Advanced Mechanics of Solids and Structures provides the classic methods that are essential for a wider audience, but also the advanced techniques based on mechanical behavior, material characterization and anisotropic elasticity with applications to composite materials.
This title provides deep insight on important topics, such as the theory of beams with composite cross sections, slender beams, plates on elastic foundation, Airy’s stress functions, contact stresses and the elastic stability of a variety of structural members.
Mathematical tools, along with advanced methods of integral transforms are provided so the reader can follow along and apply learning.
Therefore, not only is this an essential resource for BSc, MSc, PhD level students, but also a practical guide for researchers, consultants and industrial engineers in the field of mechanical, civil, and structural engineering.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. xii 7. History and Milestones of Mechanics of Solids and Structures - p. xv 8. 1. Stress Theory - p. 1 9. Abstract - p. 1 10. Chapter Outline - p. 1 11. 1.1 Definition of stress - p. 1 12. 1.2 Nomenclature of stresses—stress components of a point - p. 2 13. 1.3 Stress Tensor—Symmetry of Stresses - p. 3 14. 1.4 Stresses components on an arbitrary plane ABC - p. 5 15. 1.5 Normal and shear stress on an arbitrary plane ABC - p. 7 16. 1.6 Stress vector transformation to a rotated coordinate system - p. 9 17. 1.7 Stress tensor transformation to a rotated coordinate system - p. 12 18. 1.8 Principal Stresses - p. 14 19. 1.9 Orientation l, m, n of the Principal Planes - p. 21 20. 1.10 Octahedral Stresses - p. 22 21. 1.11 Spherical and Deviatoric stress tensor - p. 26 22. 1.12 Plane Stress: Stress Tensor in Rotated Coordinate System - p. 27 23. 1.13 Differential Equations of Motion in Cartesian Coordinate System - p. 30 24. 1.14 Differential Equations of Motion in Polar Coordinate System - p. 38 25. References - p. 42 26. 2. Strain Theory - p. 43 27. 3. Constitutive Equations for Isotropic and Anisotropic Solids - p. 65 28. 4. Material Testing and Characterization - p. 83 29. 5. Inelastic Material Response and Yield Criteria - p. 95 30. 6. Bending Theory of Beams - p. 117 31. 7. Torsion Theory of Beams - p. 145 32. 8. Energy Methods - p. 179 33. Abstract - p. 179 34. Chapter Outline - p. 179 35. 8.1 Law of Conservation of Energy (First Law of Thermodynamics) - p. 180 36. 8.2 The Principle of Virtual Work - p. 186 37. 8.3 The principle of minimum potential energy - p. 188 38. 8.4 Castigliano’s Theorem - p. 189 39. Appendix: Gauss Divergence Theorem - p. 217 40. References - p. 218 41. 9. Flat Plates - p. 219 42. 10. Airy Stress Function and Stress Concentration - p. 243 43. 11. Thick-Wall and Compound Cylinders - p. 267 44. 12. Contact Stresses - p. 281 45. 13. Elastic Stability - p. 295 46. 14. Elements of the Mechanics of Composite Materials - p. 311 47. Appendix. Solid Mechanics Problems With Solutions - p. 325 48. Index - p. 361
Advanced Mechanics of Solids and Structures provides the classic methods that are essential for a wider audience, but also the advanced techniques based on mechanical behavior, material characterization and anisotropic elasticity with applications to composite materials.
This title provides deep insight on important topics, such as the theory of beams with composite cross sections, slender beams, plates on elastic foundation, Airy’s stress functions, contact stresses and the elastic stability of a variety of structural members.
Mathematical tools, along with advanced methods of integral transforms are provided so the reader can follow along and apply learning.
Therefore, not only is this an essential resource for BSc, MSc, PhD level students, but also a practical guide for researchers, consultants and industrial engineers in the field of mechanical, civil, and structural engineering.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. xii 7. History and Milestones of Mechanics of Solids and Structures - p. xv 8. 1. Stress Theory - p. 1 9. Abstract - p. 1 10. Chapter Outline - p. 1 11. 1.1 Definition of stress - p. 1 12. 1.2 Nomenclature of stresses—stress components of a point - p. 2 13. 1.3 Stress Tensor—Symmetry of Stresses - p. 3 14. 1.4 Stresses components on an arbitrary plane ABC - p. 5 15. 1.5 Normal and shear stress on an arbitrary plane ABC - p. 7 16. 1.6 Stress vector transformation to a rotated coordinate system - p. 9 17. 1.7 Stress tensor transformation to a rotated coordinate system - p. 12 18. 1.8 Principal Stresses - p. 14 19. 1.9 Orientation l, m, n of the Principal Planes - p. 21 20. 1.10 Octahedral Stresses - p. 22 21. 1.11 Spherical and Deviatoric stress tensor - p. 26 22. 1.12 Plane Stress: Stress Tensor in Rotated Coordinate System - p. 27 23. 1.13 Differential Equations of Motion in Cartesian Coordinate System - p. 30 24. 1.14 Differential Equations of Motion in Polar Coordinate System - p. 38 25. References - p. 42 26. 2. Strain Theory - p. 43 27. 3. Constitutive Equations for Isotropic and Anisotropic Solids - p. 65 28. 4. Material Testing and Characterization - p. 83 29. 5. Inelastic Material Response and Yield Criteria - p. 95 30. 6. Bending Theory of Beams - p. 117 31. 7. Torsion Theory of Beams - p. 145 32. 8. Energy Methods - p. 179 33. Abstract - p. 179 34. Chapter Outline - p. 179 35. 8.1 Law of Conservation of Energy (First Law of Thermodynamics) - p. 180 36. 8.2 The Principle of Virtual Work - p. 186 37. 8.3 The principle of minimum potential energy - p. 188 38. 8.4 Castigliano’s Theorem - p. 189 39. Appendix: Gauss Divergence Theorem - p. 217 40. References - p. 218 41. 9. Flat Plates - p. 219 42. 10. Airy Stress Function and Stress Concentration - p. 243 43. 11. Thick-Wall and Compound Cylinders - p. 267 44. 12. Contact Stresses - p. 281 45. 13. Elastic Stability - p. 295 46. 14. Elements of the Mechanics of Composite Materials - p. 311 47. Appendix. Solid Mechanics Problems With Solutions - p. 325 48. Index - p. 361
