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Advanced Mechanics of Materials
출판사 : Oxford University Press
저 자 : Solecki
ISBN : 9780195143720
발행일 : 2003-02-06
도서종류 : 외국도서
발행언어 : 영어
페이지수 : 780
판매가격 : 35,000원
판매여부 : 재고확인요망
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   Advanced Mechanics of Materials 목차
Preface
Ch. 1 Introduction 1
Ch. 2 Stress and Equilibrium Equations
2.1 Concept of Stress 6
2.2 Stress Components and Equilibrium Equations 7
2.3 Principal Stresses and Invariants 35
2.4 Three-Dimensional Mohr's Circles 45
2.5 Stress Analysis and Symbolic Manipulation 48
Ch. 3 Displacement and Strain
3.1 Introduction 55
3.2 Strain-Displacement Equations 56
3.3 Compatibility 60
3.4 Specification of the State of Strain at a Point 66
3.5 Rotation 72
3.6 Principal Strains 76
3.7 Strain Invariants 81
3.8 Volume Changes and Dilatation 82
3.9 Strain Deviator 83
3.10 Strain-Displacement Equations in Polar Coordinates 85
Ch. 4 Relationships Between Stress and Strain
4.1 Introduction 95
4.2 Isotropic Materials - A Physical Approach 98
4.3 Two-Dimensional Stress-Strain Laws - Plane Stress and Plane Strain 107
4.4 Restrictions on Elastic Constants for Isotropic Materials 111
4.5 Anisotropic Materials 112
4.6 Material Symmetries 114
4.7 Materials with a Single Plane of Elastic Symmetry 115
4.8 Orthotropic Materials 117
4.9 Transversely Isotropic Materials 130
4.10 Isotropic Materials - A Mathematical Approach 135
4.11 Stress-Strain Relations for Viscoelastic Materials 141
4.12 Material Behavior beyond the Elastic Limit 150
4.13 Criteria for Yielding 155
4.14 Stress-Strain Relations for Elastic-Perfectly Plastic Materials 163
4.15 Stress-Strain Relations when the Temperature Field Is Nonuniform 165
4.16 Stress-Strain Relations for Piezoelectric Materials 167
Ch. 5 Energy Concepts
5.1 Fundamental Concepts and Definitions 186
5.2 Work 188
5.3 First Law of Thermodynamics 201
5.4 Second Law of Thermodynamics 207
5.5 Some Simple Applications Involving the First Law 210
5.6 Strain Energy 215
5.7 Castigliano's Theorem 227
5.8 Principle of Virtual Work 236
5.9 Theorem of Minimum Total Potential Energy 245
5.10 Applications of the Theorem of Minimum Total Potential Energy 248
5.11 Rayleigh-Ritz Method 251
5.12 Principle of Minimum Complementary Energy 257
5.13 Betti-Rayleigh Reciprocal Theorem 261
5.14 General Stress-Strain Relationships for Elastic Materials 266
Ch. 6 Numerical Methods I
6.1 Method of Finite Differences 274
6.2 Method of Iteration 287
6.3 Method of Collocation 289
Ch. 7 Numerical Methods II: Finite Elements
7.1 Introduction 292
7.2 Two-Dimensional Frames 293
7.3 Overall Approach 294
7.4 Member Force-Displacement Relationships 296
7.5 Assembling the Pieces 306
7.6 Solving the Problem 313
7.7 Example 316
7.8 Notes Concerning the Structure Stiffness Matrix 319
7.9 Finite Element Analysis 320
7.10 Constant Strain Triangle 322
7.11 Element Assembly 328
7.12 Example 330
7.13 Notes on Using Finite Element Programs 333
7.14 Closure 336
Ch. 8 Beams
8.1 Bending of Continuous Beams 342
8.2 Unsymmetric Bending of Straight Beams 356
8.3 Curved Beams 364
8.4 Beams on Elastic Foundations 400
8.5 Influence Functions (Green's Functions) for Beams 421
8.6 Thermal Effects 434
8.7 Composite Beams 436
8.8 Limit Analysis 440
8.9 Fourier Series and Applications 448
8.10 Approximate Methods in the Analysis of Beams 455
8.11 Piezoelectric Beams 464
Ch. 9 Elementary Problems in Two- and Three-Dimensional Solid Mechanics
9.1 Problem Formulation - Boundary Conditions 524
9.2 Compatibility of Elastic Stress Components 531
9.3 Thick-Walled Cylinders and Circular Disks 533
9.4 Airy's Stress Function 561
9.5 Torsion 564
9.6 Application of Numerical Methods to Solution of Two-Dimensional Elastic Problems 586
Ch. 10 Plates
10.1 Introduction 600
10.2 Axisymmetric Bending of Circular Plates 607
10.3 Bending of Rectangular Plates 642
10.4 Plates on Elastic Foundations 648
10.5 Strain Energy of an Elastic Plate 649
10.6 Membranes 650
10.7 Composite Plates 652
10.8 Approximate Methods in the Analysis of Plates and Membranes 665
Ch. 11 Buckling and Vibration
11.1 Buckling and Vibration of Beams and Columns 680
11.2 Buckling of Rings, Arches, and Thin-Walled Tubes 694
11.3 Buckling of Thin Rectangular Plates 701
Ch. 12 Introduction to Fracture Mechanics
12.1 Introductory Concepts 706
12.2 Linear Cracks in Two-Dimensional Elastic Solids - Williams's Solution, Stress Singularity 708
12.3 Stress Intensity Factor 718
12.4 Crack Driving Force as an Energy Rate 720
12.5 Relation between [Gamma] and the Stress Intensity Factors 723
12.6 Some Simple Calculations of Stress Intensity Factors 724
12.7 The J Integral 727
App. A: Matrices 735
App. B: Coordinate Transformations 743
Index 749
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Product Description
Advanced Mechanics of Materials bridges the gap between elementary mechanics of materials courses and more rigorous graduate courses in mechanics of deformable bodies (i.e., continuum mechanics, elasticity, plasticity) taken by graduate students. Covering both traditional and modern topics, the text is ideal for senior undergraduate and beginning graduate courses in advanced strength of materials, advanced mechanics of materials, or advanced mechanics of solids. Rather than exclusively emphasizing either fundamentals or applications, it provides a balance between the two, teaching fundamentals while using real-world applications to solidify student comprehension. Advanced Mechanics of Materials features: DT applications to contemporary practice DT use of modern computer tools, including Mathcad DT an introduction to modern topics, such as piezoelectricity, fracture mechanics, and viscoelasticity Chapters two through five cover theoretical and conceptual development and contain relatively simple examples aimed at enhancing student understanding. The remaining chapters apply the theory to specific classes of problems such as: DT beam bending, including the effects of piezoelectricity DT plate bending DT beam and plate vibration and buckling DT introductory concepts of fracture mechanics DT finite element analysis The authors assume that students will have an understanding of elementary (statics, dynamics, strength of materials) and intermediate (aircraft structures, machine design) mechanics.


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