Computational Modelling of Steady State Linear Elasticity using Least Square Moving Particle Semi-Implicit Method
Keywords:
linear elasticity, particle-based simulation, and structure analysisAbstract
Least Square Moving Particle Semi-Implicit (LSMPS) Method is a particle based spatial differential operator designed to solve various continuum mechanics problems by using particle-based method computation. LSMPS is able to solve the spatial derivative of a particle at any given locations when it has sufficient number of neighboring particles even if the neighboring particles is randomly distributed in contrast to standard finite difference method where the particle must be distributed in a typical cartesian grid. In this study, the LSMPS operator will be used to solve steady linear elasticity problems in both twodimensional and three-dimensional domain. The result obtained from LSMPS numerical simulation is compared to the respective analytical solution, empirical solution, or available commercial software ANSYS. In this study, the simulation time required for each problem using the LSMPS discretization is also the research interest and is tabulated as a reference for the reader.
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References
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