The Resource Finite element analysis of structures through unified formulation, Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino
Finite element analysis of structures through unified formulation, Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino
 Summary
 "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 onedimensional (beams), twodimensional (plates and shells) and threedimensional (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." 
 Language
 eng
 Extent
 1 online resource
 Contents

 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 FourIndex 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 ThreeDimensional FEM Formulation (Solid Elements)7.1 An EightNode Element Using Classical Matrix Notation; 7.2 Derivation of the Stiffness Matrix Using the Index Notation; 7.3 ThreeDimensional Numerical Integration; 7.4 Shape Functions; References; 8 OneDimensional Models with NthOrder 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 HigherOrder Models; 8.4 Governing Equations, FE Formulation and the FN; 8.5 Locking Phenomena; 8.6 Numerical Applications; References
 9 OneDimensional Models with a Physical Volume/SurfaceBased 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 Crosssection Elements; 9.4 Crosssection Multielements and Locally Refined Models; 9.5 Numerical Examples; 9.6 The ComponentWise Approach for Aerospace and Civil Engineering Applications; References; 10 TwoDimensional Plate Models with NthOrder Displacement Field, the Taylor Expansion Class
 Isbn
 9781119941217
 Label
 Finite element analysis of structures through unified formulation
 Title
 Finite element analysis of structures through unified formulation
 Statement of responsibility
 Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino
 Language
 eng
 Summary
 "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 onedimensional (beams), twodimensional (plates and shells) and threedimensional (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." 
 Assigning source
 Unedited summary from book
 Cataloging source
 DLC
 Dewey number
 518/.25
 Index
 index present
 LC call number
 QC20.7.F56
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Label
 Finite element analysis of structures through unified formulation, Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino
 Bibliography note
 Includes bibliographical references and index
 http://library.link/vocab/branchCode

 net
 Carrier category
 online resource
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type MARC source
 rdacontent
 Contents

 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 FourIndex 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 ThreeDimensional FEM Formulation (Solid Elements)7.1 An EightNode Element Using Classical Matrix Notation; 7.2 Derivation of the Stiffness Matrix Using the Index Notation; 7.3 ThreeDimensional Numerical Integration; 7.4 Shape Functions; References; 8 OneDimensional Models with NthOrder 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 HigherOrder Models; 8.4 Governing Equations, FE Formulation and the FN; 8.5 Locking Phenomena; 8.6 Numerical Applications; References
 9 OneDimensional Models with a Physical Volume/SurfaceBased 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 Crosssection Elements; 9.4 Crosssection Multielements and Locally Refined Models; 9.5 Numerical Examples; 9.6 The ComponentWise Approach for Aerospace and Civil Engineering Applications; References; 10 TwoDimensional Plate Models with NthOrder Displacement Field, the Taylor Expansion Class
 Control code
 ocn879553090
 Extent
 1 online resource
 Form of item
 online
 Isbn
 9781119941217
 Lccn
 2014018457
 Media category
 computer
 Media MARC source
 rdamedia
 http://library.link/vocab/recordID
 .b30563537
 Specific material designation
 remote
 System control number

 (OCoLC)879553090
 pebcs1118536649
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