Master's Dissertation
DOI
10.11606/D.3.2013.tde-10072014-170459
Document
Author
Full name
Rubens Augusto Amaro Junior
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2013
Supervisor
Committee
Cheng, Liang Yee (President)
Bittencourt, Túlio Nogueira
Lira, William Wagner Matos
Title in Portuguese
Simulação computacional do comportamento elástico de materiais pelo método de partículas Moving Particle Semi-implicit (MPS).
Keywords in Portuguese
Dinâmica dos sólidos
Interação fluido-estrutura
Métodos numéricos
Abstract in Portuguese
Title in English
Computer simulation of elastic behavior of materials by the particle method Moving Particle Semi-Implicit (MPS).
Keywords in English
Fluid-structure interaction
Numerical methods
Solid dynamics
Abstract in English
In this work a particle method to simulate the dynamics of elastic solids and fluid-structure interaction is implemented. It is based on the Moving Particle Semi-implicit Method (MPS), which was originally developed for incompressible flows with free surface. The main strategy of the MPS is to replace the differential operators of the governing equations by discrete differential operators on irregular nodes, which are derived from a model of interaction between particles. Initially details of the method and constitutive equations are shown. A simplified condition of fragmentation and collision between solids are proposed to allow the investigation of fragmentation amount multiple solids. In case of fluid-structure interaction, the solid's surface particles are treated as a fluid particle and the pressures of the surface particles are computed by solving Poisson equation for the pressure, just as the fluid particles. Therefore, the coupling between solid and fluid is done by using the displacement and velocity of elastic solid as the boundary conditions of the fluid, and the pressure at the interface, which is obtained when solving the fluid motion, is used to calculate the motion of the elastic solid. The algorithms for elastic solid, fragmentation, collision and fluid-structure interaction are presented and detailed. The qualitative and quantitative validations of the method are carried out herein considering static and dynamic cases subjected to deferent boundary conditions by comparing the numerical results from MPS with other numerical, analytical and experimental results available in the literature.