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Intermediate Solid Mechanics [Kõva köide]

, (University of California, San Diego)
  • Formaat: Hardback, 500 pages, kõrgus x laius x paksus: 253x179x28 mm, kaal: 1100 g, Worked examples or Exercises; 446 Line drawings, black and white
  • Ilmumisaeg: 09-Jan-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1108499600
  • ISBN-13: 9781108499606
Teised raamatud teemal:
Intermediate Solid MechanicsSuurem pilt
  • Formaat: Hardback, 500 pages, kõrgus x laius x paksus: 253x179x28 mm, kaal: 1100 g, Worked examples or Exercises; 446 Line drawings, black and white
  • Ilmumisaeg: 09-Jan-2020
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1108499600
  • ISBN-13: 9781108499606
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781108499606.html
Märksõnad:
A concise yet comprehensive treatment of the fundamentals of solid mechanics, including a wealth of solved examples, assigned exercises, and homework problems. It is ideal for undergraduate and graduate students taking courses on the topic across aerospace, civil and mechanical engineering, and materials science.

Based on class-tested material, this concise yet comprehensive treatment of the fundamentals of solid mechanics is ideal for those taking single-semester courses on the subject. It provides interdisciplinary coverage of the key topics, combining solid mechanics with structural design applications, mechanical behavior of materials, and the finite element method. Part I covers basic theory, including the analysis of stress and strain, Hooke's law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. With a wealth of solved examples, assigned exercises, and 130 homework problems, and a solutions manual available online, this is ideal for senior undergraduates studying solid mechanics, and graduates taking introductory courses in solid mechanics and theory of elasticity, across aerospace, civil and mechanical engineering, and materials science.

Arvustused

'The Lubardas, a father-son duo, deliver a unique and well-balanced textbook on solid mechanics. The material is presented at the intermediate level, and is tested by many years of well-received classroom instruction by both authors in their respective institutions. The authors take the reader from basic concepts of traction, stress, and strain, to boundary-value problems in elasticity, and finish with more advanced topics, such as contact, variational principles, and failure criteria. The book is well suited for advanced undergraduate students as a course textbook, as well as for first- and second-year graduate students as a reference for more advanced courses in solid mechanics. The book strikes an excellent balance between theory and application examples, and presents a perfect jumping-off point to study more advanced topics in solid mechanics, such as damage, plasticity, fracture, and advanced numerical approaches such as the Finite Element Method.' Yuri Bazilevs, Brown University 'A very useful and accessible introduction to solid mechanics. The book contains many illustrations and a broad range of applications, which make it a reading pleasure with many insights.' Horacio Espinosa, Northwestern University 'A remarkable text covering a vast range of topics and problems in solid mechanics, this unique work provides clear and thorough coverage suitable for beginning students, advanced students and practitioners. The treatment starts with basic concepts concerning deformation, stress and equilibrium, progresses to elementary and intermediate strength of materials, moves on to advanced topics in elasticity including fracture and the stress and deformation fields around dislocations, and from there to three-dimensional problems including a lucid treatment of the all-important Hertzian contact problem. This major work includes a comprehensive discussion of material failure criteria and culminates in a thorough treatment of energy methods underlying modern finite-element analysis. The work reflects the singular devotion of its authors to all aspects of solid mechanics.' David Steigmann, University of California, Berkeley 'This is a well-written, balanced textbook on solid mechanics, aimed at advanced undergraduate or first-year graduate-student audiences in applied mechanics or mechanical engineering.' J. Lambropoulos, Choice

Muu info

A concise yet comprehensive treatment of the fundamentals of solid mechanics, including solved examples, exercises, and homework problems.
Preface page xi
Part I Fundamentals of Solid Mechanics 1(140)
1 Analysis of Stress
3(28)
1.1 Traction Vector
3(3)
1.2 Cauchy Relation for Traction Vectors
6(1)
1.3 Normal and Shear Stresses over an Inclined Plane
7(2)
1.4 Tensorial Nature of Stress
9(1)
1.5 Principal Stresses: 2D State of Stress
10(2)
1.6 Maximum Shear Stress: 2D Case
12(2)
1.7 Mohr's Circle for 2D State of Stress
14(2)
1.8 Principal Stresses: 3D State of Stress
16(2)
1.9 Maximum Shear Stress: 3D Case
18(2)
1.10 Mohr's Circles for 3D State of Stress
20(2)
1.11 Deviatoric and Spherical Parts of Stress
22(1)
1.12 Octahedral Shear Stress
23(1)
1.13 Differential Equations of Equilibrium
24(3)
Problems
27(4)
2 Analysis of Strain
31(20)
2.1 Longitudinal and Shear Strains
31(2)
2.2 Tensorial Nature of Strain
33(1)
2.3 Dilatation and Shear Strain for Arbitrary Directions
34(2)
2.4 Principal Strains
36(1)
2.5 Maximum Shear Strain
36(1)
2.6 Areal and Volumetric Strains
37(1)
2.7 Deviatoric and Spherical Parts of Strain
38(1)
2.8 Strain-Displacement Relations
39(3)
2.9 Saint-Venant Compatibility Conditions
42(2)
2.10 Rotation Tensor
44(1)
2.11 Determination of Displacements from the Strain Field
45(2)
Problems
47(4)
3 Stress-Strain Relations
51(30)
3.1 Linear Elasticity and Hooke's Law
51(2)
3.2 Generalized Hooke's Law
53(2)
3.3 Shear Stress-Strain Relations
55(2)
3.4 Pressure-Volume Relation
57(4)
3.5 Inverted Form of the Generalized Hooke's Law
61(4)
3.6 Deviatoric Stress - Deviatoric Strain Relations
65(2)
3.7 Beltrami-Michell Compatibility Equations
67(1)
3.8 Hooke's Law with Temperature Effects: Duhamel-Neumann Law
68(5)
3.9 Stress Compatibility Equations with Temperature Effects
73(1)
3.10 Plane Strain with Temperature Effects
73(4)
Problems
77(4)
4 Boundary-Value Problems of Elasticity
81(22)
4.1 Boundary-Value Problem in Terms of Stresses
82(1)
4.2 Boundary-Value Problem in Terms of Displacements: Navier Equations
83(3)
4.3 Principle of Superposition
86(1)
4.4 Semi-Inverse Method of Solution
87(1)
4.5 Saint-Venant's Principle
87(1)
4.6 Stretching of a Prismatic Bar by Its Own Weight
88(3)
4.7 Thermal Expansion of a Compressed Prismatic Bar in a Rigid Container
91(1)
4.8 Pure Bending of a Prismatic Beam
92(4)
4.9 Torsion of a Prismatic Rod of Circular Cross Section
96(3)
Problems
99(4)
5 Boundary-Value Problems: Cylindrical Coordinates
103(38)
5.1 Equilibrium Equations in Cylindrical Coordinates
103(3)
5.2 Strain-Displacement Relations
106(2)
5.3 Geometric Derivation of Strain-Displacement Relations
108(3)
5.4 Compatibility Equations
111(2)
5.5 Generalized Hooke's Law in Cylindrical Coordinates
113(1)
5.6 Navier Equations in Cylindrical Coordinates
113(1)
5.7 Beltrami-Michell Compatibility Equations in Cylindrical Coordinates
114(1)
5.8 Axisymmetric Plane Strain Deformation
115(2)
5.9 Pressurized Hollow Cylinder
117(7)
5.10 Pressurized Thin-Walled Cylinder
124(1)
5.11 Pressurized Solid Cylinder
125(2)
5.12 Pressurized Circular Hole in an Infinite Medium
127(1)
5.13 Shrink-Fit Problem
128(1)
5.14 Axial Loading of a Hollow Cylinder
129(1)
5.15 Axially Loaded Pressurized Hollow Cylinder
130(2)
5.16 Spherical Symmetry
132(3)
Problems
135(6)
Part II Applications 141(337)
6 Two-Dimensional Problems of Elasticity
143(25)
6.1 Plane Stress Problems
143(2)
6.2 Beltrami-Michell Compatibility Equation
145(1)
6.3 Airy Stress Function
146(1)
6.4 Pure Bending of a Thin Beam
147(3)
6.5 Bending of a Cantilever Beam
150(2)
6.6 Bending of a Simply Supported Beam by a Distributed Load
152(1)
6.7 Approximate Character of the Plane Stress Solution
153(3)
6.8 Plane Strain Problems
156(4)
6.9 Governing Equations of Plane Strain
160(1)
6.10 Transition from Plane Stress to Plane Strain
160(3)
Problems
163(5)
7 Two-Dimensional Problems in Polar Coordinates
168(60)
7.1 Introduction
168(4)
7.2 Axisymmetric Problems
172(2)
7.3 Non-axisymmetric Problems
174(4)
7.4 Flamant Problem: Vertical Force on a Half-Plane
178(4)
7.5 Distributed Loading over the Boundary of a Half-Space
182(4)
7.6 Michell Problem: Diametral Compression of a Circular Disk
186(3)
7.7 Kirsch Problem: Stretching of a Perforated Plate
189(11)
7.8 Stretching of an Infinite Plate Weakened by an Elliptical Hole
200(3)
7.9 Stretching of a Plate Strengthened by a Circular Inhomogeneity
203(4)
7.10 Rotating Disk
207(2)
7.11 Stress Field near a Crack Tip
209(5)
7.12 Edge Dislocation
214(4)
7.13 Force Acting at a Point of an Infinite Plate
218(3)
Problems
221(7)
8 Antiplane Shear
228(31)
8.1 Governing Equations for Antiplane Shear
228(3)
8.2 Antiplane Shear of a Circular Annulus
231(1)
8.3 Concentrated Line Force on the Surface of a Half-Space
232(2)
8.4 Infinite Medium Weakened by a Circular Hole
234(2)
8.5 Infinite Medium Weakened by an Elliptical Hole
236(2)
8.6 Infinite Medium Strengthened by a Circular Inhomogeneity
238(2)
8.7 Stress Field near a Crack Tip under Remote Antiplane Shear Loading
240(3)
8.8 Screw Dislocation
243(2)
8.9 Screw Dislocation in a Half-Space
245(2)
8.10 Screw Dislocation near a Circular Hole in an Infinite Medium
247(4)
8.11 Screw Dislocation near a Circular Inhomogeneity
251(2)
Problems
253(6)
9 Torsion of Prismatic Rods
259(48)
9.1 Torsion of a Prismatic Rod of Solid Cross Section
259(2)
9.2 Boundary Conditions on the Lateral Surface of a Rod
261(2)
9.3 Boundary Conditions at the Ends of a Rod
263(1)
9.4 Displacement Field in a Twisted Rod
264(4)
9.5 Torsional Stiffness
268(1)
9.6 Membrane Analogy
269(1)
9.7 Torsion of a Rod of Elliptical Cross Section
270(3)
9.8 Torsion of a Rod of Triangular Cross Section
273(2)
9.9 Torsion of a Rod of Grooved Circular Cross Section
275(1)
9.10 Torsion of a Rod of Semi-circular Cross Section
276(1)
9.11 Torsion of a Rod of Rectangular Cross Section
277(3)
9.12 Torsion of a Rod of Thin-Walled Open Cross Section
280(3)
9.13 Warping of a Thin-Walled Open Cross Section
283(4)
9.14 Torsion of a Rod of Multiply Connected Cross Section
287(2)
9.15 Torsion of a Rod of Thin-Walled Closed Cross Section
289(5)
9.16 Warping of a Thin-Walled Closed Cross Section
294(3)
9.17 Torsion of a Rod of Thin-Walled Open/Closed Cross Section
297(1)
9.18 Torsion of a Rod of Multicell Cross Section
298(4)
Problems
302(5)
10 Bending of Prismatic Beams
307(46)
10.1 Bending of a Cantilever Beam of Solid Cross Section
307(2)
10.2 Differential Equation for the Stress Field
309(3)
10.3 Displacement Field in a Bent Cantilever Beam
312(1)
10.4 Shear (Flexural) Center
313(1)
10.5 Bending of a Beam of Elliptical Cross Section
314(2)
10.6 Bending of a Beam of Circular Cross Section
316(2)
10.7 Bending of a Beam of Rectangular Cross Section
318(3)
10.8 Elementary Theory for Shear Stresses
321(2)
10.9 Bending of a Beam of Thin-Walled Open Cross Section
323(5)
10.10 Skew Bending of a Thin-Walled Cantilever Beam
328(1)
10.11 Bending of a Hollow Prismatic Beam
329(2)
10.12 Bending of a Beam of Hollow Circular Cross Section
331(2)
10.13 Bending of a Beam of Thin-Walled Closed Cross Section
333(5)
10.14 Bending of a Beam of Multicell Cross Section
338(4)
10.15 Stress Expressions with Respect to Non-principal Centroidal Axes
342(5)
Problems
347(6)
11 Contact Problems
353(33)
11.1 Axisymmetric Problems in Cylindrical Coordinates
354(1)
11.2 Concentrated Force in an Infinite Space: Kelvin Problem
355(3)
11.3 Concentrated Force on the Surface of a Half-Space: Boussinesq Problem
358(2)
11.4 Ellipsoidal Pressure Distribution
360(3)
11.5 Indentation by a Spherical Ball
363(3)
11.6 Uniform Pressure within a Circular Area
366(2)
11.7 Flat Circular Frictionless Punch
368(1)
11.8 Hertz Problem: Two Spherical Bodies in Contact
369(7)
11.9 Two Circular Cylinders in Contact
376(3)
Problems
379(7)
12 Energy Methods
386(52)
12.1 Strain Energy in Uniaxial Tension Test
387(1)
12.2 Strain Energy for Three-Dimensional States of Stress and Strain
388(4)
12.3 Volumetric and Deviatoric Strain Energy
392(3)
12.4 Betti's Reciprocal Theorem
395(3)
12.5 Castigliano's Theorems
398(1)
12.6 Principle of Virtual Work
399(2)
12.7 Potential Energy and the Variational Principle
401(1)
12.8 Application to Structural Mechanics
402(8)
12.9 Derivation of the Beam Bending Equation from the Principle of Virtual Work
410(2)
12.10 Finite Element Method for Beam Bending
412(8)
12.11 Rayleigh-Ritz Method
420(3)
12.12 Finite Element Method for Axial Loading
423(10)
Problems
433(5)
13 Failure Criteria
438(40)
13.1 Maximum Principal Stress Criterion
439(1)
13.2 Maximum Principal Strain Criterion
440(2)
13.3 Maximum Shear Stress Criterion: Tresca Yield Criterion
442(3)
13.4 Maximum Deviatoric Strain Energy Criterion: Von Mises Yield Criterion
445(4)
13.5 Mohr Failure Criterion
449(4)
13.6 Coulomb-Mohr Failure Criterion
453(3)
13.7 Drucker-Prager Failure Criterion
456(3)
13.8 Fracture-Mechanics-Based Failure Criteria
459(3)
13.9 Double-Cantilever Specimen
462(2)
13.10 Fracture Criterion in Terms of the Stress Intensity Factor
464(6)
13.11 J Integral
470(2)
Problems
472(6)
Further Reading 478(3)
Index 481
Marko V. Lubarda is an Assistant Professor of Polytechnics at the University of Donja Gorica, Montenegro, and a visiting lecturer in the Mechanical and Aerospace Engineering and Structural Engineering Departments at the University of California, San Diego. Vlado A. Lubarda is a Professor of Applied Mechanics in the NanoEngineering Department at the University of California, San Diego. He is the co-author of Mechanics of Solids and Materials (Cambridge, 2006).