineering materials with lasers theory and first applications

Abstract

Current numerical simulations of laser materials processing are usually based on a greatly simplified process model in order to allow for short computation times. This significantly decreases their flexibility and ability for simulation of the great variation of today's processes and, consequently, accounting for their subtle but important differences. The theory utilized for building a simulation tool presented in this paper can be said to be truly three-dimensional as opposed to other reported work that uses symmetric boundary conditions. The interaction of the free surface of the liquid face is modelled which provides a significant increase in the amount of process detail captured. The investigators contend that numerical modelling of the above can only be achieved credibly using high performance computing methods, in particular parallelization techniques.

Finite volume chiral partition functions and the replica method

“…This differential equation is written in terms of the fermion masses and all dependence on the pattern of symmetry breaking is through the Dyson index, β. The form of the differential equation in the specific case of β = 2 with zero topological charge is already known [10], but the generalization of this paper has not been found previously. The method is to develop Schwinger-Dyson equations for the effective low energy, or finite volume, partition function and next to realize how these can be written in terms of the fermion masses.…”

“…[7]. The large mass expansion is more involved as it is not possible to do a simple perturbative expansion, instead the large mass expansion is an asymptotic, or saddle-point, expansion [10,11]. The saddle-point approximation corresponds to the classical limit and is an expansion in powers of 1/N f .…”

Nonlocal systems of balance laws in several space dimensions with applications to laser technology

“…A wind, suitably provoked around the beam, pushes the melted material downwards. For its industrial interest, this phenomenon is widely considered in the specialized literature, see [13][14][15][16][26][27][28]32,33], while information specific to the cut of aluminum are for instance in [30]. A phenomenological description of the whole process can be summarized as follows.…”

The formation and elimination of polymer bulges in CO2 laser microfabrication

“…The application of laser on microfluidic device fabrication has been reported by other groups. In 2003, Gross and Black (2003) explained the topography of molten regions of re-growth and surface relief using a continuous wave CO 2 laser beam machining by a computer simulation. The theory utilized for building a simulation tool presented in that paper can be said to be truly three-dimensional as opposed to other reported work that uses symmetric boundary conditions.…”