A Particle Strength Exchange Method for Metal Removal in Laser Drilling

3D Thermal Simulation of a Laser Drilling Process with Meshfree Methods

“…whereby the fourth-order tensor B ≈ is defined for particle i: (14) in which the expanded definition of matrix C ∼ is found in [35,36], and the renormalization matrix A ∼ for particle i is computed by:…”

“…Other interesting efforts, more closely falling into the scope of this paper, are the application of the Radial Point Interpolation Method (RPIM) [12] and the Meshless Local Petrov-Galerkin (MLPG) collocation method [13] for the heat conduction in laser drilling. In [14], the authors reproduced the results of [12] by using yet another particle-based scheme. It is worth mentioning that the number of SPH developments in other fields of application is overwhelming, and numerous efforts have been made to model a variety of structural [15], CFD [16,17], and manufacturing simulations [18][19][20][21], to name a few.…”

Smoothed Particle Hydrodynamics Simulation of Orthogonal Cutting with Enhanced Thermal Modeling

“…The boundary conditions expressed in Equations 7and (8) need to be imposed on surface particles at each time step. The identification of particles located at the clamped surfaces is trivial and can be done once at the initial configuration.…”

“…The left image of this figure is produced by running a simulation with the standard thermal model expressed in Equation (12), where no heat loss boundary condition is included. The middle image in Figure 7 is the result of a simulation including the proposed enhancements outlined in Equations (8) and (13). The chip temperature computed by the enhanced model is slightly lower than the standard model.…”

“…The utilization of SPH in more industrially-oriented fields of application can also be found in the literature. Examples in laser-based manufacturing problems are the modeling of material removal in [8,9] and pulsed-laser ablation of aluminum in [10].…”