|
Abstract
|
Smooth Particle Hydrodynamic (SPH) is a meshless method which has been employed in astronomical and Fliud-Structure Intraction (FSI) problems analysis and produced promising results. Previously, different approaches of SPH method have been employed in solid analysis problems. In this thesis, a consistent SPH approach is developed for elastodynamic problems. The advantage of the current method is due to the consistence of spatial derivatives and employing an Updated Lagrangian (UL) approach in stress derivatives and momentum equation. In this thesis the consistent SPH method is introduced and the governing equations are discretized, a 1D problem and three 2D problems are investigated and the results are compared and validated by results of the Abaqus software.
The governing equations are simplified in 1D problem. In 1D problem, the static and dynamic displacements of a bar is investigated for the Total Lagrangian (TL) and the Updated Lagrangian formulations. Here, both approaches give acceptable results. The 2D form of the same problem is also studied to show the complexity of the solution procedure. Acceptable results are obtained for both 1D and 2D problems. In these two problems the major displacement occurs along the horizontal axis. Thus, the problem of a plate rotation is also studied to show the effect of method along the vertical axis. In this case, deformation is considered to be small. However, the rotation is not negligible. At last, a plate with initial transversal velocity is investigated to study the suggested method for large deformations.
|