Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Carrera, Erasmo (1961-....)
Titre(s) : Finite element analysis of structures through unified formulation [Texte électronique] / Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino
Publication : Chichester, West Sussex : Wiley, 2014
Description matérielle : 1 online resource
Note(s) : Includes bibliographical references and index. - Description based on print version record and CIP data provided by publisher.
"This book deals with the Finite Element Method for the analysis of elastic structures
such as beams, plates, shells and solids. The modern approach of Unified Formulation
(UF), as proposed by the lead author, deals with the consideration of one-dimensional
(beams), two-dimensional (plates and shells) and three-dimensional (solids) elements.
Applications are given for structures which are typically employed in civil, mechanical,
and aerospace engineering fields. Additional topics include mixed order elements,
extension to layered composite structures, and the analysis of multifield problems
involving mechanical, electrical and thermal loadings."
Autre(s) auteur(s) : Cinefra, Maria. Fonction indéterminée
Petrolo, Marco. Fonction indéterminée
Zappino, Enrico. Fonction indéterminée
Sujet(s) : Éléments finis, Méthode des
Indice(s) Dewey :
518.25 (23e éd.) = Analyse des éléments finis
Identifiants, prix et caractéristiques : ISBN 9781118536643
Identifiant de la notice : ark:/12148/cb446541606
Notice n° :
FRBNF44654160
(notice reprise d'un réservoir extérieur)
Table des matières : Titlepage; Copyright; About the Authors; Preface; Nomenclature and Acronyms; Symbols;
Acronyms; 1 Introduction; 1.1 What is in this Book; 1.2 The Finite Element Method;
1.3 Calculation of the Area of a Surface with a Complex Geometry via the FEM; 1.4
Elasticity of a Bar; 1.5 Stiffness Matrix of a Single Bar; 1.6 Stiffness Matrix of
a Bar via the PVD; 1.7 Truss Structures and Their Automatic Calculation by Means of
the FEM; 1.8 Example of a Truss Structure; 1.9 Outline of the Book Contents; Notes;
References; 2 Fundamental Equations of 3D Elasticity; 2.1 Equilibrium Conditions
2.2 Geometrical Relations2.3 Hooke's Law; 2.4 Displacement Formulation; Notes; Further
Reading; 3 From 3D Problems to 2D and 1D Problems: Theories for Beams, Plates and
Shells; 3.1 Typical Structures; 3.2 Axiomatic Method; 3.3 Asymptotic Method; Note;
Further Reading; 4 Typical FE Governing Equations and Procedures; 4.1 Static Response
Analysis; 4.2 Free Vibration Analysis; 4.3 Dynamic Response Analysis; References;
5 Introduction to the Unified Formulation; 5.1 Stiffness Matrix of a Bar and the Related
FN; 5.2 Case of a Bar Element with Internal Nodes
5.3 Combination of the FEM and the Theory of Structure Approximations: A Four-Index
FN and the CUF5.4 CUF Assembly Technique; 5.5 CUF as a Unique Approach for 1D, 2D
and 3D Structures; 5.6 Literature Review of the CUF; Notes; References; 6 The Displacement
Approach via the PVD and FN for 1D, 2D and 3D Elements; 6.1 Strong Form of the Equilibrium
Equations via the PVD; 6.2 Weak Form of the Solid Model Using the PVD; 6.3 Weak Form
of a Solid Element Using Index Notation; 6.4 FN for 1D, 2D and 3D Problems in Unique
Form; 6.5 CUF at a Glance; Notes; References
7 Three-Dimensional FEM Formulation (Solid Elements)7.1 An Eight-Node Element Using
Classical Matrix Notation; 7.2 Derivation of the Stiffness Matrix Using the Index
Notation; 7.3 Three-Dimensional Numerical Integration; 7.4 Shape Functions; References;
8 One-Dimensional Models with Nth-Order Displacement Field, the Taylor Expansion Class;
8.1 Classical Models and the Complete Linear Expansion Case; 8.2 EBBT, TBT and N =
1 in Unified Form; 8.3 CUF for Higher-Order Models; 8.4 Governing Equations, FE Formulation
and the FN; 8.5 Locking Phenomena; 8.6 Numerical Applications; References
9 One-Dimensional Models with a Physical Volume/Surface-Based Geometry and Pure Displacement
Variables, the Lagrange Expansion Class9.1 Physical Volume/Surface Approach; 9.2 Lagrange
Polynomials and Isoparametric Formulation; 9.3 LE Displacement Fields and Cross-section
Elements; 9.4 Cross-section Multi-elements and Locally Refined Models; 9.5 Numerical
Examples; 9.6 The Component-Wise Approach for Aerospace and Civil Engineering Applications;
References; 10 Two-Dimensional Plate Models with Nth-Order Displacement Field, the
Taylor Expansion Class
