An Introduction to the Mechanics of Solids
An Introduction to the Mechanics of Solids
复制标题
固体力学导论
DOI：
10.1063/1.3057081
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发表时间：
1972
影响因子：
7.6
通讯作者：
E. Dill
中科院分区：
文献类型：
--
作者：
S. H. Crandall;N. C. Dahl;E. Dill
第二版序言第二版序言（SI单位）第一版序言第一章力学基本原理1. 1引言1. 2广义过程1. 3力学基本原理1. 4力的概念1. 5力矩1. 6平衡条件1. 7工程应用1. 8摩擦1. 9实例1. 10胡克定律接头1.11结束语问题第二章变形体力学导论2.1变形体分析2.2单轴载荷和变形2.3静定情况2.4静不定情况2.5桁架的计算机分析2.6弹性能量卡氏定理2.7问题总结第三章细长杆件传递的力和力矩3.1导论3.2一般方法3.3分布载荷3.4分布载荷的合力3.5微分平衡关系3.6奇异函数3.7流体力3.8三个尺寸问题问题第四章应力和应变4.1引言4.2应力4.3平面应力4.4平面应力中微分单元的平衡4.5与任意方向相关的应力分量平面应力中的面4.6平面应力的莫尔圆表示4.7一般应力状态的莫尔圆表示4.8变形分析4.9应变分量的定义4.10平面应变中应变和位移之间的关系4.11与任意轴组相关的应变分量4.12平面应变的莫尔圆表示4.13莫尔圆一般应力状态的表示4.14应变的测量4.15指数表示法问题第五章应力-应变-温度关系5.1引言5.2拉伸试验5.3应力-应变曲线的理想化5.4弹性应力-应变关系5.5热应变5.6弹性力学的完整方程5.7厚-薄-薄-5.8弹性体中的应变能5.9应力集中5.10复合材料和各向异性弹性5.11初始屈服准则5.12拉伸试验中超过初始屈服的行为5.13延性试样和结构的断裂5.14脆性试样和结构的断裂5.15疲劳5.16连续屈服准则5.17塑性应力-应变关系5.18粘弹性问题第六章扭转6.1引言6.2扭转圆轴变形的几何形状6.3从应力-应变关系得到的应力应变关系6.4平衡要求6.5扭转弹性圆轴中的应力和变形6.6弹性空心圆轴的扭转6.7扭转组合应力6.8扭转引起的应变能6.9扭转屈服的开始6.10塑性变形6.11残余应力6.12极限分析6.13矩形轴的扭转6.14空心，薄-第七章弯曲应力7.1导论7.2对称梁在纯弯曲作用下的变形几何7.3从应力中获得的应力-应变关系7.4平衡要求7.5承受纯弯曲的对称弹性梁中的应力和变形7.6传递剪力和弯矩的对称弹性梁中的应力7.7弯曲组合应力中的应力分析7.8弯曲引起的应变能7.9弯曲屈服的开始7.10塑性变形7.11非对称梁的弯曲7.12薄壁开口截面中的剪切流剪切中心问题第八章弯曲引起的挠度8.1引言8.2弯矩-曲率关系8.3弯矩-曲率关系的积分8.4叠加8.5载荷-挠度微分方程8.6能量方法8.7极限分析问题第九章平衡稳定性：屈曲9.1引言9.2弹性稳定性9.3失稳实例9.4柔性柱的弹性稳定性9.5弹性后屈曲行为9.6作为破坏模式的失稳9.7受拉构件的颈缩9.8塑性屈曲问题选定问题的答案索引s
Preface to the second edition Preface to the second edition with SI units Preface to the first edition Chapter One Fundamental Principles of Mechanics 1.1 Introduction 1.2 Generalized procedure 1.3 The fundamental principles of mechanics 1.4 The concept of force 1.5 The moment of a force 1.6 Conditions for equilibrium 1.7 Engineering applications 1.8 Friction 1.9 Examples 1.10 Hooke's joint 1.11 Final remarks Problems Chapter Two Introduction to Mechanics of Deformable Bodies 2.1 Analysis of deformable bodies 2.2 Uniaxial loading and deformation 2.3 Statically determinate situations 2.4 Statically indeterminate situations 2.5 Computer analysis of trusses 2.6 Elastic energy Castigliano's theorem 2.7 Summary Problems Chapter Three Forces and Moments Transmitted by Slender Members 3.1 Introduction 3.2 General method 3.3 Distributed loads 3.4 Resultants of distributed loads 3.5 Differential equilibrium relationships 3.6 Singularity functions 3.7 Fluid forces 3.8 Three-dimensional problems Problems Chapter Four Stress and Strain 4.1 Introduction 4.2 Stress 4.3 Plane stress 4.4 Equilibrium of a differential element in plane stress 4.5 Stress components associated with arbitrarily oriented faces in plane stress 4.6 Mohr's circle representation of plane stress 4.7 Mohr's circle representation of a general state of stress 4.8 Analysis of deformation 4.9 Definition of strain components 4.10 Relation between strain and displacement in plane strain 4.11 Strain components associated with arbitrary sets of axes 4.12 Mohr's circle representation of plane strain 4.13 Mohr's circle representation of a general state of stress 4.14 Measurement of strains 4.15 Indicial notation Problems Chapter Five Stress-strain-temperature Relations 5.1 Introduction 5.2 The tensile test 5.3 Idealizations of stress-strain curves 5.4 Elastic stress-strain relations 5.5 Thermal strain 5.6 Complete equations of elasticity 5.7 Complete elastic solution for a thick-walled cylinder 5.8 Strain energy in an elastic body 5.9 Stress concentration 5.10 Composite materials and anisotropic elasticity 5.11 Criteria for initial yielding 5.12 Behavior beyond initial yielding in the tensile test 5.13 Fracture of ductile specimens and structures 5.14 Fracture of brittle specimens and structures 5.15 Fatigue 5.16 Criteria for continued yielding 5.17 Plastic stress-strain relations 5.18 Viscoelasticity Problems Chapter Six Torsion 6.1 Introduction 6.2 Geometry of deformation of a twisted circular shaft 6.3 Stresses obtained from stress-strain relations 6.4 Equilibrium requirements 6.5 Stress and deformation in a twisted elastic circular shaft 6.6 Torsion of elastic hollow circular shafts 6.7 Stress analysis in torsion combined stresses 6.8 Strain energy due to torsion 6.9 The onset of yielding in torsion 6.10 Plastic deformations 6.11 Residual stresses 6.12 Limit analysis 6.13 Torsion of rectangular shafts 6.14 Torsion of hollow, thin-walled shafts Problems Chapter Seven Stresses Due to Bending 7.1 Introcustion 7.2 Geometry of deformation of a symmetrical beam subjected to pure bending 7.3 Stresses obtained from stress-strain relations 7.4 Equilibrium requirements 7.5 Stress and deformation in symmetrical elastic beams subjected to pure bending 7.6 Stresses in symmetrical elastic beams transmitting both shear force and bending moment 7.7 Stress analysis in bending combined stresses 7.8 Strain energy due to bending 7.9 The onset of yielding in bending 7.10 Plastic deformations 7.11 Bending of unsymmetrical beams 7.12 Shear flow in thin-walled open sections shear center Problems Chapter Eight Deflections Due to Bending 8.1 Introduction 8.2 The moment-curvature relation 8.3 Integration of the moment-curvature relation 8.4 Superposition 8.5 The load-deflection differential equation 8.6 Energy methods 8.7 Limit analysis Problems Chapter Nine Stability of Equilibrium: Buckling 9.1 Introduction 9.2 Elastic stability 9.3 Examples of instability 9.4 Elastic stability of flexible columns 9.5 Elastic postbuckling behavior 9.6 Instability as a mode of failure 9.7 Necking of tension members 9.8 Plastic buckling Problems Answers to Selected Problems Index s