Adaptive coupling of the finite-element and scaled boundary finite-element methods for non-linear analysis of unbounded media

James Doherty, Andrew Deeks

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A technique is developed for analysing elasto-plastic unbounded media by adaptively coupling the finite-element method with the scaled boundary finite-element method. The analysis begins with a finite-element mesh that tightly encloses the load-medium interface, capturing non-linearity in the very near field. The remainder of the problem is modelled accurately and efficiently using the semi-analytical scaled boundary finite-element method. Load increments are applied in the usual (finite-element) way and the plastic stress field grows outwards from the load-medium interface as the solution advances. If plasticity is detected at a Gauss point in the outer band of finite-elements, an additional band of finite-elements are added around the perimeter of the existing mesh and the scaled boundary finite-element domain is stepped out accordingly. This technique exploits the most attractive features of both the finite-element and scaled boundary finite-element methods. The technique is shown to be highly accurate and both user and computationally efficient. (c) 2005 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)436-444
JournalComputers and Geotechnics
Volume32
Issue number6
DOIs
Publication statusPublished - 2005

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Nonlinear analysis
finite element method
Finite element method
plastic
Plastics
nonlinearity
stress field
Plasticity
plasticity
Loads (forces)
analysis

Cite this

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title = "Adaptive coupling of the finite-element and scaled boundary finite-element methods for non-linear analysis of unbounded media",
abstract = "A technique is developed for analysing elasto-plastic unbounded media by adaptively coupling the finite-element method with the scaled boundary finite-element method. The analysis begins with a finite-element mesh that tightly encloses the load-medium interface, capturing non-linearity in the very near field. The remainder of the problem is modelled accurately and efficiently using the semi-analytical scaled boundary finite-element method. Load increments are applied in the usual (finite-element) way and the plastic stress field grows outwards from the load-medium interface as the solution advances. If plasticity is detected at a Gauss point in the outer band of finite-elements, an additional band of finite-elements are added around the perimeter of the existing mesh and the scaled boundary finite-element domain is stepped out accordingly. This technique exploits the most attractive features of both the finite-element and scaled boundary finite-element methods. The technique is shown to be highly accurate and both user and computationally efficient. (c) 2005 Elsevier Ltd. All rights reserved.",
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Adaptive coupling of the finite-element and scaled boundary finite-element methods for non-linear analysis of unbounded media. / Doherty, James; Deeks, Andrew.

In: Computers and Geotechnics, Vol. 32, No. 6, 2005, p. 436-444.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Adaptive coupling of the finite-element and scaled boundary finite-element methods for non-linear analysis of unbounded media

AU - Doherty, James

AU - Deeks, Andrew

PY - 2005

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AB - A technique is developed for analysing elasto-plastic unbounded media by adaptively coupling the finite-element method with the scaled boundary finite-element method. The analysis begins with a finite-element mesh that tightly encloses the load-medium interface, capturing non-linearity in the very near field. The remainder of the problem is modelled accurately and efficiently using the semi-analytical scaled boundary finite-element method. Load increments are applied in the usual (finite-element) way and the plastic stress field grows outwards from the load-medium interface as the solution advances. If plasticity is detected at a Gauss point in the outer band of finite-elements, an additional band of finite-elements are added around the perimeter of the existing mesh and the scaled boundary finite-element domain is stepped out accordingly. This technique exploits the most attractive features of both the finite-element and scaled boundary finite-element methods. The technique is shown to be highly accurate and both user and computationally efficient. (c) 2005 Elsevier Ltd. All rights reserved.

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