Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua

In this paper, we revisit the capability of numerical approaches such as finite difference methods and finite element methods, in approximating exact one-dimensional continuous eigenvalue problems (such as lateral vibrations of a string, the axial or the torsional vibrations of a bar, and the buckli...

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Bibliographic Details
Published in:	European journal of mechanics, A, Solids Vol. 53; pp. 107 - 120
Main Authors:	Challamel, Noël, Picandet, Vincent, Collet, Bernard, Michelitsch, Thomas, Elishakoff, Isaac, Wang, C.M.
Format:	Journal Article
Language:	English
Published:	Elsevier Masson SAS 01.09.2015 Elsevier
Subjects:	Acoustics Biomechanics Eigenvalues Enriched continuum Enrichment Equivalence Finite difference method Finite element method Mathematical analysis Mathematical models Mechanics Media Method of differential approximation Numerical eigenvalue problems Physics Enriched continuum Numerical eigenvalue problems Method of differential approximation
ISSN:	0997-7538, 1873-7285
Online Access:	Get full text
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