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Applied Elasticity and Plasticity [Kietas viršelis]

  • Formatas: Hardback, 564 pages, aukštis x plotis: 254x178 mm, weight: 1218 g, 215 Illustrations, black and white
  • Išleidimo metai: 10-Oct-2017
  • Leidėjas: CRC Press
  • ISBN-10: 1138061913
  • ISBN-13: 9781138061910
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 564 pages, aukštis x plotis: 254x178 mm, weight: 1218 g, 215 Illustrations, black and white
  • Išleidimo metai: 10-Oct-2017
  • Leidėjas: CRC Press
  • ISBN-10: 1138061913
  • ISBN-13: 9781138061910
Kitos knygos pagal šią temą:

Applied Elasticity and Plasticity is a comprehensive work that introduces graduate students and professionals in civil, mechanical, aeronautical and metallurgical engineering to the basic theories of elasticity, plasticity and their practical applications. Based on experimental data of static tension tests of material, several elastic and plastic stress-strain relations are derived, and commonly-used yield criteria and strain hardening rules are discussed as well.

Analysis of conventional, deviatoric and mathematical stress and strain in two and three dimensions is presented. Analytical applications include torsion and bending of structural components subjected to various loadings, thick-walled cylindrical and spherical vessels subjected to internal and external pressures, stress-concentrations around holes, stress-intensity factors in structural components containing circular, elliptical and many more concepts important for professionals and students alike.

Recenzijos

"This book introduces the subject of solid mechanics using physical descriptions of the topics starting from the readers basic understanding of strength of materials concepts that all civil and mechanical engineers are familiar with. The author uses simple language and a unified style to explain the mathematical derivations needed to solve elasticity, plasticity and fracture mechanics problems. This approach should help students and engineers understand when and how to apply the theories presented to solve real world problems." Michel Ghosn, The City College of New York - CUNY, New York, USA

"Although books that discuss the theory of elasticity and theory of plasticity are plentiful, this book stands out in that it combines essential elements of these two important and classic theories into a single volume that is informative and conducive to readers. Because its focus is on applications of these theories, a number of example problems are solved using both theories. As such, readers are able to gain important insight into the load resisting behavior of the structural members over the entire stress range. This book is ideal for graduate students and self-learners who want to gain exposure to the basics of elasticity and plasticity, without overly burdened by the complexities and intricacies of these theories." Eric M. Lui, Syracuse University, New York

"The topics in this book are broad enough to satisfy the needs of students and instructors, giving them flexibility to design their courses. After introducing the basic concepts and formulations of elasticity and plasticity, they are applied to a variety of topics from thick walled cylinders to thermal stresses to crack problems to name a few. One important feature of the book is that both applied elasticity and applied plasticity principles and problems are covered in the same book, freeing the instructors from the burden of assigning different textbooks for each subject. The book is well written and the concepts are illustrated with carefully chosen examples to help students master the subject matter." Feridun Delale, The City College of New York CUNY, New York, USA "This book introduces the subject of solid mechanics using physical descriptions of the topics starting from the readers basic understanding of strength of materials concepts that all civil and mechanical engineers are familiar with. The author uses simple language and a unified style to explain the mathematical derivations needed to solve elasticity, plasticity and fracture mechanics problems. This approach should help students and engineers understand when and how to apply the theories presented to solve real world problems." Michel Ghosn, The City College of New York - CUNY, New York, USA

"Although books that discuss the theory of elasticity and theory of plasticity are plentiful, this book stands out in that it combines essential elements of these two important and classic theories into a single volume that is informative and conducive to readers. Because its focus is on applications of these theories, a number of example problems are solved using both theories. As such, readers are able to gain important insight into the load resisting behavior of the structural members over the entire stress range. This book is ideal for graduate students and self-learners who want to gain exposure to the basics of elasticity and plasticity, without overly burdened by the complexities and intricacies of these theories." Eric M. Lui, Syracuse University, New York

"The topics in this book are broad enough to satisfy the needs of students and instructors, giving them flexibility to design their courses. After introducing the basic concepts and formulations of elasticity and plasticity, they are applied to a variety of topics from thick walled cylinders to thermal stresses to crack problems to name a few. One important feature of the book is that both applied elasticity and applied plasticity principles and problems are covered in the same book, freeing the instructors from the burden of assigning different textbooks for each subject. The book is well written and the concepts are illustrated with carefully chosen examples to help students master the subject matter." Feridun Delale, The City College of New York CUNY, New York, USA

Preface xi
Author xiii
1 Introduction
1(22)
1.1 Axial Extension
1(7)
1.2 Bending of Symmetric Beams
8(6)
1.3 Torsion of Circular Members
14(9)
Problems
16(5)
List of Elementary Formulas
21(1)
References
22(1)
2 Analysis of Stress
23(44)
2.1 The Stress at a Point
24(2)
2.2 Equations of Equilibrium
26(2)
2.3 Stress Vector (Traction)
28(1)
2.4 Stresses on an Inclined Plane
28(6)
2.5 Transformation of Stress
34(4)
2.6 Principal Stresses
38(9)
2.6.1 Principal Normal Stresses
38(4)
2.6.2 Principal Shear Stresses
42(5)
2.7 Stress Deviator Tensor
47(3)
2.8 Octahedral Stresses
50(2)
2.9 Mohr's Stress Circles
52(15)
Problems
58(7)
References
65(2)
3 Analysis of Strain
67(38)
3.1 Displacement at a Point
67(2)
3.2 Normal and Shear Strains
69(8)
3.2.1 2D Strain
70(5)
3.2.2 3D Strain
75(2)
3.3 Compatibility Conditions
77(2)
3.4 Dilatation
79(1)
3.5 Transformation of Strain
79(6)
3.5.1 2D Strain
80(1)
3.5.2 3D Strain
81(4)
3.6 Strain Tensor
85(3)
3.6.1 Mathematical Strain
86(2)
3.7 Principal Strains
88(4)
3.8 Octahedral Strains
92(1)
3.9 Mohr's Circle of Strain
92(3)
3.10 Strain Gages
95(10)
Problems
98(5)
References
103(2)
4 Stress--Strain Relations
105(64)
4.1 Elastic Behavior
105(8)
4.1.1 Hooke's Law
106(4)
4.1.2 Incompressible Material
110(1)
4.1.3 Equations of Equilibrium in Terms of Displacements
110(3)
4.2 Strain Energy
113(7)
4.2.1 Dilatational and Distortional Strain Energy Densities
117(2)
4.2.2 Impact Loading
119(1)
4.3 Plastic Behavior
120(18)
4.3.1 Static Tension Test
120(1)
4.3.2 Basic Stress--Strain Relations
121(2)
4.3.3 Models of Uniaxial Stress--Strain Relations
123(12)
4.3.4 True Stress and Strain
135(3)
4.4 Yield Criterion
138(15)
4.4.1 Maximum Shearing Stress Criterion
139(1)
4.4.2 Maximum Distortion Energy Criterion
140(5)
4.4.3 Yield Surfaces in Haigh--Wesregaard Stress Space
145(1)
4.4.4 Strain Hardening Rules
146(1)
4.4.4.1 Isotropic Hardening Rule
147(1)
4.4.4.2 Kinematic Hardening Rule
147(1)
4.4.4.3 Independent Hardening Rule
148(5)
4.5 Plastic Stress--Strain Relations
153(16)
4.5.1 Stress--Strain Relations for Perfectly Plastic Material
154(1)
4.5.2 Deformation Theory of Plasticity (J2---Material)
155(4)
Problems
159(8)
References
167(2)
5 Torsion of Prismatic Bars
169(58)
5.1 Introduction
169(1)
5.2 Torsion of a Cylindrical Bar
170(9)
5.2.1 Elastic-Perfectly Plastic Material
171(5)
5.2.2 Work--Hardening Material
176(3)
5.3 Torsion of Noncircular Bars
179(1)
5.4 Elastic Solutions
180(18)
5.4.1 Polynomial Solution
183(8)
5.4.2 Fourier Series Solutions
191(5)
5.4.3 Approximate Solution
196(2)
5.5 Plastic Solutions
198(10)
5.5.1 Axial Displacement
200(2)
5.5.2 Oval Cross Section
202(4)
5.5.3 Fully Plastic Torque
206(2)
5.6 Membrane Analogy
208(9)
5.6.1 Torsion of Thin-Walled Members
211(3)
5.6.2 Torsion of Thin-Walled Tubes
214(3)
5.7 Torsion of Restrained Structural Sections
217(10)
Problems
220(5)
References
225(2)
6 Two-Dimensional Problems
227(74)
6.1 Plane Stress
227(2)
6.2 Plane Strain
229(2)
6.3 Stress Function
231(3)
6.4 Polynomial Solutions
234(11)
6.4.1 Cantilever Beam Loaded by a Concentrated Force
235(4)
6.4.2 Bending of a Simply Supported Beam by Uniform Load
239(4)
6.4.3 Cantilever Beam Subjected to Hydrostatic Pressure
243(2)
6.5 Saint-Venant's Principle
245(3)
6.6 Solutions in Polar Coordinates
248(4)
6.7 Solutions of the Compatibility Equation
252(23)
6.7.1 Axially Symmetric Problems
254(11)
6.7.2 Wedge Problems
265(5)
6.7.3 Semi-Infinite Solid
270(5)
6.8 Rotating Circular Disks
275(26)
6.8.1 Solid Disk
277(3)
6.8.2 Annular Disk
280(4)
6.8.3 Angular Rotation of a Thin Ring or Cylinder
284(1)
6.8.4 Disks of Variable Thickness
285(5)
6.8.5 Rotating Disk of Uniform Strength
290(1)
Problems
291(8)
References
299(2)
7 Other Elastoplastic Problems
301(50)
7.1 Thick-Walled Cylindrical Tubes
301(21)
7.1.1 Cylindrical Tube Subjected to Internal Pressure
303(3)
7.1.2 External Pressure Only
306(1)
7.1.3 Elastic-Plastic Expansion of a Cylinder Subjected to Internal Pressure
307(7)
7.1.4 Residual Stresses
314(1)
7.1.5 Compound Cylinders
315(4)
7.1.6 Influence of Strain Hardening of the Material
319(3)
7.2 Thick-Walled Spherical Shell
322(10)
7.2.1 Spherical Shell Subjected to Internal Pressure
324(4)
7.2.2 Influence of Changes in Geometry of the Sphere
328(1)
7.2.3 Work-Hardening Material
329(3)
7.3 Stress Concentration Factors
332(8)
7.3.1 Infinite Plate Containing a Circular Hole
332(7)
7.3.2 Infinite Plate Containing an Elliptical Hole
339(1)
7.4 Structural Members Containing Cracks
340(11)
7.4.1 Plastic Zone near Crack Tip
343(2)
Problems
345(4)
References
349(2)
8 Thermal Stresses
351(32)
8.1 Thermal Stresses in Uniform Circular Disks
356(5)
8.1.1 Solid Disk
357(1)
8.1.2 Annular Disk
357(1)
8.1.3 Combined Thermal and Rotational Stresses
358(3)
8.2 Thermal Stresses in Cylindrical Vessels
361(9)
8.2.1 Steady-State Heat Flow
363(4)
8.2.2 Thermal Stresses in Pressurized Vessels Subject to Steady-State Heat How
367(1)
8.2.3 Initiation of Ductile Yield
368(1)
8.2.4 Elastic-Plastic Expansion
368(2)
8.3 Thermal Stresses in Thick-Walled Spherical Shell
370(13)
8.3.1 Steady-State Temperature Distribution in Spherical Vessels
372(1)
8.3.2 Initiation of Yield
373(1)
8.3.3 Elastic-Plastic Expansion
374(2)
8.3.4 Combined Steady-State Heat Flow and Internal Pressure
376(2)
Problems
378(3)
References
381(2)
9 Three-Dimensional Problems
383(74)
9.1 Elongation of a Prismatic Bar due to Its Own Weight
383(5)
9.2 3D Axisymmetric Deformations of Solids
388(5)
9.2.1 Polar Coordinates and Legendre Functions
390(3)
9.3 Rotation of a Circular Disk
393(3)
9.4 Force at a Point in an Infinite Solid
396(5)
9.5 Stress Concentration around a Spherical Cavity
401(3)
9.6 Concentrated Force on Boundary of a Semi-Infinite Solid
404(4)
9.7 Uniform Load Distributed over a Part of the Boundary of a Semi-Infinite Solid
408(3)
9.7.1 Uniform Load Distributed over a Circular Area of Radius a
409(1)
9.7.2 Uniform Pressure Distributed over Squares and Rectangles
410(1)
9.8 Contact Problems in Three Dimensions
411(22)
9.8.1 Solution Depending on One Harmonic Function
412(3)
9.8.2 General Solution of 3D Contact Problems
415(5)
9.8.3 Contact Problems for Solids Containing Cavities
420(8)
9.8.4 Contact between Two Spherical Bodies: Hertz Problem
428(5)
9.9 A Semi-Infinite Plane Cut or Crack in an Infinite Body
433(15)
9.9.1 Plane Crack Problem
433(2)
9.9.2 Symmetric Normal Loads
435(4)
9.9.3 Antisymmetric Shear Loading Normal to Crack Edge
439(4)
9.9.4 Antisymmetric Shear Loading Parallel to Crack-Edge
443(5)
9.10 Deformation of a Circular Cylinder
448(9)
9.10.1 Pressure Band of Finite Length Acting on a Long Cylinder
451(1)
Problems
452(2)
References
454(3)
10 Three-Dimensional Thermal Stresses
457(62)
10.1 General Equations
457(2)
10.2 Thin Circular Disk (Plane Stress)
459(1)
10.3 Long Circular Cylinder (Plane Strain)
460(6)
10.3.1 Solid Cylinder
462(2)
10.3.2 Cylinder with a Concentric Central Hole
464(2)
10.4 Thermal Stresses in a Sphere
466(3)
10.4.1 Solid Sphere
467(1)
10.4.2 Sphere with a Spherical Hole at the Center
468(1)
10.5 Thermoelastic Displacement Potential
469(5)
10.5.1 Plane Strain Case
471(1)
10.5.2 Plane Stress (Thin Plate)
471(3)
10.6 Structural Members Containing Flaws or Cracks
474(45)
10.6.1 Circular Crack
474(9)
10.6.2 External Circular Crack
483(4)
10.6.3 Elliptical Crack
487(2)
10.6.3.1 Symmetrical Case: Constant Temperature on Crack Surface
489(3)
10.6.3.2 Skew-Symmetric Case: Insulated Elliptical Crack
492(3)
10.6.3.3 Symmetrical Case: Polynomial Temperature Specified on Crack Surface
495(3)
10.6.3.4 Skew-Symmetric Case: Polynomial Temperature Gradient Specified on Crack Surface
498(5)
10.6.4 Semi-Infinite Plane Crack
503(12)
Problems
515(2)
References
517(2)
11 Solutions to Selected Problems
519(20)
Index 539
Mumtaz Kassir has had a long career based around his experience and expertise in structural engineering and engineering mechanics. He received his BSc degree from the University of Manchester (UK), his MS degree in Structural Engineering from Stanford University, and his PhD in Applied Mechanics from Lehigh University. Dr. Kassir worked as a civil engineer in Baghdad, Iraq, and was also an instructor at the University of Baghdad. He joined the faculty CCNY- CUNY (City University of New York), becoming a full professor in 1976, and serving as Associate Dean for Graduate Studies and Executive Officer of the PhD program in Engineering until his retirement in 2014. He is the author, with Dr. G. Sih, of the book THREE-DIMENSIONAL CRACK PROBLEMS. He has written over fifty journal publications, and numerous technical reports, and international conference presentations. He has also been the Principal Investigator and Co-Principal Investigator for several major grant projects.