英文书籍 有限元分析教程 Textbook of Finite Element Analysis （PHI，P. Seshu）

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Textbook of
Finite Element
Analysis
P. Seshu
Preface ix
1. Introduction 115
1.1 Typical Application Examples 4
1.1.1 Automotive Applications 4
1.1.2 Manufacturing Process Simulation 7
1.1.3 Electrical and Electronics Engineering Applications 8
1.1.4 Aerospace Applications 14
Summary 14
2. Finite Element Formulation Starting from Governing Differential
Equations 16  65
2.1 Weighted Residual MethodUse of a Single Continuous Trial
Function 16
2.2 The General Weighted Residual (WR) Statement 28
2.3 Weak (Variational) Form of the Weighted Residual Statement 33
2.4 Comparison of Differential Equation, Weighted Residual and Weak
Forms 36
2.5 Piece-wise Continuous Trial Function Solution of the Weak Form 41
2.6 One-dimensional Bar Finite Element 48
2.7 One-dimensional Heat Transfer Element 57
Summary 61
Problems 61
3. Finite Element Formulation Based on Stationarity of a Functional 66 88
3.1 Introduction 66
3.2 Functional and Differential Equation Forms 67
3.3 Principle of Stationary Total Potential (PSTP) 73
3.3.1 RayleighRitz Method 75
Contents
v
vi Contents
3.4 Piece-wise Continuous Trial FunctionsFinite Element Method 81
3.4.1 Bar Element Formulated from the Stationarity of a Functional 81
3.4.2 One-dimensional Heat Transfer Element Based on the Stationarity of a
Functional 83
3.5 Meaning of Finite Element Equations 84
Summary 87
Problems 88
4. One-dimensional Finite Element Analysis 89144
4.1 General Form of the Total Potential for 1-d 89
4.2 Generic Form of Finite Element Equations 90
4.3 The Linear Bar Finite Element 93
4.4 The Quadratic Bar Element 101
4.4.1 Determination of Shape Functions 101
4.4.2 Element Matrices 102
4.5 Beam Element 117
4.5.1 Selection of Nodal d.o.f. 117
4.5.2 Determination of Shape Functions 118
4.5.3 Element Matrices 119
4.6 Frame Element 125
4.7 One-dimensional Heat Transfer 132
Summary 138
Problems 138
5. Two-dimensional Finite Element Analysis 145231
5.1 IntroductionDimensionality of a Problem 145
5.2 Approximation of Geometry and Field Variable 148
5.2.1 Simple Three-noded Triangular Element 149
5.2.2 Four-noded Rectangular Element 152
5.2.3 Six-noded Triangular Element 153
5.3 Natural Coordinates and Coordinate Transformation 156
5.3.1 Alternate Methods of Deriving Shape Functions 157
5.3.2 Natural CoordinatesQuadrilateral Elements 159
5.3.3 Natural CoordinatesTriangular Elements 164
5.4 2-d Elements for Structural Mechanics 167
5.4.1 Generic Relations 167
5.4.2 Three-noded Triangular Element 171
5.4.3 Four-noded Rectangular Element 179
5.4.4 Compatibility of Displacements 181
5.4.5 Four-node Quadrilateral Element 183
5.4.6 Eight-node Quadrilateral Element 188
5.4.7 Nine-node Quadrilateral Element 190
5.4.8 Six-node Triangular Element 192

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摘要：

本书《Textbook of Finite Element Analysis》由P. Seshu撰写，由PHI出版社出版，是一本系统介绍有限元分析理论与实践的英文教材。内容涵盖有限元方法的基本概念、单元类型、形函数、刚度矩阵构建、边界条件处理、以及实际工程应用案例分析，适合机械、土木、航空航天等专业的高年级本科生或研究生学习使用。书中结合实例与数学推导，帮助读者深入掌握有限元分析的核心原理与实用技能，是自学或课堂教学的理想参考书。

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作者：那山那人那狗 分类：专业资料 价格：20星币 属性：297 页 大小：3.15MB 格式：PDF 时间：2026-02-26

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