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Isogeometric Analysis of Soil Plasticity

Spetz, Alex LU ; Tudisco, Erika LU orcid ; Denzer, Ralf LU and Dahlblom, Ola LU (2017) In Geomaterials 7(3). p.96-116
Abstract
In this paper we present numerical simulations of soil plasticity using isogeometric analysis comparing the results to the solutions from conventional finite element method. Isogeometric analysis is a numerical method that uses nonuniform rational B-splines (NURBS) as basis functions instead of the Lagrangian polynomials often used in the finite element method. These functions have a higher-order of continuity, making it possible to represent complex geometries exactly. After a brief outline of the theory behind the isogeometric concept, we give a presentation of the constitutive equations, used to simulate the soil behavior in this work. The paper concludes with numerical examples in two- and three-dimensions, which assess the accuracy of... (More)
In this paper we present numerical simulations of soil plasticity using isogeometric analysis comparing the results to the solutions from conventional finite element method. Isogeometric analysis is a numerical method that uses nonuniform rational B-splines (NURBS) as basis functions instead of the Lagrangian polynomials often used in the finite element method. These functions have a higher-order of continuity, making it possible to represent complex geometries exactly. After a brief outline of the theory behind the isogeometric concept, we give a presentation of the constitutive equations, used to simulate the soil behavior in this work. The paper concludes with numerical examples in two- and three-dimensions, which assess the accuracy of isogeometric analysis for simulations of soil behavior. The numerical examples presented show, that for drained soils, the results from isogeometric analysis are overall in good agreement with the conventional finite element method in two- and three-dimensions. Thus isogeometric analysis is a good alternative to conventional finite element analysis for simulations of soil behavior. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Isogeometric Analysis, NURBS, Numerical Methods, Soil Plasticity
in
Geomaterials
volume
7
issue
3
pages
21 pages
publisher
Scientific Research Publishing (SCIRP)
ISSN
2161-7546
DOI
10.4236/gm.2017.73008
language
English
LU publication?
yes
id
a32bb7e6-5972-4084-b95d-f632bca496c1
date added to LUP
2019-05-17 18:25:33
date last changed
2020-07-25 02:31:06
@article{a32bb7e6-5972-4084-b95d-f632bca496c1,
  abstract     = {{In this paper we present numerical simulations of soil plasticity using isogeometric analysis comparing the results to the solutions from conventional finite element method. Isogeometric analysis is a numerical method that uses nonuniform rational B-splines (NURBS) as basis functions instead of the Lagrangian polynomials often used in the finite element method. These functions have a higher-order of continuity, making it possible to represent complex geometries exactly. After a brief outline of the theory behind the isogeometric concept, we give a presentation of the constitutive equations, used to simulate the soil behavior in this work. The paper concludes with numerical examples in two- and three-dimensions, which assess the accuracy of isogeometric analysis for simulations of soil behavior. The numerical examples presented show, that for drained soils, the results from isogeometric analysis are overall in good agreement with the conventional finite element method in two- and three-dimensions. Thus isogeometric analysis is a good alternative to conventional finite element analysis for simulations of soil behavior.}},
  author       = {{Spetz, Alex and Tudisco, Erika and Denzer, Ralf and Dahlblom, Ola}},
  issn         = {{2161-7546}},
  keywords     = {{Isogeometric Analysis; NURBS; Numerical Methods; Soil Plasticity}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{3}},
  pages        = {{96--116}},
  publisher    = {{Scientific Research Publishing (SCIRP)}},
  series       = {{Geomaterials}},
  title        = {{Isogeometric Analysis of Soil Plasticity}},
  url          = {{http://dx.doi.org/10.4236/gm.2017.73008}},
  doi          = {{10.4236/gm.2017.73008}},
  volume       = {{7}},
  year         = {{2017}},
}