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Substructured macro elements based on locally blended interpolation
Author(s) -
Cavendish James C.,
Gordon William J.,
Hall Charles A.
Publication year - 1977
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.1620110906
Subject(s) - macro , finite element method , interpolation (computer graphics) , class (philosophy) , gravitational singularity , idealization , computer science , reduction (mathematics) , mathematics , construct (python library) , point (geometry) , algebra over a field , computational science , mathematical optimization , structural engineering , engineering , mathematical analysis , geometry , pure mathematics , programming language , artificial intelligence , classical mechanics , image (mathematics) , physics
Abstract In this paper we describe a new class of locally refined macro finite elements which are especially amenable to the use of substructuring techniques for the efficient solution of the resulting idealization. The tools and guidelines illustrated by the examples of modelling crack tips, point load singularities and singularities at re‐entrant corners should enable an analyst to construct other such blended macro elements specifically tailored to his particular class of problems. The use of such substructured macro elements in finite element calculations permits substantial reduction in the manual effort of data preparation and the computational cost of numerical solution.