Arbitrary discontinuities in finite elements

Arbitrary discontinuities in finite elements

A technique for modelling arbitrary discontinuities in finite elements is presented. Both discontinuities in the function and its derivatives are considered. Methods for intersecting and branching discontinuities are given. In all cases, the discontinuous approximation is constructed in terms of a s...

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Veröffentlicht in:International journal for numerical methods in engineering 2001-02, Vol.50 (4), p.993-1013
Hauptverfasser: Belytschko, T., Moës, N., Usui, S., Parimi, C.
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Sprache:eng
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Engineering Sciences
fasteners
finite elements
fracture
jointed rock
Materials
Mechanics
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container_issue 4
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container_title International journal for numerical methods in engineering
container_volume 50
creator Belytschko, T.
Moës, N.
Usui, S.
Parimi, C.
description A technique for modelling arbitrary discontinuities in finite elements is presented. Both discontinuities in the function and its derivatives are considered. Methods for intersecting and branching discontinuities are given. In all cases, the discontinuous approximation is constructed in terms of a signed distance functions, so level sets can be used to update the position of the discontinuities. A standard displacement Galerkin method is used for developing the discrete equations. Examples of the following applications are given: crack growth, a journal bearing, a non‐bonded circular inclusion and a jointed rock mass. Copyright © 2001 John Wiley & Sons, Ltd.
doi_str_mv 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M
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subjects Engineering Sciences
fasteners
finite elements
fracture
jointed rock
Materials
Mechanics
title Arbitrary discontinuities in finite elements
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