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Arbitrary discontinuities in finite elements
Author(s) -
Belytschko T.,
Moës N.,
Usui S.,
Parimi C.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010210)50:4<993::aid-nme164>3.0.co;2-m
Subject(s) - classification of discontinuities , displacement (psychology) , mathematics , function (biology) , position (finance) , finite element method , galerkin method , mathematical analysis , geometry , structural engineering , engineering , psychology , finance , evolutionary biology , economics , psychotherapist , biology
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.