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Introduction to the Finite Element Method 4E
Specificaties
Gebonden, blz. | Engels
McGraw-Hill Education | 4e druk, 2018
ISBN13: 9781259861901
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Juridisch :
McGraw-Hill Education 4e druk, 2018 9781259861901
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An up-to-date, self-contained introduction to the theory and applications of the finite element method

This thoroughly revised classic engineering textbook offers a broad-based overview of the finite element method. Written by a world-renowned mechanical engineering researcher and author, the book shows, step-by-step, how to calculate numerical solutions to steady-state as well as time-dependent problems. You also get detailed problems with worked-out solutions and downloadable programs that can be used and modified for real-world situations. Special attention is paid to applications that are important in bioengineering, fluid and thermal sciences, structural mechanics, and a host of applied sciences.

Introduction to the Finite Element Method, Fourth Edition, covers:
• Mathematical preliminaries and classical variational methods
• 1-D finite element models of second-order differential equations
• Applications to 1-D heat transfer and fluid and solid mechanics problems
• Finite element analysis of beams and circular plates
• Plane trusses and frames
• Eigenvalue and time-dependent problems in 1-D
• Numerical integration and computer implementation in 1-D
• Single-variable problems in two dimensions
• 2-D interpolation functions, numerical integration, and computer implementation in 2-D
• Flows of viscous incompressible fluids
• Plane elasticity
• 3-D finite element analysis

Specificaties

ISBN13:9781259861901
Taal:Engels
Bindwijze:gebonden
Uitgever:McGraw-Hill Education
Druk:4

Inhoudsopgave

1 General Introduction&nbsp;<br/>1.1 Background<br/>1.2 Mathematical Model Development&nbsp;<br/>1.3 Numerical Simulations&nbsp;<br/>1.4 The Finite Element Method<br/>1.5 The Present Study&nbsp;<br/>1.6 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading&nbsp;<br/><br><br/>2 Mathematical Preliminaries and Classical Variational Methods<br/>2.1 General Introduction&nbsp;<br/>2.2 Some Mathematical Concepts and Formulae<br/>2.3 Energy and Virtual Work Principles&nbsp;<br/>2.4 Integral Formulations of Differential Equations<br/>2.5 Variational Methods<br/>2.6 Equations of Continuum Mechanics<br/>2.7 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading<br/><br><br/>3 1-D Finite Element Models of Second-Order Differential Equations<br/>3.1 Introduction&nbsp;<br/>3.2 Finite Element Analysis Steps&nbsp;<br/>3.3 Finite Element Models of Discrete Systems<br/>3.4 Finite Element Models of Continuous Systems<br/>3.5 Axisymmetric Problems<br/>3.6 Errors in Finite Element Analysis&nbsp;<br/>3.7 Summary&nbsp;<br/>Problems<br/>References for Additional Reading&nbsp;<br/><br><br/>4 Applications to 1-D Heat Transfer and Fluid and Solid<br/>Mechanics Problems&nbsp;<br/>4.1 Preliminary Comments&nbsp;<br/>4.2 Heat Transfer&nbsp;<br/>4.3 Fluid Mechanics<br/>4.4 Solid and Structural Mechanics&nbsp;<br/>4.5 Summary&nbsp;<br/>Problems<br/>References for Additional Reading<br/><br><br/>5 Finite Element Analysis of Beams and Circular Plates&nbsp;<br/>5.1 Introduction&nbsp;<br/>5.2 Euler–Bernoulli Beam Element&nbsp;<br/>5.3 Timoshenko Beam Elements<br/>5.4 Axisymmetric Bending of Circular Plates&nbsp;<br/>5.5 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading&nbsp;<br/><br><br/>6 Plane Trusses and Frames&nbsp;<br/>6.1 Introduction&nbsp;<br/>6.2 Analysis of Trusses&nbsp;<br/>6.3 Analysis of Plane Frame Structures<br/>6.4 Inclusion of Constraint Conditions&nbsp;<br/>6.5 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading&nbsp;<br/><br><br/>7 Eigenvalue and Time-Dependent Problems in 1-D&nbsp;<br/>7.1 Introduction&nbsp;<br/>7.2 Equations of Motion&nbsp;<br/>7.3 Eigenvalue Problems&nbsp;<br/>7.4 Transient Analysis<br/>7.5 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading<br/><br><br/>8 Numerical Integration and Computer Implementation&nbsp;<br/>8.1 Introduction&nbsp;<br/>8.2 Numerical Integration&nbsp;<br/>8.3 Computer Implementation&nbsp;<br/>8.4 Applications of Program FEM1D&nbsp;<br/>8.5 Summary&nbsp;<br/>Problems<br/>References for Additional Reading&nbsp;<br/><br><br/>9 Single-Variable Problems in Two Dimensions&nbsp;<br/>9.1 Introduction&nbsp;<br/>9.2 Boundary Value Problems&nbsp;<br/>9.3 Modeling Considerations&nbsp;<br/>9.4 Numerical Examples&nbsp;<br/>9.5 Eigenvalue and Time-Dependent Problems<br/>9.6 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading&nbsp;<br/><br><br/>10 2-D Interpolation Functions, Numerical Integration, and Computer Implementation&nbsp;<br/>10.1 Introduction&nbsp;<br/>10.2 2-D Element Library<br/>10.3 Numerical Integration&nbsp;<br/>10.4 Modeling Considerations&nbsp;<br/>10.5 Computer Implementation and FEM2D<br/>10.6 Summary<br/>Problems<br/>References for Additional Reading<br/><br><br/>11 Flows of Viscous Incompressible Fluids<br/>11.1 Introduction<br/>11.2 Governing Equations<br/>11.3 Velocity–Pressure Formulation<br/>11.4 Penalty Function Formulation&nbsp;<br/>11.5 Computational Aspects&nbsp;<br/>11.6 Numerical Examples&nbsp;<br/>11.7 Summary&nbsp;<br/>Problems&nbsp;<br/>References for Additional Reading<br/><br><br/>12 Plane Elasticity&nbsp;<br/>12.1 Introduction<br/>12.2 Governing Equations&nbsp;<br/>12.3 Virtual Work and Weak Formulations<br/>12.4 Finite Element Model&nbsp;<br/>12.5 Elimination of Shear Locking in Linear Elements<br/>12.6 Numerical Examples&nbsp;<br/>12.7 Summary<br/>Problems&nbsp;<br/>References for Additional Reading&nbsp;<br/><br><br/>13 3-D Finite Element Analysis&nbsp;<br/>13.1 Introduction&nbsp;<br/>13.2 Heat Transfer<br/>13.3 Flows of Viscous Incompressible Fluids&nbsp;<br/>13.4 Elasticity&nbsp;<br/>13.5 Element Interpolation Functions and Numerical Integration&nbsp;<br/>13.6 Numerical Examples<br/>13.7 Summary&nbsp;<br/>Problems<br/>References for Additional Reading&nbsp;<br/><br><br/>Index<br/>

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