Thermal stresses : advanced theory and applications
著者
書誌事項
Thermal stresses : advanced theory and applications
(Solid mechanics and its applications, v. 158)
Springer, c2019
2nd ed
- : hbk
大学図書館所蔵 全1件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering.
This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems.
The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, and mathematics, including vector and cartesian tensor analysis.
This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.
目次
Chapter 1: Basic Laws of Thermoelasticity.- 1 Introduction.- 2 Stresses and Tractions.- 3 Equations of Motion.- 4 Coordinate Transformation. Principal Axes.- 5 Principal Stresses and Stress Invariants.- 6 Displacement and Strain Tensor.- 7 Compatibility Equations. Simply Connected Region.- 8 Compatibility Conditions. Multiply Connected Regions.- 9 Constitutive Laws of Linear Thermoelasticity.- 10 Displacement Formulation of Thermoelasticity.- 11 Stress Formulation of Thermoelasticity.- 12 Two-Dimensional Thermoelasticity.- 13 Michell Conditions.- 14 Problems.- Chapter 2: Thermodynamics of Elastic Continuum.- 1 Introduction.- 2 Thermodynamics Definitions.- 3 First Law of Thermodynamics.- 4 Second Law of Thermodynamics.- 5 Variational Formulation of Thermodynamics.- 6 Thermodynamics of Elastic Continuum.- 7 General Theory of Thermoelasticity.- 8 Free Energy Function of Hookean Materials.- 9 Fourier's Law and Heat Conduction Equation.- 10 Generalized Thermoelasticity, Second Sound.- 11 Thermoelasticity without Energy Dissipation.- 12 A Unified Generalized Thermoelasticity.- 13 Uniqueness Theorem.- 14 Variational Principle of Thermoelasticity.- 15 Reciprocity Theorem.- 16 Initial and Boundary Conditions.- 17 Problems.- Chapter 3: Basic Problems of Thermoelasticity.- 1 Introduction.- 2 Temperature Distribution for Zero Thermal Stress.- 3 Analogy of Thermal Gradient with Body Forces.- 4 General Solution of Thermoelastic Problems.- 5 Solution of Two-Dimensional Navier Equations.- 6 General Solution in Cylindrical Coordinates.- 7 Solution of Problems in Spherical Coordinates.- 8 Problems.- Chapter 4: Heat Conduction Problems.- 1 Introduction.- 2 Problems in Rectangular Cartesian Coordinates.- 3 Problems in Cylindrical Coordinates.- 4 Problems in Spherical Coordinates.- 5 Problems.- Chapter 5: Thermal Stresses in Beams.- 1 Introduction.- 2 Thermal Stresses in Beams.- 3 Deflection Equation of Beams.- 4 Boundary Conditions.- 5 Shear Stress in a Beam.- 6 Beams of Rectangular Cross Section.- 7 Transient Stresses in Rectangular Beams.- 8 Beam with Internal Heat Generation.- 9 Bimetallic Beam.- 10 Functionally Graded Beams.- 11 Transient Stresses in FGM Beams.- 12 Thermal Stresses in Thin Curved Beams and Rings.- 13 Deflection of Thin Curved Beams and Rings.- 14 Problems.- Chapter 6: Disks, Cylinders, and Spheres 2591 Introduction.- 2 Cylinders with Radial Temperature Variation.- 3 Thermal Stresses in Disks.- 4 Thick Spheres.- 5 Thermal Stresses in a Rotating Disk.- 6 Non-axisymmetrically Heated Cylinders.- 7 Method of Complex Variables.- 8 Functionally Graded Thick Cylinders.- 9 Axisymmetric Stresses in FGM Cylinders.- 10 Transient Thermal Stresses in Thick Spheres.- 11 Functionally Graded Spheres .- 12 Problems.- Chapter 7: Thermal Expansion in Piping Systems.- 1 Introduction.- 2 Definition of the Elastic Center.- 3 Piping Systems in Two Dimensions.- 4 Piping Systems in Three Dimensions.- 5 Pipelines with Large Radius Elbows.- 6 Stiffness Method.- 7 Rotation Matrix.- 8 Transformation Matrix.- 9 Flexibility Matrix of a Single Member.- 10 Flexibility Matrix of a Branch.- 11 Flexibility Matrix of a Straight Member.- 12 Flexibility Matrix of a Bend Member.- 13 Problems.- Chapter 8: Coupled and Generalized Thermoelasticity.- 1 Introduction.- 2 Governing Equations of Coupled Thermoelasticity.- 3 Coupled Thermoelasticity for Infinite Space.- 4 Variable Heat Source.- 5 One-Dimensional Coupled Problem.- 6 Propagation of Discontinuities.- 7 Half-Space Subjected to a Harmonic Temperature.- 8 Coupled Thermoelasticity of Thick Cylinders.- 9 Green-Naghdi Model of a Layer.- 10 Generalized Thermoelasticity of Layers.- 11 Generalized Thermoelasticity in Spheres and Cylinders.- 12 Problems.- Chapter 9: Finite and Boundary Element Methods.- 1 Introduction.- 2 Galerkin Finite Element.- 3 Functionally Graded Layers.- 4 Coupled Thermoelasticity of Thick Spheres.- 5 Generalized Thermoelasticity of FG Spheres.- 6 Generalized Thermoelasticity of FG Disk.- 7 Higher Order Elements.- 8 Functionally Graded Beams.- 9 Thermally Nonlinear GeneralizedThermoelasticity.- 10 Boundary Element Formulation.- Chapter 10: Thermally Induced Vibrations.- 1 Introduction.- 2 Thermally Induced Vibrations of Isotropic Beams.- 3 Thermally Induced Vibration of FGM Beams.- 4 Thermally Induced Vibration of Shallow Arches.- Chapter 11: Creep Analysis.- 1 Introduction.- 2 Creep of Metals.- 3 Constitutive Equation of Uniaxial Creep.- 4 Creep Relaxation, Linear Rheological Models.- 5 Three-Dimensional Governing Equations.- 6 Creep Potential, General Theory of Creep.- 7 Stress Function for Creep Problems.- 8 Creep Linearization.- 9 Creep Relaxation of Axisymmetric Stresses.- 10 Creep Relaxation of Non-axisymmetric Stresses.- 11 Thermoelastic Creep Relaxation in Beams.12 Problems.- Subject Index.
「Nielsen BookData」 より