MPM and ALE Simulations of Large Deformations Geotechnics Instability Problems

Abstract

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.

Analysis of the failure modes and development of landslides using the material point method

“…To evaluate the influence of the strength and deformability parameters on the formation of the failure mechanisms and on the development of a mass movement using the MPM, a slope was designed with the geometry presented in Figure 2 and the properties of Table 1 (previously used in studies by Alelvan et al, 2020). As this method uses constitutive models based on the continuum mechanics, the elastoplastic model with Mohr-Coulomb failure criterion in the slope and the linear-elastic model in the foundation were used.…”

Mathematical Modeling for the Optimal Cost Design of Circular Isolated Footings with Eccentric Column

“…Gnananandarao et al [19] applied multivariable regression analysis and artificial neural networks to predict the loadbearing capacity and settlement of multi-edge skirted footings on sand. Alelvan et al [20] presented a comparison of problems applied to geotechnics, including large displacements and deformations using the Material Point Method and Finite Element Method associated with the Arbitrary Lagrangian Eulerian Method. Al-Ansari and Afzal [21] developed an analytical simplified model to design irregularly shaped footings that support a square column.…”

Estudio comparativo para áreas mínimas en contacto con el suelo de zapatas aisladas rectangulares y circulares trabajando parcialmente bajo compresión

“…Las investigaciones sobre la capacidad portante de zapatas poco profundas sometidas a flexión biaxial han sido presentadas por: Gonzalez-Garcia [15], Irles-Más and Irles-Más [16], Rodriguez-Gutierrez and Aristizabal-Ochoa [17], Camero [18], Chagoyén et al [19], Ramu and Madhav [20], Özmen [21], Smith-Pardo [22], Valencia et al [23], Rodriguez-Gutierrez and Aristizabal-Ochoa [24,25], Cunha and Albuquerque [26], Luévanos-Rojas [27], Hassaan [28], Momeni et al [29], Camero [30], Kassouf et al [31], Luévanos-Rojas et al [32], Da Silva et al [33], Munévar-Peña et al [34], Rodrigo-García et al [35], López-Chavarría et al [36], Liu and Jiang [37], Al-Abbas et al [38], Gnananandarao et al [39], Alelvan et al [40], Lezgy-Nazargah et al [41], Gör [42], Himeur et al [43].…”