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Finite elements for analysis and design : computational mathematics and applications series.
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9780080506470
9780120476541
Author
Akin, J. E.
Title
Finite elements for analysis and design : : computational mathematics and applications series.
Description
1 online resource (563 pages)
Contents
Finite Elements for Analysis and Design -- Copyright Page -- Table of Contents -- Preface -- Chapter 1. Introduction -- 1.1 Finite Element Methods -- 1.2 Capabilities of FEA -- 1.3 Outline of Finite Element Procedures -- 1.4 Optimization Concepts -- 1.5 References -- Chapter 2. Mathematical Preliminaries -- 2.1 Introduction -- 2.2 Linear Spaces and Norms -- 2.3 Sobolev Norms -- 2.4 Self-Adjointness -- 2.5 Weighted Residuals -- 2.6 Essential Boundary Conditions -- 2.7 Elliptic Boundary Value Problems -- 2.8 References -- Chapter 3. Variational Methods -- 3.1 Introduction -- 3.2 Structural Mechanics -- 3.3 Finite Element Analysis -- 3.4 Continuous Elastic Bar -- 3.5 Flux Recovery for an Element -- 3.6 Thermal Loads on a Bar -- 3.7 Heat Transfer in a Rod -- 3.8 Gradient Estimates -- 3.9 Element Validation -- 3.10 Element Distortion -- 3.11 Euler's Equations of Variational Calculus -- 3.12 System Validation -- 3.13 References -- Chapter 4. Element Interpolation and Local Coordinates -- 4.1 Introduction -- 4.2 Linear Interpolation -- 4.3 Quadratic Interpolation -- 4.4 Lagrange Interpolation -- 4.5 Hermitian Interpolation -- 4.6 Hierarchical Interpolation -- 4.7 Interpolation Error -- 4.8 References -- Chapter 5. One-Dimensional Integration -- 5.1 Introduction -- 5.2 Local Coordinate Jacobian -- 5.3 Exact Polynomial Integration -- 5.4 Numerical Integration -- 5.5 Variable Jacobians -- 5.6 References -- Chapter 6. Beam Analysis -- 6.1 Introduction -- 6.2 Variational Procedure -- 6.3 Hermite Element Matrices -- 6.4 Sample Application -- 6.5 Gradient Estimates -- 6.6 Element Equations via Galerkin's Method -- 6.7 Beams on an Elastic Foundation -- 6.8 Exact Analytic Elements -- 6.9 References -- Chapter 7. Truss Elements and Axis Transformations -- 7.1 Introduction -- 7.2 Direction Cosines -- 7.3 Transformation of Displacement Components.
Subject
Finite element method
Structural analysis (Engineering)
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Whiteman, John R.
Davenport, J. H.
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Structural analysis (Engineering)
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Davenport, J. H.
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Whiteman, John R.
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