rambomenaa كبير مهندسين
عدد المساهمات : 2041 التقييم : 3379 تاريخ التسجيل : 21/01/2012 العمر : 47 الدولة : مصر العمل : مدير الصيانة بشركة تصنيع ورق الجامعة : حلوان
| موضوع: كتاب Elasticity in Engineering Mechanics - Third Edition الجمعة 25 مايو 2012, 2:28 am | |
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أخوانى فى الله أحضرت لكم كتاب Elasticity in Engineering Mechanics Third Edition ARTHUR P. BORESI Professor Emeritus University of Illinois, Urbana, Illinois and University of Wyoming, Laramie, Wyoming KEN P. CHONG Associate National Institute of Standards and Technology, Gaithersburg, Maryland and Professor Department of Mechanical and Aerospace Engineering George Washington University, Washington, D.C. JAMES D. LEE Professor Department of Mechanical and Aerospace Engineering George Washington University, Washington, D.C
ويتناول الموضوعات الأتية :
CHAPTER 1 INTRODUCTORY CONCEPTS AND MATHEMATICS 1 Part I Introduction 1 1-1 Trends and Scopes 1 1-2 Theory of Elasticity 7 1-3 Numerical Stress Analysis 8 1-4 General Solution of the Elasticity Problem 9 1-5 Experimental Stress Analysis 9 1-6 Boundary Value Problems of Elasticity 10 Part II Preliminary Concepts 11 1-7 Brief Summary of Vector Algebra 12 1-8 Scalar Point Functions 16 1-9 Vector Fields 18 1-10 Differentiation of Vectors 19 1-11 Differentiation of a Scalar Field 21 1-12 Differentiation of a Vector Field 21 1-13 Curl of a Vector Field 22 1-14 Eulerian Continuity Equation for Fluids 22 v vi CONTENTS 1-15 Divergence Theorem 25 1-16 Divergence Theorem in Two Dimensions 27 1-17 Line and Surface Integrals (Application of Scalar Product) 28 1-18 Stokes’s Theorem 29 1-19 Exact Differential 30 1-20 Orthogonal Curvilinear Coordiantes in Three-Dimensional Space 31 1-21 Expression for Differential Length in Orthogonal Curvilinear Coordinates 32 1-22 Gradient and Laplacian in Orthogonal Curvilinear Coordinates 33 Part III Elements of Tensor Algebra 36 1-23 Index Notation: Summation Convention 36 1-24 Transformation of Tensors under Rotation of Rectangular Cartesian Coordinate System 40 1-25 Symmetric and Antisymmetric Parts of a Tensor 46 1-26 Symbolsδij andijk (the Kronecker Delta and the Alternating Tensor) 47 1-27 Homogeneous Quadratic Forms 49 1-28 Elementary Matrix Algebra 52 1-29 Some Topics in the Calculus of Variations 56 References 60 Bibliography 63 CHAPTER 2 THEORY OF DEFORMATION 65 2-1 Deformable, Continuous Media 65 2-2 Rigid-Body Displacements 66 2-3 Deformation of a Continuous Region. Material Variables. Spatial Variables 68 2-4 Restrictions on Continuous Deformation of a Deformable Medium 71 Problem Set 2-4 75 2-5 Gradient of the Displacement Vector. Tensor Quantity 76 CONTENTS vii 2-6 Extension of an Infinitesimal Line Element 78 Problem Set 2-6 85 2-7 Physical Significance ofii.Strain Definitions 86 2-8 Final Direction of Line Element. Definition of Shearing Strain. Physical Significance ofij(i=j) 89 Problem Set 2-8 94 2-9 Tensor Character ofαβ. Strain Tensor 94 2-10 Reciprocal Ellipsoid. Principal Strains. Strain Invariants 96 2-11 Determination of Principal Strains. Principal Axes 100 Problem Set 2-11 106 2-12 Determination of Strain Invariants. Volumetric Strain 108 2-13 Rotation of a Volume Element. Relation to Displacement Gradients 113 Problem Set 2-13 116 2-14 Homogeneous Deformation 118 2-15 Theory of Small Strains and Small Angles of Rotation 121 Problem Set 2-15 130 2-16 Compatibility Conditions of the Classical Theory of Small Displacements 132 Problem Set 2-16 137 2-17 Additional Conditions Imposed by Continuity 138 2-18 Kinematics of Deformable Media 140 Problem Set 2-18 146 Appendix 2A Strain–Displacement Relations in Orthogonal Curvilinear Coordinates 146 2A-1 Geometrical Preliminaries 146 2A-2 Strain–Displacement Relations 148 Appendix 2B Derivation of Strain–Displacement Relations for Special Coordinates by Cartesian Methods 151 2B-1 Cylindrical Coordinates 151 2B-2 Oblique Straight-Line Coordinates 153 viii CONTENTS Appendix 2C Strain–Displacement Relations in General Coordinates 155 2C-1 Euclidean Metric Tensor 155 2C-2 Strain Tensors 157 References 159 Bibliography 160 CHAPTER 3 THEORY OF STRESS 161 3-1 Definition of Stress 161 3-2 Stress Notation 164 3-3 Summation of Moments. Stress at a Point. Stress on an Oblique Plane 166 Problem Set 3-3 171 3-4 Tensor Character of Stress. Transformation of Stress Components under Rotation of Coordinate Axes 175 Problem Set 3-4 179 3-5 Principal Stresses.Stress Invariants. Extreme Values 179 Problem Set 3-5 183 3-6 Mean and Deviator Stress Tensors. Octahedral Stress 184 Problem Set 3-6 189 3-7 Approximations of Plane Stress. Mohr’s Circles in Two and Three Dimensions 193 Problem Set 3-7 200 3-8 Differential Equations of Motion of a Deformable Body Relative to Spatial Coordinates 201 Problem Set 3-8 205 Appendix 3A Differential Equations of Equilibrium in Curvilinear Spatial Coordinates 207 3A-1 Differential Equations of Equilibrium in Orthogonal Curvilinear Spatial Coordinates 207 3A-2 Specialization of Equations of Equilibrium 208 3A-3 Differential Equations of Equilibrium in General Spatial Coordinates 210 CONTENTS ix Appendix 3B Equations of Equilibrium Including Couple Stress and Body Couple 211 Appendix 3C Reduction of Differential Equations of Motion for Small-Displacement Theory 214 3C-1 Material Derivative. Material Derivative of a Volume Integral 214 3C-2 Differential Equations of Equilibrium Relative to Material Coordinates 218 References 224 Bibliography 225 CHAPTER 4 THREE-DIMENSIONAL EQUATIONS OF ELASTICITY 226 4-1 Elastic and Nonelastic Response of a Solid 226 4-2 Intrinsic Energy Density Function (Adiabatic Process) 230 4-3 Relation of Stress Components to Strain Energy Density Function 232 Problem Set 4-3 240 4-4 Generalized Hooke’s Law 241 Problem Set 4-4 255 4-5 Isotropic Media. Homogeneous Media 255 4-6 Strain Energy Density for Elastic Isotropic Medium 256 Problem Set 4-6 262 4-7 Special States of Stress 266 Problem Set 4-7 268 4-8 Equations of Thermoelasticity 269 4-9 Differential Equation of Heat Conduction 270 4-10 Elementary Approach to Thermal-Stress Problem in One and Two Variables 272 Problem 276 4-11 Stress–Strain–Temperature Relations 276 Problem Set 4-11 283 4-12 Thermoelastic Equations in Terms of Displacement 285 4-13 Spherically Symmetrical Stress Distribution (The Sphere) 294 Problem Set 4-13 299 x CONTENTS 4-14 Thermoelastic Compatibility Equations in Terms of Components of Stress and Temperature. Beltrami–Michell Relations 299 Problem Set 4-14 304 4-15 Boundary Conditions 305 Problem Set 4-15 310 4-16 Uniqueness Theorem for Equilibrium Problem of Elasticity 311 4-17 Equations of Elasticity in Terms of Displacement Components 314 Problem Set 4-17 316 4-18 Elementary Three-Dimensional Problems of Elasticity. Semi-Inverse Method 317 Problem Set 4-18 323 4-19 Torsion of Shaft with Constant Circular Cross Section 327 Problem Set 4-19 331 4-20 Energy Principles in Elasticity 332 4-21 Principle of Virtual Work 333 Problem Set 4-21 338 4-22 Principle of Virtual Stress (Castigliano’s Theorem) 339 4-23 Mixed Virtual Stress–Virtual Strain Principles (Reissner’s Theorem) 342 Appendix 4A Application of the Principle of Virtual Work to a Deformable Medium (Navier–Stokes Equations) 343 Appendix 4B Nonlinear Constitutive Relationships 345 4B-1 Variable Stress–Strain Coefficients 346 4B-2 Higher-Order Relations 346 4B-3 Hypoelastic Formulations 346 4B-4 Summary 347 Appendix 4C Micromorphic Theory 347 4C-1 Introduction 347 4C-2 Balance Laws of Micromorphic Theory 350 4C-3 Constitutive Equations of Micromorphic Elastic Solid 351 CONTENTS xi Appendix 4D Atomistic Field Theory 352 4D-1 Introduction 353 4D-2 Phase-Space and Physical-Space Descriptions 353 4D-3 Definitions of Atomistic Quantities in Physical Space 355 4D-4 Conservation Equations 357 References 359 Bibliography 364 CHAPTER 5 PLANE THEORY OF ELASTICITY IN RECTANGULAR CARTESIAN COORDINATES 365 5-1 Plane Strain 365 Problem Set 5-1 370 5-2 Generalized Plane Stress 371 Problem Set 5-2 376 5-3 Compatibility Equation in Terms of Stress Components 377 Problem Set 5-3 382 5-4 Airy Stress Function 383 Problem Set 5-4 392 5-5 Airy Stress Function in Terms of Harmonic Functions 399 5-6 Displacement Components for Plane Elasticity 401 Problem Set 5-6 404 5-7 Polynomial Solutionsof Two-Dimensional Problems in Rectangular Cartesian Coordinates 408 Problem Set 5-7 411 5-8 Plane Elasticity in Terms of Displacement Components 415 Problem Set 5-8 416 5-9 Plane Elasticity Relative to Oblique Coordinate Axes 416 Appendix 5A Plane Elasticity with Couple Stresses 420 5A-1 Introduction 420 5A-2 Equations of Equilibrium 421 xii CONTENTS 5A-3 Deformation in Couple Stress Theory 421 5A-4 Equations of Compatibility 425 5A-5 Stress Functions for Plane Problems with Couple Stresses 426 Appendix 5B Plane Theory of Elasticity in Terms of Complex Variables 428 5B-1 Airy Stress Function in Terms of Analytic Functionsψ(z) andχ(z) 428 5B-2 Displacement Components in Terms of Analytic Functionsψ(z) andχ(z) 429 5B-3 Stress Components in Terms ofψ(z) and χ(z) 430 5B-4 Expressions for Resultant Force and Resultant Moment 433 5B-5 Mathematical Form of Functionsψ(z) and χ(z) 434 5B-6 Plane Elasticity Boundary Value Problems in Complex Form 438 5B-7 Note on Conformal Transformation 440 Problem Set 5B-7 445 5B-8 Plane Elasticity Formulas in Terms of Curvilinear Coordinates 445 5B-9 Complex Variable Solution for Plane Region Bounded by Circle in the z Plane 448 Problem Set 5B 452 References 453 Bibliography 454 CHAPTER 6 PLANE ELASTICITY IN POLAR COORDINATES 455 6-1 Equilibrium Equations in Polar Coordinates 455 6-2 Stress Components in Terms of Airy Stress FunctionF=F(r,θ) 456 6-3 Strain–Displacement Relations in Polar Coordinates 457 Problem Set 6-3 460 6-4 Stress–Strain–Temperature Relations 461 Problem Set 6-4 462 CONTENTS xiii 6-5 Compatibility Equation for Plane Elasticity in Terms of Polar Coordinates 463 Problem Set 6-5 464 6-6 Axially Symmetric Problems 467 Problem Set 6-6 483 6-7 Plane Elasticity Equations in Terms of Displacement Components 485 6-8 Plane Theory of Thermoelasticity 489 Problem Set 6-8 492 6-9 Disk of Variable Thickness and Nonhomogeneous Anisotropic Material 494 Problem Set 6-9 497 6-10 Stress Concentration Problem of Circular Hole in Plate 498 Problem Set 6-10 504 6-11 Examples 505 Problem Set 6-11 510 Appendix 6A Stress–Couple Theory of Stress Concentration Resulting from Circular Hole in Plate 519 Appendix 6B Stress Distribution of a Diametrically Compressed Plane Disk 522 References 525 CHAPTER 7 PRISMATIC BAR SUBJECTED TO END LOAD 527 7-1 General Problem of Three-Dimensional Elastic Bars Subjected to Transverse End Loads 527 7-2 Torsion of Prismatic Bars. Saint-Venant’s Solution. Warping Function 529 Problem Set 7-2 534 7-3 Prandtl Torsion Function 534 Problem Set 7-3 538 7-4 A Method of Solution of the Torsion Problem: Elliptic Cross Section 538 Problem Set 7-4 542 7-5 Remarks on Solutions of the Laplace Equation,∇ 2 F=0 542 Problem Set 7-5 544 xiv CONTENTS 7-6 Torsion of Bars with Tubular Cavities 547 Problem Set 7-6 549 7-7 Transfer of Axis of Twist 549 7-8 Shearing–Stress Component in Any Direction 550 Problem Set 7-8 554 7-9 Solution of Torsion Problem by the Prandtl Membrane Analogy 554 Problem Set 7-9 561 7-10 Solution by Method of Series. Rectangular Section 562 Problem Set 7-10 566 7-11 Bending of a Bar Subjected to Transverse End Force 569 Problem Set 7-11 577 7-12 Displacement of a Cantilever Beam Subjected to Transverse End Force 577 Problem Set 7-12 581 7-13 Center of Shear 581 Problem Set 7-13 582 7-14 Bending of a Bar with Elliptic Cross Section 584 7-15 Bending of a Bar with Rectangular Cross Section 586 Problem Set 7-15 590 Review Problems 590 Appendix 7A Analysis of Tapered Beams 591 References 595 CHAPTER 8 GENERAL SOLUTIONS OF ELASTICITY 597 8-1 Introduction 597 Problem Set 8-1 598 8-2 Equilibrium Equations 598 Problem Set 8-2 600 8-3 The Helmholtz Transformation 600 Problem Set 8-3 601 8-4 The Galerkin (Papkovich) Vector 602 Problem Set 8-4 603 CONTENTS xv 8-5 Stress in Terms of the Galerkin VectorF 603 Problem Set 8-5 604 8-6 The Galerkin Vector: A Solution of the Equilibrium Equations of Elasticity 604 Problem Set 8-6 606 8-7 The Galerkin VectorkZand Love’s Strain Function for Solids of Revolution 606 Problem Set 8-7 608 8-8 Kelvin’s Problem: Single Force Applied in the Interior of an Infinitely Extended Solid 609 Problem Set 8-8 610 8-9 The Twinned Gradient and Its Application to Determine the Effects of a Change of Poisson’s Ratio 611 8-10 Solutions of the Boussinesq and Cerruti Problems by the Twinned Gradient Method 614 Problem Set 8-10 617 8-11 Additional Remarks on Three-Dimensional Stress Functions 617 References 618 Bibliography 619 INDEX
أتمنى أن تستفيدوا منه وأن ينال إعجابكم رابط تنزيل كتاب Elasticity in Engineering Mechanics - Third Edition
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| موضوع: رد: كتاب Elasticity in Engineering Mechanics - Third Edition الجمعة 25 مايو 2012, 10:55 am | |
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| موضوع: رد: كتاب Elasticity in Engineering Mechanics - Third Edition الأربعاء 09 أكتوبر 2013, 10:10 pm | |
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Admin مدير المنتدى
عدد المساهمات : 18961 التقييم : 35389 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
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