Mémoire de Maîtrise
DOI
https://doi.org/10.11606/D.3.2013.tde-10072014-170459
Document
Auteur
Nom complet
Rubens Augusto Amaro Junior
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Paulo, 2013
Directeur
Jury
Cheng, Liang Yee (Président)
Bittencourt, Túlio Nogueira
Lira, William Wagner Matos
Titre en portugais
Simulação computacional do comportamento elástico de materiais pelo método de partículas Moving Particle Semi-implicit (MPS).
Mots-clés en portugais
Dinâmica dos sólidos
Interação fluido-estrutura
Métodos numéricos
Resumé en portugais
Titre en anglais
Computer simulation of elastic behavior of materials by the particle method Moving Particle Semi-Implicit (MPS).
Mots-clés en anglais
Fluid-structure interaction
Numerical methods
Solid dynamics
Resumé en anglais
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.

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Date de Publication
2014-07-11

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