Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Almeida, J.P. Moitinho de (1958-....)
Maunder, Edward A. W. (1942-....)
Titre(s) : Equilibrium finite element formulations [Texte électronique] / J.P. Moitinho de Almeida, Edward A.W. Maunder
Publication : Chichester : John Wiley, copyright 2016
Description matérielle : 1 online resource
Note(s) : Notes bibliogr.
A comprehensive treatment of the theory and practice of equilibrium finite element
analysis in the context of solid and structural mechanics Equilibrium Finite Element
Formulations is an up to date exposition on hybrid equilibrium finite elements, which
are based on the direct approximation of the stress fields. The focus is on their
derivation and on the advantages that strong forms of equilibrium can have, either
when used independently or together with the more conventional displacement based
elements. These elements solve two important problems of concern to computational
structural mechanics: a rational basis for error estimation, which leads to bounds
on quantities of interest that are vital for verification of the output and provision
of outputs immediately useful to the engineer for structural design and assessment.
Key features: -Unique in its coverage of equilibrium - an essential reference work
for those seeking solutions that are strongly equilibrated. The approach is not widely
known, and should be of benefit to structural design and assessment.-Thorough explanations
of the formulations for: 2D and 3D continua, thick and thin bending of plates and
potential problems; covering mainly linear aspects of behaviour, but also with some
excursions into non-linearity.-Highly relevant to the verification of numerical solutions,
the basis for obtaining bounds of the errors is explained in detail.-Simple illustrative
examples are given, together with their physical interpretations.-The most relevant
issues regarding the computational implementation of this approach are presented.
When strong equilibrium and finite elements are to be combined, the book is a must-have
reference for postgraduate students, researchers in software development or numerical
analysis, and industrial practitioners who want to keep up to date with progress in
simulation tools
Sujet(s) : Éléments finis, Méthode des
Équilibre
Constructions, Théorie des
Indice(s) Dewey :
518.25 (23e éd.) = Analyse des éléments finis
Identifiants, prix et caractéristiques : ISBN 9781118926215. - ISBN 1118926218. - ISBN 9781118926208. - ISBN 111892620X. -
ISBN 9781118925782. - ISBN 1118925785. - ISBN 9781118424155 (erroné)
Identifiant de la notice : ark:/12148/cb45535195n
Notice n° :
FRBNF45535195
(notice reprise d'un réservoir extérieur)
Table des matières : Basic concepts by simple examples ; Equilibrium in other F.E. formulations ; Hybrid
equilibrium elements ; Analysis of the kinematic stability of hybrid equilibrium
elements ; Practical aspects of the kinematic stability of hybrid equilibrium elements
; A variational basis ; Recovery of complementary solutions ; Dual analyses for
error estimation & adaptivity ; Dynamic analyses ; Non-linear analyses.
