Método de elementos distintivos
Fecha
2006-06-25
Autores
Pérez Morales, Irvin Pablo
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Editor
Universidad Central “Marta Abreu” de Las Villas
Resumen
Se ha llevado a cabo una búsqueda bibliográfica con el objetivo de conocer el estado del arte de los métodos de generación de un medio para realizar simulaciones a través del Método de Elementos Distintos y para estar al tanto de las formulaciones y aplicaciones de este último método, después de lo cual se han expuesto las conclusiones parciales que justifican la realización de la presente investigación.
Se ha formulado un algoritmo de generación del medio que no depende del tipo de partícula con la que se haga el empaquetamiento y se ha formulado detalladamente cómo dicho algoritmo puede ser usado con partículas de gran variedad de formas. También se ha formulado un algoritmo que permite determinar si un punto se encuentra dentro de un conjunto de segmentos(caso 2D) o dentro de una malla(caso 3D). Este algoritmo puede ser empleado dentro del mencionado anteriormente. Este algoritmo intenta subsanar desventajas que hacen fallar en algunos casos a otros algoritmos similares. Además, se han presentado ejemplos de medios generados con el mencionado algoritmo de generación del medio.
Se ha hecho una formulación detallada del Método de Elementos Distintos para partículas esféricas y formadas por colisiones de esferas, y más adelante se ha presentado un ejemplo de la aplicación de este método a un problema de ingeniería.
Por último, se ha arribado a las conclusiones de la investigación, exponiéndose a la vez las direcciones hacia las cuales será extendida la presente tesis.
There has been made a search of bibliography with the aim of knowing the state of art of the methods of generation of a packing for carrying out simulations with the Discrete Element Method, and in order to be aware of the formulations and applications of this method, after which have been presented the partial conclusions that justify the present research. There has been formulated an algorithm of packing which does not depend on the type of particle to make the packing and there has been formulated in detail how this algorithm can be used with particles of several shapes. There has also been formulated an algorithm which allows to determine whether a point lies within a set of segments (case 2D) or within a mesh (case 3D). This algorithm can be employed as a part of the previously mentioned and does not have some disadvantages of similar algorithms. Besides, there have been presented examples of packings generated with this algorithm of generation. There has been made a detailed formulation of the Discrete Element Method for spherical particles and for particles formed by the collision of spheres. There has also been presented an example of the application of this method to solving an engineering problem. Finally, there have been stated the conclusions of the research, saying at the same time the future expansions this work will have.
There has been made a search of bibliography with the aim of knowing the state of art of the methods of generation of a packing for carrying out simulations with the Discrete Element Method, and in order to be aware of the formulations and applications of this method, after which have been presented the partial conclusions that justify the present research. There has been formulated an algorithm of packing which does not depend on the type of particle to make the packing and there has been formulated in detail how this algorithm can be used with particles of several shapes. There has also been formulated an algorithm which allows to determine whether a point lies within a set of segments (case 2D) or within a mesh (case 3D). This algorithm can be employed as a part of the previously mentioned and does not have some disadvantages of similar algorithms. Besides, there have been presented examples of packings generated with this algorithm of generation. There has been made a detailed formulation of the Discrete Element Method for spherical particles and for particles formed by the collision of spheres. There has also been presented an example of the application of this method to solving an engineering problem. Finally, there have been stated the conclusions of the research, saying at the same time the future expansions this work will have.
Descripción
Palabras clave
Empaquetamiento de Partículas, Micromecánica, Materiales, Comportamiento Físico-Matemático, Simulación de Problemas Ingenieriles