Isogeometric Analysis of Soil Plasticity
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a32bb7e6-5972-4084-b95d-f632bca496c1
- author
- Spetz, Alex LU ; Tudisco, Erika LU ; Denzer, Ralf LU and Dahlblom, Ola LU
- organization
- publishing date
- 2017-07-28
- 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}}, }