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Treatment of material discontinuities in finite element computations
Author(s) -
Mackin R. J.,
Carey G. F.
Publication year - 1987
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/nme.1620240209
Subject(s) - classification of discontinuities , finite element method , superconvergence , extended finite element method , interface (matter) , mixed finite element method , computation , convergence (economics) , smoothed finite element method , finite element limit analysis , boundary (topology) , flux (metallurgy) , constraint (computer aided design) , mathematical analysis , boundary knot method , mathematics , geometry , mechanics , structural engineering , boundary element method , materials science , physics , algorithm , engineering , bubble , maximum bubble pressure method , economics , metallurgy , economic growth
We consider finite element analysis of problems with discontinuous material coefficients. For applications in which the material interface crosses an element, we develop special elements with an embedded flux constraint at the interface. This new procedure is compared with the standard finite element method with interface coincident with the element boundary and with an existing method proposed by Steven. 1 Supporting numerical studies are conducted and rates of convergence for the solution and interface flux are examined. Some local superconvergence behaviour is observed.