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Abstract
Los problemas que involucran grandes deformaciones son el foco de las investigaciones de modelos numéricos en las últimas décadas debido al desafío de encontrar una descripción cinemática adecuada del continuo. En los últimos años, se han utilizado diferentes formulaciones para describir problemas como el método Euleriano Lagrangiano Arbitrario (ALE) y el Método del Punto Material (MPM). Estos dos métodos permiten realizar análisis dinámicos que involucran grandes deformaciones. De esta forma, este trabajo pretende presentar una comparación de problemas aplicados a la geotecnia que involucran grandes deformaciones y grandes desplazamientos, utilizando MPM y el Método de los Elemento Finitos (FEM) asociado con el método ALE. Para este propósito, se simulan tres problemas: deslizamiento de bloques en un plano inclinado, deslizamiento de arena e inestabilidad de una pendiente utilizando el MPM y el FEM asociado con el método ALE. En todos los casos se presenta una comparación de los resultados y se discuten las ventajas y desventajas de cada método.
Problems involving large deformations are the focus of numerical modeling researches in recent decades due to the challenge of finding a kinematic appropriate description of the continuum. In recent years, different formulations have been used to describe such problems as the Arbitrary Lagrangian Eulerian (ALE) method and the Material Point Method (MPM). These two methods allow to perform dynamic analyzes involving large deformations. In this way, this work aims to present a comparison of problems applied to Geotechnics involving large deformations and large displacements, using MPM and FEM associated with the ALE method. For this purpose, three problems are simulated: sliding of blocks on an inclined plane, runout process of sand and instability of a slope using the MPM and the FEM associated with the ALE method. In all cases a comparison of the results is presented, and the advantages and disadvantages of each method are discussed.
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