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Curved composite boundary elements for Kirchhoff plate‐bending problems
Author(s) -
Silva Paul J.,
Mote C. D.
Publication year - 1988
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.1620260603
Subject(s) - boundary (topology) , bending , interpolation (computer graphics) , composite number , mathematics , boundary element method , bending of plates , finite element method , quintic function , geometry , regular polygon , composite plate , mathematical analysis , boundary value problem , structural engineering , physics , engineering , classical mechanics , algorithm , motion (physics) , quantum mechanics , nonlinear system
Composite boundary elements are formed for plate‐bending problems by attaching a circular sector to a triangle. Elements utilizing cubic and quintic interpolation are developed for convex and concave boundaries. Smaller error and less numerical effort result when triangular elements are replaced by the composite boundary elements on clamped and most simply supported convex, boundaries. For domains with concave boundaries, greater accuracy is obtained when the quintic composite boundary element replaces the triangular element in fine mesh configurations.