Mechanics of Solids and Materials intends to provide a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior. The 2006 book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. The extensive use of transform methods to generate solutions makes the…mehr
Mechanics of Solids and Materials intends to provide a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior. The 2006 book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. The extensive use of transform methods to generate solutions makes the book also of interest to structural, mechanical, and aerospace engineers. Plasticity theories, micromechanics, crystal plasticity, energetics of elastic systems, as well as an overall review of math and thermodynamics are also covered in the book.
Part I. Mathematical Preliminaries: 1. Vectors and tensors 2. Basic integral theorems 3. Fourier series and Fourier integrals Part II. Continuum Mechanics: 4. Kinematics of continuum 5. Kinetics of continuum 6. Thermodynamics of continuum 7. Nonlinear elasticity Part III. Linear Elasticity: 8. Governing equations 9. Elastic beam problems 10. Solutions in polar coordinates 11. Torsion and bending of prismatic rods 12. Semi-infinite media 13. Isotropic 3-D solutions 14. Anisotropic 3-D solutions 15. Plane contact problems 16. Deformation of plates Part IV. Micromechanics: 17. Dislocations and cracks: elementary treatment 18. Dislocations in anisotropic media 19. Cracks in anisotropic media 20. The Inclusion Problem 21. Forces and energy in elastic systems 22. Micropolar elasticity Part V. Thin Films and Interfaces: 23. Dislocations in biomaterials 24. Strain relaxation in thin films 25. Stability of planar interfaces Part VI. Plasticity and Viscoplasticity: 26. Phenomenological plasticity 27. Micromechanics of crystallographic slip 28. Crystal plasticity 29. The nature of crystalline deformation: localized plastic deformation 30. Polycrystal plasticity 31. Laminate plasticity Part VII. Biomechanics: 32. Mechanics of a growing mass 33. Constitutive relations for membranes Part VIII. Solved Problems: 34. Solved problems for chapters 1-33.
Part I. Mathematical Preliminaries: 1. Vectors and tensors 2. Basic integral theorems 3. Fourier series and Fourier integrals Part II. Continuum Mechanics: 4. Kinematics of continuum 5. Kinetics of continuum 6. Thermodynamics of continuum 7. Nonlinear elasticity Part III. Linear Elasticity: 8. Governing equations 9. Elastic beam problems 10. Solutions in polar coordinates 11. Torsion and bending of prismatic rods 12. Semi-infinite media 13. Isotropic 3-D solutions 14. Anisotropic 3-D solutions 15. Plane contact problems 16. Deformation of plates Part IV. Micromechanics: 17. Dislocations and cracks: elementary treatment 18. Dislocations in anisotropic media 19. Cracks in anisotropic media 20. The Inclusion Problem 21. Forces and energy in elastic systems 22. Micropolar elasticity Part V. Thin Films and Interfaces: 23. Dislocations in biomaterials 24. Strain relaxation in thin films 25. Stability of planar interfaces Part VI. Plasticity and Viscoplasticity: 26. Phenomenological plasticity 27. Micromechanics of crystallographic slip 28. Crystal plasticity 29. The nature of crystalline deformation: localized plastic deformation 30. Polycrystal plasticity 31. Laminate plasticity Part VII. Biomechanics: 32. Mechanics of a growing mass 33. Constitutive relations for membranes Part VIII. Solved Problems: 34. Solved problems for chapters 1-33.
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