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正版现货新书弹力学/谭建国 9787308186681 谭建国

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作者谭建国

出版社浙江大学出版社有限责任公司

ISBN9787308186681

出版时间2018-05

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货号1201923133

上书时间2024-10-12

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商品描述: 作者简介
作者简介：谭建国,美国杜克大学(Duke University)土木工程系博士，台湾地区成功大学土木工程系讲座教授、浙江大学建筑工程学院土木系客座教授，中科院航发中心应力分析组教授顾问，中国土木水利工程

目录
Chapter 1  Mathematical Prerequisites
  1.1  Index Notation
    1.1.1  Range convention
    1.1.2  Summation convention
    1.1.3  The Kronecker delta
    1.1.4  The permutation symbol
  1.2  Vector Operations and Some Useful Integral Theorems
    1.2.1  The scalar product of two vectors
    1.2.2  The vector product of two vectors
    1.2.3  The scalar triple product
    1.2.4  The gradient of a scalar function
    1.2.5  The divergence of a vector function
    1.2.6  The curl of a vector function
    1.2.7  Laplacian of a scalar function
    1.2.8  Divergence theorem (Gausss theorem)
    1.2.9  Stokes theorem
    1.2.10  Greens theorem
  1.3  Cartesian Tensors and Transformation Laws
  Problems 1
Chapter 2  Analysis of Stress
  2.1  Continuum
  2.2  Forces
  2.3  Cauchys Formula
  2.4  Equations of Equilibrium
  2.5  Stress as a Second-order Tensor
  2.6  Principal Stresses
  2.7  Maximum Shears
  2.8  Yields Criteria
  Problems 2
Chapter 3  Analysis of Strain
  3.1  Differential Element Considerations
  3.2  Linear Deformation and Strain
  3.3  Strain as a Second-order Tensor
  3.4  Principal Strains and Strain Measurement
  3.5  Compatibility Equations
  3.6  Finite Deformation
  Problems 3
Chapter 4  Linear Elastic Materials, Framework of Problems of Elasticity
  4.1  Introduction
  4.2  Uniaxial Stress-Strain Relations of Linear Elastic Materials
  4.3  Hookes Law
    4.3.1  Isotropic materials
    4.3.2  Orthotropic materials
    4.3.3  Transversely isotropic materials
  4.4  Generalized Hookes Law
  4.5  Elastic Constants as Components of a Fourth-order Tensor
  4.6  Elastic Symmetry
    4.6.1  One plane of elastic symmetry (monoclinic material)
    4.6.2  Two planes of elastic symmetry
    4.6.3  Three planes of elastic symmetry (orthotropic material)
    4.6.4  An axis of elastic symmetric (rotational symmetry)
    4.6.5  Complete symmetry (spherical symmetry)
  4.7  Elastic Moduli
    4.7.1  Simple tension
    4.7.2  Pure shear
    4.7.3  Hydrostatics pressure
  4.8  Formulation of Problems of Elasticity
  4.9  Principle of Superposition
  4.10  Uniqueness of Solution
  4.11  Solution Approach
  Problems 4
Chapter 5  Some Elementary Problems
  5.1  Extension of Prismatic Bars
  5.2  A Column under Its Own Weight
  5.3  Pure Bending of Beams
  5.4  Torsion of a Shaft of Circular Cross Section
  Problems 5
Chapter 6  Two-dimensional Problems
  6.1  Plane Strain
  6.2  Plane Stress
  6.3  Connection between Plane Strain and Plane Stress
  6.4  Stress Function Formulation
  6.5  Plane Problems in Cartesian Coordinates
    6.5.1  Polynomial solutions
    6.5.2  Product solutions
  6.6  Plane Problems in Polar Coordinates
    6.6.1  Basic equations in polar coordinates
    6.6.2  Stress function in polar coordinates
    6.6.3  Problems with axial symmetry
    6.6.4  Problems without axial symmetry
  6.7  Wedge Problems
    6.7.1  A wedge subjected to a couple at the apex
    6.7.2  A wedge subjected to concentrated loads at the apex
    6.7.3  A wedge subjected to uniform edge loads
  6.8  Half-plane Problems
  6.9  Crack Problems
  Problems 6
Chapter 7  Torsion and Flexure of Prismatic Bars
  7.1  Saint-Venants Problem
  7.2  Torsion of Prismatic Bars
    7.2.1  Displacement formulation
    7.2.2  Stress function formulation
    7.2.3  Illustrative examples
  7.3  Membrane Analogy
  7.4  Torsion of Multiply Connected Bars
  7.5  Torsion of Thin-walled Tubes
  7.6  Flexure of Beams Subjected to Transverse End Loads
    7.6.1  Formulation and solution
    7.6.2  Illustrative examples
  Problems 7
Chapter 8  Complex Variable Methods
  8.1  Summary of Theory of Complex Variables
    8.1.1  Complex functions
    8.1.2  Some results from theory of analytic functions
    8.1.3  Conformal mapping
  8.2  Plane Problems of Elasticity
    8.2.1  Complex formulation of two-dimensional elasticity
    8.2.2  Illustrative examples
    8.2.3  Complex representation with conformal mapping
    8.2.4  Illustrative examples
  8.3  Problems of Saint-Venants Torsion
    8.3.1  Complex formulation with eonformal mapping
    8.3.2  Illustrative examples
  Problems 8
Chapter 9  Three-dimensional Problems
  9.1  Introduction
  9.2  Displacement Potential Formulation
    9.2.1  Galerkin vector
    9.2.2  Papkovich-Neuber functions
    9.2.3  Harmonic and biharmonic functions
  9.3  Some Basic Three-dimensional Problems
    9.3.1  Kelvins problem
    9.3.2  Boussinesqs problem
    9.3.3  Cerrutis problem
    9.3.4  Mindlins problem
  9.4  Problems in Spherical Coordinates
    9.4.1  Hollow sphere under internal and external pressures
    9.4.2  Spherical harmonics
    9.4.3  Axisymmetric problems of hollow spheres
    9.4.4  Extension of an infinite body with a spherical cavity
  Problems 9
Chapter 10  Variational Principles of Elasticity and Applications
  10.1  Introduction
    10.1.1  The shortest distance problem
    10.1.2  The body of revolution problem
    10.1.3  The hrachistochrone problem (the shortest time problem)
  10.2  Variation Operation
  10.3  Minimization of Variational Functionals
  10.4  Illustrative Examples
  10.5  Principle of Virtual Work
  10.6  Principle of Minimum Potential Energy
  10.7  Principle of Minimum Complementary Energy
  10.8  Reciprocal Theorem
  10.9  Hamiltons Principle of Elastodynamics
  10.10  Vibration of Beams
  10.11  Bending and Stretching of Thin Plates
  10.12  Equivalent Variational Problems
    10.12.1  Self-adjoint ordinary differential equations
    10.12.2  Self-adjoint partial differential equations
  10.13  Direct Methods of Solution
    10.13.1  The Ritz method
    10.13.2  The Galerkin method
  10.14  Illustrative Examples
  10.15  Closing Remarks
  Problems 10
Chapter 11  State Space Approach
  11.1  Introduction
  11.2  Solution of Systems of Linear Differential Equations
    11.2.1  Solution of homogeneous system
    11.2.2  Solution of nonhomogeneous system
  11.3  State Space Formalism of Linear Elasticity
    11.3.1  State variable representation of basic equations
    11.3.2  Hamiltonian formulation
    11.3.3  Explicit state equation and output equation
  11.4  Analysis of Stress Decay in Laminates
  11.5  Application to Two-dimensional Problems
    11.5.1  Infinite-plane Greens function
    11.5.2  Half-plane Greens functions
    11.5.3  A half-plane under line load
    11.5.4  Extension of infinite plate with an elliptical hole
  11.6  Symplectic Characteristics of Hamiltonian System
    11.6.1  Simpie and semisimple systems
    11.6.2  Non-semisimple system
  11.7  Application to Three-dimensional Elasticity
  Problems 11
References
Appendix A  Basic Equations in Cylindrical and Spherical Coordinates
Appendix B  Fourier Series
Appendix C  Product Solution of Biharmonic Equation in Cartesian Coordinates
Appendix D  Product Solution of Biharmonic Equation in Polar Coordinates
Index

内容摘要
主要内容包括笛卡尔张量、应力理论、应变分析、弹性力学本构关系、弹性力学问题的一般理论、平面问题的直角坐标解法和极坐标解法、柱形杆的扭转和弯曲、空间问题和接触问题、热应力、弹性波的传播、弹性力学问题的复变函数解法、弹性力学问题的变分解法等。