An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation

A novel numerical model based on solid deformation is presented in this paper. This thermo-mechanical model can simulate the tectonic evolution of crust and (lithospheric and asthenospheric) mantle under different conditions. Our implementation uses the finite element method (FEM) in order to solve...

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Autores principales: Quinteros, J., Ramos, V.A., Jacovkis, P.M.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02643707_v48_n2_p83_Quinteros
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spelling todo:paper_02643707_v48_n2_p83_Quinteros2023-10-03T15:12:44Z An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation Quinteros, J. Ramos, V.A. Jacovkis, P.M. Elasto-visco-plastic rheology Lithospheric deformation Non-uniform mesh Numerical modeling crustal deformation elastoplasticity finite element method Lagrangian analysis lithosphere numerical model rheology tectonic evolution viscoelasticity A novel numerical model based on solid deformation is presented in this paper. This thermo-mechanical model can simulate the tectonic evolution of crust and (lithospheric and asthenospheric) mantle under different conditions. Our implementation uses the finite element method (FEM) in order to solve the equations. As a Lagrangian approach is employed, remeshing techniques are implemented to avoid distortion problems when a certain deformation threshold is reached. The translation of the state between the old and new mesh is achieved by means of the information stored on Lagrangian particles, which minimizes the diffusion. The model is able to represent elastic, viscous and plastic behaviour inside the studied domain. Three types of creep mechanism (diffusion, dislocation and Peierls) are included. Two different quadrilateral isoparametric elements were implemented and can be employed to perform the calculations. The first one is an element with 4 nodes, selective reduced integration and a stabilization operator to diminish hourglass modes, which reduces the computational time needed. The second one has 8 nodes located in standard positions, uses full integration scheme and has no hourglass modes as it satisfies the Inf-Sup condition. Several test cases with known solutions were run to validate the different aspects of the implementation. © 2009 Elsevier Ltd. All rights reserved. Fil:Quinteros, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ramos, V.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Jacovkis, P.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02643707_v48_n2_p83_Quinteros
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Elasto-visco-plastic rheology
Lithospheric deformation
Non-uniform mesh
Numerical modeling
crustal deformation
elastoplasticity
finite element method
Lagrangian analysis
lithosphere
numerical model
rheology
tectonic evolution
viscoelasticity
spellingShingle Elasto-visco-plastic rheology
Lithospheric deformation
Non-uniform mesh
Numerical modeling
crustal deformation
elastoplasticity
finite element method
Lagrangian analysis
lithosphere
numerical model
rheology
tectonic evolution
viscoelasticity
Quinteros, J.
Ramos, V.A.
Jacovkis, P.M.
An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
topic_facet Elasto-visco-plastic rheology
Lithospheric deformation
Non-uniform mesh
Numerical modeling
crustal deformation
elastoplasticity
finite element method
Lagrangian analysis
lithosphere
numerical model
rheology
tectonic evolution
viscoelasticity
description A novel numerical model based on solid deformation is presented in this paper. This thermo-mechanical model can simulate the tectonic evolution of crust and (lithospheric and asthenospheric) mantle under different conditions. Our implementation uses the finite element method (FEM) in order to solve the equations. As a Lagrangian approach is employed, remeshing techniques are implemented to avoid distortion problems when a certain deformation threshold is reached. The translation of the state between the old and new mesh is achieved by means of the information stored on Lagrangian particles, which minimizes the diffusion. The model is able to represent elastic, viscous and plastic behaviour inside the studied domain. Three types of creep mechanism (diffusion, dislocation and Peierls) are included. Two different quadrilateral isoparametric elements were implemented and can be employed to perform the calculations. The first one is an element with 4 nodes, selective reduced integration and a stabilization operator to diminish hourglass modes, which reduces the computational time needed. The second one has 8 nodes located in standard positions, uses full integration scheme and has no hourglass modes as it satisfies the Inf-Sup condition. Several test cases with known solutions were run to validate the different aspects of the implementation. © 2009 Elsevier Ltd. All rights reserved.
format JOUR
author Quinteros, J.
Ramos, V.A.
Jacovkis, P.M.
author_facet Quinteros, J.
Ramos, V.A.
Jacovkis, P.M.
author_sort Quinteros, J.
title An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
title_short An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
title_full An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
title_fullStr An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
title_full_unstemmed An elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
title_sort elasto-visco-plastic model using the finite element method for crustal and lithospheric deformation
url http://hdl.handle.net/20.500.12110/paper_02643707_v48_n2_p83_Quinteros
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