Nanomechanics of Structures and Materials highlights and compares the advantages and disadvantages of diverse modeling and analysis techniques across a wide spectrum of different nanostructures and nanomaterials. It focuses on the behavior of media with nanostructural features where the classic continuum theory ceases to hold and augmented continuum theories such as nonlocal theory, gradient theory of elasticity, and the surface elasticity model should be adopted. These generalized frameworks, tailored to address the intricate characteristics inherent at the nanoscale level, are discussed in depth, and their application to a variety of different materials and structures, including graphene, shells, arches, nanobeams, carbon nanotubes, porous materials, and more, is covered.
Key Features
1. 1: Introduction - p. 63 2. 2: Geometric description of a doubly curved shell structure - p. 65 3. 3: Definition equations - p. 68 4. 4: Constitutive relationship - p. 71 5. 5: Homogenization of a layer reinforced with carbon nanotubes - p. 76 6. 6: Dynamic equilibrium equations - p. 80 7. 7: Numerical implementation - p. 84 8. 8: Numerical examples - p. 87 9. 9: Conclusions - p. 104 10. References - p. 106 11. 4 Love-type surface waves in nonlocal elastic layer over a flexoelectric solid half-space - p. 111 12. 5 The inhomogeneous half-plane with surface elasticity effects under dynamic loads - p. 133 13. 1: Introduction - p. 133 14. 2: Pressure and shear wave propagation in a graded macrocracked half-plane - p. 138 15. 3: Pressure and shear wave propagation in a graded nanocracked half-plane with surface effects - p. 140 16. 4: Nonhypersingular traction boundary integral equation formulation in the frequency domain using the graded half-plane Green’s function - p. 143 17. 5: Numerical implementation using the boundary element method - p. 149 18. 6: The quadratically inhomogeneous half-plane: Green’s functions and free-field wave solution - p. 161 19. 7: Discussion - p. 173 20. 8: Conclusions - p. 174 21. References - p. 175 22. 6 Nonlocal discrete and continuous modeling of free vibration of forests of vertically aligned single-/double-walled carbon nanotubes - p. 181 23. 1: Introduction - p. 181 24. 2: Description of the nanomechanical problem - p. 183 25. 3: On the continuum-based modeling of vdW forces between two SWCNTs/DWCNTs - p. 185 26. 4: Discrete modeling of forest-like configuration of vertically aligned SWCNTs/DWCNTs - p. 187 27. 5: Continuous modeling of the forest-like configuration of vertically aligned DWCNTs - p. 197 28. 6: Results and discussion - p. 203 29. 7: Conclusions - p. 211 30. References - p. 212 31. 7 A stabilized nonordinary peridynamic model for electromechanical coupling problems - p. 221 32. 8 Microstructural effects in periodic nanostructures - p. 251 33. 9 Displacement-driven approach to nonlocal elasticity - p. 277 34. 1: Introduction - p. 277 35. 2: Review of classical integral nonlocal approaches in solid mechanics - p. 280 36. 3: Displacement-driven approach - p. 283 37. 4: Relevance of displacement-driven approach - p. 293 38. 5: Applications of the displacement-driven approach: Modeling of nonlocal plates - p. 302 39. 6: Summary - p. 313 40. References - p. 314 41. 10 Gradient nanomechanics in civil engineering - p. 319 42. 11 Fractional nonlocal elastic rod, beam, and plate models applied to lattice structural mechanics - p. 335 43. Index - p. 361
Nanomechanics of Structures and Materials highlights and compares the advantages and disadvantages of diverse modeling and analysis techniques across a wide spectrum of different nanostructures and nanomaterials. It focuses on the behavior of media with nanostructural features where the classic continuum theory ceases to hold and augmented continuum theories such as nonlocal theory, gradient theory of elasticity, and the surface elasticity model should be adopted. These generalized frameworks, tailored to address the intricate characteristics inherent at the nanoscale level, are discussed in depth, and their application to a variety of different materials and structures, including graphene, shells, arches, nanobeams, carbon nanotubes, porous materials, and more, is covered.
Key Features
1. 1: Introduction - p. 63 2. 2: Geometric description of a doubly curved shell structure - p. 65 3. 3: Definition equations - p. 68 4. 4: Constitutive relationship - p. 71 5. 5: Homogenization of a layer reinforced with carbon nanotubes - p. 76 6. 6: Dynamic equilibrium equations - p. 80 7. 7: Numerical implementation - p. 84 8. 8: Numerical examples - p. 87 9. 9: Conclusions - p. 104 10. References - p. 106 11. 4 Love-type surface waves in nonlocal elastic layer over a flexoelectric solid half-space - p. 111 12. 5 The inhomogeneous half-plane with surface elasticity effects under dynamic loads - p. 133 13. 1: Introduction - p. 133 14. 2: Pressure and shear wave propagation in a graded macrocracked half-plane - p. 138 15. 3: Pressure and shear wave propagation in a graded nanocracked half-plane with surface effects - p. 140 16. 4: Nonhypersingular traction boundary integral equation formulation in the frequency domain using the graded half-plane Green’s function - p. 143 17. 5: Numerical implementation using the boundary element method - p. 149 18. 6: The quadratically inhomogeneous half-plane: Green’s functions and free-field wave solution - p. 161 19. 7: Discussion - p. 173 20. 8: Conclusions - p. 174 21. References - p. 175 22. 6 Nonlocal discrete and continuous modeling of free vibration of forests of vertically aligned single-/double-walled carbon nanotubes - p. 181 23. 1: Introduction - p. 181 24. 2: Description of the nanomechanical problem - p. 183 25. 3: On the continuum-based modeling of vdW forces between two SWCNTs/DWCNTs - p. 185 26. 4: Discrete modeling of forest-like configuration of vertically aligned SWCNTs/DWCNTs - p. 187 27. 5: Continuous modeling of the forest-like configuration of vertically aligned DWCNTs - p. 197 28. 6: Results and discussion - p. 203 29. 7: Conclusions - p. 211 30. References - p. 212 31. 7 A stabilized nonordinary peridynamic model for electromechanical coupling problems - p. 221 32. 8 Microstructural effects in periodic nanostructures - p. 251 33. 9 Displacement-driven approach to nonlocal elasticity - p. 277 34. 1: Introduction - p. 277 35. 2: Review of classical integral nonlocal approaches in solid mechanics - p. 280 36. 3: Displacement-driven approach - p. 283 37. 4: Relevance of displacement-driven approach - p. 293 38. 5: Applications of the displacement-driven approach: Modeling of nonlocal plates - p. 302 39. 6: Summary - p. 313 40. References - p. 314 41. 10 Gradient nanomechanics in civil engineering - p. 319 42. 11 Fractional nonlocal elastic rod, beam, and plate models applied to lattice structural mechanics - p. 335 43. Index - p. 361
