06086cam a2200721 i 4500 ocn879553090 OCoLC 20171030102825.0 m o d cr ||||||||||| 140509s2014 enk ob 001 0 eng 2014018457 9781118536650 (ePub) 1118536657 (ePub) 9781118536667 (Adobe PDF) 1118536665 (Adobe PDF) 9781119941217 (cloth) 9781118536643 (electronic bk.) 1118536649 (electronic bk.) 1119941210 9781119941217 NZ1 15753444 NZ1 15906973 CHVBK 334092140 CHBIS 010442162 DEBBG BV043396761 (OCoLC)879553090 (OCoLC)929525119 (OCoLC)932331168 (OCoLC)961578098 (OCoLC)962611349 DLC eng rda DLC YDX N$T E7B DG1 OCLCF YDXCP COO EBLCP B24X7 DEBBG pcc MAIN QC20.7.F56 MAT 041000 bisacsh 518/.25 23 Carrera, Erasmo. Finite element analysis of structures through unified formulation / Erasmo Carrera, Maria Cinefra, Marco Petrolo, Enrico Zappino. [electronic resource] Chichester, West Sussex : Wiley, 2014. 1 online resource. text rdacontent computer rdamedia online resource rdacarrier Includes bibliographical references and index. 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 "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." -- Unedited summary from book. Description based on print version record and CIP data provided by publisher. Finite element method. Numerical analysis. MATHEMATICS / Numerical Analysis bisacsh Finite element method. fast (OCoLC)fst00924897 Numerical analysis. fast (OCoLC)fst01041273 Numerical analysis. Electronic books. Electronic books. Cinefra, Maria. Petrolo, Marco. Zappino, Enrico. Print version: Carrera, Erasmo. Finite element analysis of structures through unified formulation Chichester, West Sussex : John Wiley & Sons, Inc., 2014 9781119941217 (DLC) 2014013805 http://onlinelibrary.wiley.com/book/10.1002/9781118536643 Wiley Online Library ddc BK 207435 207435