ELASTICITY -弹性力学_PDF下载[60MB-百度云]伍章健

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　　《弹性力学（第2版英文版）》主要介绍弹性力学经典内容和作者新研究成果，整个结构体系综合了北京理工大学和英国曼彻斯特大学多年来在弹性力学教学中的大纲、内容和成果，为适应当前高等教育对双语教学的发展需求，本书内容的安排和撰写参考了经典著作和新教研成果，并结合了读者对**版的反馈以及在弹性力学教学方面新收获。为了更好地适应读者在双语教学环境下使用以及促进数值模拟和工程计算在弹性力学中的应用，与**版不同的是在第二版中增加了有限差分法和有限元法内容。　　通过使用和阅读本书，结合中文教材能够学到弹性力学的基础知识、标准术语，提高专业英语能力、本书可作为工科类高等学校，尤其是力学类的高年级本科生和研究生双语课程和教学参考书，或者作为工程师、研究人员和初学者的英文参考书。

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CHAPTER 1 BASIC ASSUMPTIONS AND MATHEMATICALPRELIMINARIES1．1 Introduction1．2 Basic Assumptions1．3 Coordinate Systems and Transformations1．4 Vector and Matrix Notations and Their Operations1．5 Divergence TheoremProblems/Tutorial QuestionsCHAPTER 2 STRESSES2．1 Stress and the Stress Tensor2．2 Equilibrium Equations2．3 Traction Boundary Conditions2．4 Stresses on an Oblique Plane2．5 Principal Stresses2．6 Stationary and Octahedral Shear Stresses2．7 Equilibrium Equations in Curvilinear CoordinatesProblems/Tutorial QuestionsCHAPTER 3 STRAINS3．1 Strains3．2 Finite Deformations3．3 Strains in a Given Direction and Principal Strains3．4 Stationary Shear Strains3．5 Compatibility3．6 Kinematic and Compatibility Equations in Curvilinear Coordinates3．7 Concluding RemarksProblems/Tutorial QuestionsCHAPTER 4 FORMULATION OF ELASTICITY PROBLEMS4．1 Strain Energy Density Function4．2 Generalised Hooke’s Law4．3 Initial Stresses and Initial Strains4．4 Governing Equations and Boundary Conditions4．5 General Solution Techniques4．6 St．Venant’s PrincipleProblems/Tutorial QuestionsCHAPTER5 TWO-DIMENSIONAL ELASTICITY5．1 Plane Strain Problems5．2 Plane Stress Problems5．3 Similarities and Differences Between Plane Strain/Plane Stress Problems5．4 Airy Stress Function and Polynomial Solutions5．5 Polar Coordinates5．6 Axisymmetric Stress Distributions5．7 Rotating Discs5．8 Stresses Around a Circular Hole in a Plate Subjected to Equal Biaxial Tension-Compression （Pure Shear in the 45°Direction）5．9 Stress Concentration Around a Circular Hole in a Plate Subjected to Uniaxial Tension5．10 Concluding RemarksProblems/Tutorial QuestionsCHAPTER 6 TORSION OF BARS6．1 Torsion of Bars in Strength of Materials6．2 Warping6．3 Prandtl’s Stress Function6．4 Torque6．5 Bars of Circular and Elliptical Cross-Sections6．6 Thin-Walled Structures in Torsion6．7 AnalogiesProblems/Tutorial QuestionsCHAPTER 7 BENDING OF BARS7．1 Bending Theory in Strength of Materials7．2 Elasticity Formulation of Bending of Bars7．3 Stress Resultants and Shear Centre7．4 Bending of a Bar of a Circular Cross-Section7．5 Bending of a Bar of an Elliptical Cross-Section7．6 AnalogiesProblems/Tutorial QuestionsCHAPTER 8 THE STATE SPACE METHOD OF 3D ELASTICITY8．1 Concept of State and State Variables8．2 Solution for a Linear Time-Invariant System8．3 Calculation ofe[A]t8．4 Solution of Linear Time-Variant System8．5 State Variable Equation of Elasticity8．6 Application ofState Space Method8．7 ConclusionsProblems／Tutorial QuestionsCHAPTER9 BENDINGOFPLA7ES9．1 Love．KirchhoffHypotheses9．2 TheDisplacementFields9．3 Strains and Generalised Strains9．4 Bending Momems9．5 The Governing Equation9．6 GeneralisedForces9．7 Boundary Conditions9。8 RectangularPlates9．9 CircularPlatesProblems／Tutorial QuestionsCHAPTER 10 ENERGYPRINCIPLES10．1 Introduction10．2 Work，Strain Energy and Strain Complementary Energy10．3 Principle ofVirtualWork10．4 Application ofthe Principle ofVirtual Work10．5 The Reciprocal Law ofBetti10．6 Principle ofMinimum Potential Energy10．7 Principle ofVirtual Complememary Work10．8 Principle of Minimum Complementary Energy10．9 Castigliano’s Theorems10．10 Application of the Principles of Minimum Strain Energy10．11 Rayleigh-Ritz MethodProblems/Tutorial QuestionsCHAPTER 11 FINITE DIFFERENCE METHOD11．1 Finite Difference Formulations11．2 Relations of Difference and Differential Operators11．3 Difference Pattern for Laplace and Bi-harmonic Operators11．4 Case Study11．5 Boundary Condition for Plane Problem Bi-harmonic Function11．6 Irregular Boundary and Uneven Mesh IntervalsProblems/Tutorial QuestionsCHAPTER 12． FINTTE ELEMENT METHOD12．1 Introduction12．2 Outline of FEM12．3 Formulation of Displacement Model12．4 Triangular Element12．5 Nodal Force Vector12．6 Rectangular Element12．7 Transformation Matrix and Assembly of Structure Stiffness Matrix ~12．8 Other RemarksProblems/Tutorial QuestionsCHAPTER 13 SPECIAL TOPICS FOR ELASTICITY13．1 Thermal Elasticity13．2 Propagation of Elastic Wave13．3 Strength Theory， Crack and FractureProblems/Tutorial QuestionsReferences