Stress-accurate Mixed FEM for soil failure under shallow foundations involving strain localization in plasticity
The development of slip lines, due to strain localization, is a common cause for failure of soil in many circumstances investigated in geotechnical engineering. Through the use of numerical methods - like finite elements - many practitioners are able to take into account complex geometrical and phys...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/27499 |
| Acceso en línea: | https://hdl.handle.net/2117/27499 https://dx.doi.org/10.1016/j.compgeo.2014.10.004 |
| Access Level: | acceso abierto |
| Palabra clave: | Soil mechanics--Mathematical models Strain softening Strain localization Local plasticity models Mixed finite elements Slip lines Shear bands Shallow foundations Soil failure Von Mises Drucker-Prager FINITE-ELEMENT-METHOD DARCY FLOW STOKES EQUATIONS Mecànica dels sòls -- Mètodes numèrics Àrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòls Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Sumario: | The development of slip lines, due to strain localization, is a common cause for failure of soil in many circumstances investigated in geotechnical engineering. Through the use of numerical methods - like finite elements - many practitioners are able to take into account complex geometrical and physical conditions in their analyses. However, when dealing with shear bands, standard finite elements display lack of precision, mesh dependency and locking. This paper introduces a (stabilized) mixed finite element formulation with continuous linear strain and displacement interpolations. Von Mises and Drucker-Prager local plasticity models with strain softening are considered as constitutive law. This innovative formulation succeeds in overcoming the limitations of the standard formulation and provides accurate results within the vicinity of the shear bands, specifically without suffering from mesh dependency. Finally, 2D and 3D numerical examples demonstrate the accuracy and robustness in the computation of localization bands, without the introduction of additional tracking techniques as usually required by other methods. (C) 2014 Elsevier Ltd. All rights reserved. |
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