{"product_id":"fundamental-finite-element-analysis-and-applications-9780471648086","title":"Fundamental Finite Element Analysis and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003ci\u003e*Finite Element Analysis with Mathematica and Matlab Computations and Practical Applications\u003c\/i\u003e is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method.  \u003cp\u003e*Support website (www.wiley.com\/go\/bhatti) includes complete sets of Mathematica and Matlab implementations for all examples presented in the text. Also included on the site are problems designed for self-directed labs using commercial FEA software packages ANSYS and ABAQUS.\u003c\/p\u003e \u003cp\u003e*Offers a practical and hands-on approach while providing a solid theoretical foundation.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"The book is an innovative, hands-on and practical introduction to the nite element method that provides a powerful tool for learning this essential analytic method.\" (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2016)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.  \u003cp\u003e\u003cb\u003e1. Finite Element Method: The Big Picture.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Discretization and Element Equations.\u003c\/p\u003e \u003cp\u003e1.1.1 Plane Truss Element.\u003c\/p\u003e \u003cp\u003e1.1.2 Triangular Element for Two Dimensional Heat Flow.\u003c\/p\u003e \u003cp\u003e1.1.3 General Remarks on Finite Element Discretization.\u003c\/p\u003e \u003cp\u003e1.1.4 Triangular Element for Two Dimensional Stress Analysis.\u003c\/p\u003e \u003cp\u003e1.2 Assembly of Element Equations.\u003c\/p\u003e \u003cp\u003e1.3 Boundary Conditions and Nodal Solution.\u003c\/p\u003e \u003cp\u003e1.3.1 Essential Boundary Conditions by Re-arranging Equations.\u003c\/p\u003e \u003cp\u003e1.3.2 Essential Boundary Conditions by Modifying Equations.\u003c\/p\u003e \u003cp\u003e1.3.3 Approximate Treatment of Essential Boundary Conditions.\u003c\/p\u003e \u003cp\u003e1.3.4 Computation of Reactions to Verify Overall Equilibrium.\u003c\/p\u003e \u003cp\u003e1.4 Element Solutions and Model Validity.\u003c\/p\u003e \u003cp\u003e1.4.1 Plane Truss Element.\u003c\/p\u003e \u003cp\u003e1.4.2 Triangular Element for Two Dimensional Heat Flow.\u003c\/p\u003e \u003cp\u003e1.4.3 Triangular Element for Two Dimensional Stress Analysis.\u003c\/p\u003e \u003cp\u003e1.5 Solution of Linear Equations.\u003c\/p\u003e \u003cp\u003e1.5.1 Solution Using Choleski Decomposition.\u003c\/p\u003e \u003cp\u003e1.5.2 Conjugate Gradient Method.\u003c\/p\u003e \u003cp\u003e1.6 Multipoint Constraints.\u003c\/p\u003e \u003cp\u003e1.6.1 Solution Using Lagrange multipliers.\u003c\/p\u003e \u003cp\u003e1.6.2 Solution Using Penalty function.\u003c\/p\u003e \u003cp\u003e1.7 Units.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Mathematical Foundation of the Finite Element Method.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Axial Deformation of Bars.\u003c\/p\u003e \u003cp\u003e2.1.1 Differential equation for axial deformations.\u003c\/p\u003e \u003cp\u003e2.1.2 Exact solutions of some axial deformation problems.\u003c\/p\u003e \u003cp\u003e2.2 Axial Deformation of Bars Using Galerkin Method.\u003c\/p\u003e \u003cp\u003e2.2.1 Weak form for axial deformations.\u003c\/p\u003e \u003cp\u003e2.2.2 Uniform bar subjected to linearly varying axial load.\u003c\/p\u003e \u003cp\u003e2.2.3 Tapered bar subjected to linearly varying axial load.\u003c\/p\u003e \u003cp\u003e2.3 One Dimensional BVP Using Galerkin Method.\u003c\/p\u003e \u003cp\u003e2.3.1 Overall solution procedure using Galerkin method.\u003c\/p\u003e \u003cp\u003e2.3.2 Higher-Order Boundary Value Problems.\u003c\/p\u003e \u003cp\u003e2.4 Rayleigh-Ritz Method.\u003c\/p\u003e \u003cp\u003e2.4.1 Potential Energy for Axial Deformation of Bars.\u003c\/p\u003e \u003cp\u003e2.4.2 Overall solution procedure using the Rayleigh-Ritz method.\u003c\/p\u003e \u003cp\u003e2.4.3 Uniform bar subjected to linearly varying axial load.\u003c\/p\u003e \u003cp\u003e2.4.4 Tapered bar subjected to linearly varying axial load.\u003c\/p\u003e \u003cp\u003e2.5 Comments on the Galerkin \u0026amp; the Rayleigh-Ritz Methods.\u003c\/p\u003e \u003cp\u003e2.5.1 Admissible assumed solution.\u003c\/p\u003e \u003cp\u003e2.5.2 Solution convergence - the completeness requirement.\u003c\/p\u003e \u003cp\u003e2.5.3 Galerkin versus Rayleigh-Ritz.\u003c\/p\u003e \u003cp\u003e2.6 Finite Element Form of Assumed Solutions.\u003c\/p\u003e \u003cp\u003e2.6.1 Linear interpolation functions for second-order problems.\u003c\/p\u003e \u003cp\u003e2.6.2 Lagrange interpolation.\u003c\/p\u003e \u003cp\u003e2.6.3 Galerkin weighting functions in the finite element form.\u003c\/p\u003e \u003cp\u003e2.6.4 Hermite interpolation for fourth-order problems.\u003c\/p\u003e \u003cp\u003e2.7 Finite Element Solution of Axial Deformation Problems.\u003c\/p\u003e \u003cp\u003e2.7.1 Two Node Uniform Bar Element for Axial Deformations.\u003c\/p\u003e \u003cp\u003e2.7.2 Numerical examples.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. One Dimensional Boundary Value Problem.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Selected Applications of 1D BVP.\u003c\/p\u003e \u003cp\u003e3.1.1 Steady state heat conduction.\u003c\/p\u003e \u003cp\u003e3.1.2 Heat flow through thin fins.\u003c\/p\u003e \u003cp\u003e3.1.3 Viscous fluid flow between parallel plates - Lubrication problem.\u003c\/p\u003e \u003cp\u003e3.1.4 Slider bearing.\u003c\/p\u003e \u003cp\u003e3.1.5 Axial deformation of bars.\u003c\/p\u003e \u003cp\u003e3.1.6 Elastic buckling of long slender bars.\u003c\/p\u003e \u003cp\u003e3.2 Finite Element Formulation for Second Order 1D BVP\u003c\/p\u003e \u003cp\u003e3.2.1 Complete Solution Procedure.\u003c\/p\u003e \u003cp\u003e3.3 Steady State Heat Conduction.\u003c\/p\u003e \u003cp\u003e3.4 Steady State Heat Conduction and Convection.\u003c\/p\u003e \u003cp\u003e3.5 Viscous Fluid Flow Between Parallel Plates.\u003c\/p\u003e \u003cp\u003e3.6 Elastic Buckling of Bars.\u003c\/p\u003e \u003cp\u003e3.7 Solution of Second Order 1D BVP.\u003c\/p\u003e \u003cp\u003e3.8 A Closer Look at the Inter-Element Derivative Terms.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Trusses, Beams, and Frames.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Plane Trusses.\u003c\/p\u003e \u003cp\u003e4.2 Space Trusses.\u003c\/p\u003e \u003cp\u003e4.3 Temperature Changes and Initial Strains in Trusses.\u003c\/p\u003e \u003cp\u003e4.4 Spring Elements.\u003c\/p\u003e \u003cp\u003e4.5 Transverse Deformation of Beams.\u003c\/p\u003e \u003cp\u003e4.5.1 Differential equation for beam bending.\u003c\/p\u003e \u003cp\u003e4.5.2 Boundary conditions for beams.\u003c\/p\u003e \u003cp\u003e4.5.3 Shear stresses beams.\u003c\/p\u003e \u003cp\u003e4.5.4 Potential energy for beam bending.\u003c\/p\u003e \u003cp\u003e4.5.5 Transverse deformation of a uniform beam.\u003c\/p\u003e \u003cp\u003e4.5.6 Transverse deformation of a tapered beam fixed at both ends.\u003c\/p\u003e \u003cp\u003e4.6 Two Node Beam Element.\u003c\/p\u003e \u003cp\u003e4.6.1 Cubic assumed solution.\u003c\/p\u003e \u003cp\u003e4.6.2 Element equations using Rayleigh-Ritz method.\u003c\/p\u003e \u003cp\u003e4.7 Uniform Beams Subjected to Distributed Loads.\u003c\/p\u003e \u003cp\u003e4.8 Plane Frames.\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003e4.9 Space Frames.\u003c\/p\u003e \u003cp\u003e4.9.1 Element equations in local coordinate system.\u003c\/p\u003e \u003cp\u003e4.9.2 Local to global transformation.\u003c\/p\u003e \u003cp\u003e4.9.3 Element Solution.\u003c\/p\u003e \u003cp\u003e4.10 Frames in Multistory Buildings.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Two Dimensional Elements.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Selected Applications of the 2D BVP.\u003c\/p\u003e \u003cp\u003e5.1.1 Two dimensional potential flow.\u003c\/p\u003e \u003cp\u003e5.1.2 Steady-state heat flow.\u003c\/p\u003e \u003cp\u003e5.1.3 Bars subjected to torsion.\u003c\/p\u003e \u003cp\u003e5.1.4 Waveguides in Electromagnetics.\u003c\/p\u003e \u003cp\u003e5.2 Integration by Parts in Higher Dimensions.\u003c\/p\u003e \u003cp\u003e5.3 Finite Element Equations Using the Galerkin Method.\u003c\/p\u003e \u003cp\u003e5.4 Rectangular Finite Elements.\u003c\/p\u003e \u003cp\u003e5.4.1 Four node rectangular element.\u003c\/p\u003e \u003cp\u003e5.4.2 Eight node rectangular element.\u003c\/p\u003e \u003cp\u003e5.4.3 Lagrange interpolation for rectangular elements.\u003c\/p\u003e \u003cp\u003e5.5 Triangular Finite Elements.\u003c\/p\u003e \u003cp\u003e5.5.1 Three node triangular element.\u003c\/p\u003e \u003cp\u003e5.5.2 Higher-order triangular elements.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Mapped Elements.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Integration Using Change of Variables.\u003c\/p\u003e \u003cp\u003e6.1.1 One dimensional integrals.\u003c\/p\u003e \u003cp\u003e6.1.2 Two dimensional area integrals.\u003c\/p\u003e \u003cp\u003e6.1.3 Three dimensional volume integrals.\u003c\/p\u003e \u003cp\u003e6.2 Mapping Quadrilaterals Using Interpolation Functions.\u003c\/p\u003e \u003cp\u003e6.2.1 Mapping lines.\u003c\/p\u003e \u003cp\u003e6.2.2 Mapping quadrilateral areas.\u003c\/p\u003e \u003cp\u003e6.2.3 Mapped mesh generation.\u003c\/p\u003e \u003cp\u003e6.3 Numerical Integration Using Gauss Quadrature.\u003c\/p\u003e \u003cp\u003e6.3.1 Gauss quadrature for one dimensional integrals.\u003c\/p\u003e \u003cp\u003e6.3.2 Gauss quadrature for area integrals.\u003c\/p\u003e \u003cp\u003e6.3.3 Gauss quadrature for volume integrals.\u003c\/p\u003e \u003cp\u003e6.4 Finite Element Computations Involving Mapped Elements. \u003c\/p\u003e \u003cp\u003e6.4.1 Assumed solution.\u003c\/p\u003e \u003cp\u003e6.4.2 Derivatives of the assumed solution.\u003c\/p\u003e \u003cp\u003e6.4.3 Evaluation of area integrals.\u003c\/p\u003e \u003cp\u003e6.4.4 Evaluation of boundary integrals.\u003c\/p\u003e \u003cp\u003eFundamental Finite Element Theory and Applications.\u003c\/p\u003e \u003cp\u003e6.5 Complete Mathematica and Matlab Based Solutions of 2DBVP Involving Mapped.\u003c\/p\u003e \u003cp\u003eElements.\u003c\/p\u003e \u003cp\u003e6.6 Triangular Elements by Collapsing Quadrilaterals.\u003c\/p\u003e \u003cp\u003e6.7 Infinite Elements.\u003c\/p\u003e \u003cp\u003e6.7.1 One dimensional BVP.\u003c\/p\u003e \u003cp\u003e6.7.2 Two dimensional BVP.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Analysis of Elastic Solids.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Fundamental Concepts in Elasticity.\u003c\/p\u003e \u003cp\u003e7.1.1 Stresses.\u003c\/p\u003e \u003cp\u003e7.1.2 Stress failure criteria.\u003c\/p\u003e \u003cp\u003e7.1.3 Strains.\u003c\/p\u003e \u003cp\u003e7.1.4 Constitutive equations.\u003c\/p\u003e \u003cp\u003e7.1.5 Temperature effects and initial strains.\u003c\/p\u003e \u003cp\u003e7.2 Governing Differential Equations.\u003c\/p\u003e \u003cp\u003e7.2.1 Stress equilibrium equations.\u003c\/p\u003e \u003cp\u003e7.2.2 Governing differential equations in terms of displacements.\u003c\/p\u003e \u003cp\u003e7.3 General Form of Finite Element Equations.\u003c\/p\u003e \u003cp\u003e7.3.1 Potential energy functional.\u003c\/p\u003e \u003cp\u003e7.3.2 Weak form.\u003c\/p\u003e \u003cp\u003e7.3.3 Finite Element Equations.\u003c\/p\u003e \u003cp\u003e7.3.4 Finite Element Equations in the Presence of Initial Strains.\u003c\/p\u003e \u003cp\u003e7.4 Plane Stress and Plane Strain.\u003c\/p\u003e \u003cp\u003e7.4.1 Plane stress problem.\u003c\/p\u003e \u003cp\u003e7.4.2 Plane strain problem.\u003c\/p\u003e \u003cp\u003e7.4.3 Finite element equations.\u003c\/p\u003e \u003cp\u003e7.4.4 Three node triangular element.\u003c\/p\u003e \u003cp\u003e7.4.5 Mapped quadrilateral elements.\u003c\/p\u003e \u003cp\u003e7.5 Planar Finite Element Models.\u003c\/p\u003e \u003cp\u003e7.5.1 Pressure Vessels.\u003c\/p\u003e \u003cp\u003e7.5.2 Rotating Disks and Flywheels.\u003c\/p\u003e \u003cp\u003e7.5.3 Residual Stresses due to Welding.\u003c\/p\u003e \u003cp\u003e7.5.4 Crack-Tip Singularity.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Transient Problems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Transient Field Problems.\u003c\/p\u003e \u003cp\u003e8.1.1 Finite element equations.\u003c\/p\u003e \u003cp\u003e8.1.2 Triangular element.\u003c\/p\u003e \u003cp\u003e8.1.3 Transient heat flow.\u003c\/p\u003e \u003cp\u003e8.2 Elastic Solids Subjected to Dynamic Loads.\u003c\/p\u003e \u003cp\u003e8.2.1 Finite Element Equations.\u003c\/p\u003e \u003cp\u003e8.2.2 Mass matrices for common structural elements.\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003e8.2.3 Free Vibration Analysis.\u003c\/p\u003e \u003cp\u003e8.2.4 Transient Response Examples.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. \u003ci\u003ep\u003c\/i\u003e-Formulation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 \u003ci\u003ep-\u003c\/i\u003eForm\u003ci\u003ep\u003c\/i\u003eulation for Second-Order 1D BVP.\u003c\/p\u003e \u003cp\u003e9.2 \u003ci\u003ep\u003c\/i\u003e-Form\u003ci\u003ep\u003c\/i\u003eulation for Second-Order 2D BVP.\u003c\/p\u003e \u003cp\u003eAppendix A: Use of Commercial FEA Software.\u003c\/p\u003e \u003cp\u003eA.1 Ansys Applications.\u003c\/p\u003e \u003cp\u003eA.1.1 General Steps.\u003c\/p\u003e \u003cp\u003eA.1.2 Truss Analysis.\u003c\/p\u003e \u003cp\u003eA.1.3 Steady-State Heat Flow.\u003c\/p\u003e \u003cp\u003eA.1.4 Plane Stress Analysis.\u003c\/p\u003e \u003cp\u003eA.2 Optimizing Design Using Ansys.\u003c\/p\u003e \u003cp\u003eA.2.1 General Steps.\u003c\/p\u003e \u003cp\u003eA.2.2 Heat Flow example.\u003c\/p\u003e \u003cp\u003eA.3 Abaqus Applications.\u003c\/p\u003e \u003cp\u003eA.3.1 Execution procedure.\u003c\/p\u003e \u003cp\u003eA.3.2 Truss Analysis.\u003c\/p\u003e \u003cp\u003eA.3.3 Steady State Heat Flow.\u003c\/p\u003e \u003cp\u003eA.3.4 Plane Stress Analysis.\u003c\/p\u003e \u003cp\u003eAppendix B: Variational Form for Boundary Value Problems.\u003c\/p\u003e \u003cp\u003eB.1 Basic concept of variation of a function.\u003c\/p\u003e \u003cp\u003eB.2 Derivation of Equivalent Variational Form.\u003c\/p\u003e \u003cp\u003eB.3 Boundary Value Problem Corresponding to a Given Functional.\u003c\/p\u003e \u003cp\u003eBibliography.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49525406335319,"sku":"9780471648086","price":135.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471648086.jpg?v=1731860395","url":"https:\/\/bookcurl.com\/products\/fundamental-finite-element-analysis-and-applications-9780471648086","provider":"Book Curl","version":"1.0","type":"link"}