Mechanics of Solids and Materials

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.

In synthesizing traditional and innovative topics in solid mechanics and materials science, and utilizing extensive math to generate solutions to physical problems, Mechanics of Solids and Materials provides a modern and integrated treatment of the foundations of solid mechanics applied to the mathematical description of material behavior.