Addressing Tension Instability in SPH Methods.
NAVAL RESEARCH LAB WASHINGTON DC
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Smoothed particle hydrodynamics SPH has the potential to be an important method for structural analysis. However, the SPH method is currently plagued by tension instability. In this work, a new unconventional approach is introduced, in which the stresses are calculated at points other than the SPH nodes, to address this difficulty. This algorithm is implemented into a one dimensional 1D program called SPH1D. In addition, objective stress rate calculations are discussed and specialized to 1D applications. The results from applying the unconventional approach to a simple bar are very encouraging. The bar holds together in tension and compares quite well to a finite element analysis.
- Fluid Mechanics