SPH is used to model the heat generation accurately near more » the tool and which is then inserted into to the FEM model as a heat source. In this work, we propose a coupled SPH-FEM framework. However, the computational expense of SPH simulations can be prohibitive. In contrast, smoothed particle hydrodynamics (SPH) model that explicitly captures the material flow near the tool and the associated heat generation are accurate. Heat source models within a finite element method (FEM) framework suffer from inaccuracies. A robust numerical model for the FSP can help in mitigating these residual stresses. « lessįriction stir processing (FSP) is a solid-state material processing technique that locally modifies the microstructure but also induces undesirable residual stresses.
In general, it was decided that bell-shaped kernels perform better than other shapes. In addition to the theory, 20 kernels are analyzed using the measure of merit demonstrating the general usefulness of the measure of merit and the individual kernels. The more » measure of merit for non-smooth data is not quite as accurate, but results indicate the kernel is much less important for these types of problems.
The measure of merit for smooth data is shown to be quite accurate and a useful delineator of better and poorer kernels. The results of this work are two measures of merit, one for smooth data and one near shocks. Since the kernel is the key element in the SPH methodology, this should be of primary concern to any user of SPH. Various methods of obtaining an objective measure of the quality and accuracy of the SPH kernel are addressed. In this paper, the smoothed particle hydrodynamics (SPH) kernel is analyzed, resulting in measures of merit for one-dimensional SPH.
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