Methods to project plasticity models onto the contact surface applied to soil structure interactions

authored by: C. Weißenfels, P. Wriggers
Abstract: In this work two new concepts for a direct application of plasticity models within a frictional contact description are developed. These concepts can be used in conjunction with all different kinds of contact formulations and solution methods. Additionally, all types of plasticity models can be projected onto the contact surface. The advantage of these concepts is shown exemplary in the modeling process of soil-structure interactions where the projected plasticity models are able to describe the soil behavior at the contact surface. The numerical implementation of the new frictional relations is based on the Mortar method. A new type of mixed formulation is also introduced combining the augmented Lagrangian method to enforce the normal contact constraint with the penalty regularization written in Hellinger-Reissner form to implement the tangential contact behavior. This reformulation leads to a reduction of the CPU time compared to the standard penalty regularization, if the Mortar method is used. Finally, the numerical investigation of a direct shear test shows the accurate reproduction of the typical stress-strain relation of the soil at the contact surface.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: Computers and geotechnics
Volume: 65
Pages: 187-198
No. of pages: 12
ISSN: 0266-352X
Publication date: 09.01.2015
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Geotechnical Engineering and Engineering Geology, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.compgeo.2014.11.015 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{7c8a9d367917471c92491148ae48b3d8,
title = "Methods to project plasticity models onto the contact surface applied to soil structure interactions",
abstract = "In this work two new concepts for a direct application of plasticity models within a frictional contact description are developed. These concepts can be used in conjunction with all different kinds of contact formulations and solution methods. Additionally, all types of plasticity models can be projected onto the contact surface. The advantage of these concepts is shown exemplary in the modeling process of soil-structure interactions where the projected plasticity models are able to describe the soil behavior at the contact surface. The numerical implementation of the new frictional relations is based on the Mortar method. A new type of mixed formulation is also introduced combining the augmented Lagrangian method to enforce the normal contact constraint with the penalty regularization written in Hellinger-Reissner form to implement the tangential contact behavior. This reformulation leads to a reduction of the CPU time compared to the standard penalty regularization, if the Mortar method is used. Finally, the numerical investigation of a direct shear test shows the accurate reproduction of the typical stress-strain relation of the soil at the contact surface.",
keywords = "Contact mechanics, Finite element method, Friction laws, Mortar method, Projection strategies, Soil mechanics, Soil-structure interactions",
author = "C. Wei{\ss}enfels and P. Wriggers",
note = "Funding information: This research project is supported by the Deutsche Forschungsgemeinschaft (German Research Foundation) within the research unit 1136: Simulation of Geotechnical Construction Processes with Holistic Consideration of Constitutive Laws in Soils.",
year = "2015",
month = jan,
day = "9",
doi = "10.1016/j.compgeo.2014.11.015",
language = "English",
volume = "65",
pages = "187--198",
journal = "Computers and geotechnics",
issn = "0266-352X",
publisher = "Elsevier BV",
}