Newtonian mechanics in scale of minutia

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Volumn 222, Issue 4, 2008, Pages 393-405

  Teodorescu, M ^a   Rahnejat, H ^b  

^a CRANFIELD UNIVERSITY   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Adhesion; Contact mechanics; Hydration; Meniscus; Micro and nanoscale contacts; Van der Waals; Viscous flow

Indexed keywords

BIOLOGICAL SYSTEMS; FLOW INTERACTIONS; FLUID DYNAMICS; NANOSTRUCTURED MATERIALS; NANOTECHNOLOGY; SURFACE CHEMISTRY; SURFACE ROUGHNESS; SURFACE TENSION; VAN DER WAALS FORCES;

ATMOSPHERIC MOISTURES; BULK PROPERTIES; CONTACT MECHANICS; FORCE LAWS; INTERACTION POTENTIALS; KEY PARAMETERS; MENISCUS; MICRO- AND NANOSCALE CONTACTS; MINUTIA; NANOSCALE; NANOSCALE CONTACTS; NEWTONIAN MECHANICS; NEWTONIANS; SMALL DEVICES; SMALL SCALES; SURFACE ENERGY EFFECTS; SURFACE FREE ENERGIES; VAN DER WAALS;

MECHANICS;

EID: 57349119840     PISSN: 14644193     EISSN: None     Source Type: Journal    
DOI: 10.1243/14644193JMBD163     Document Type: Article

References (44)

1. Rahnejat, H. Physics of causality and continuum: questioning nature. Proc. IMechE, Part K: J. Multi-body Dynamics, 2008, 222(K4), 255-264 (this issue).
2. de Coulomb, C. A. Recherches theorique et experimentales sur la force de torsim et l'élasticité des fils de metal, 1784 (L Académie Royal des Sciences, Paris).
3. Newton, I. Philosophiae naturalis principia mathematics, 1687 (Royal Society, London).
4. Maxwell, J. C. A dynamical theory of the electromagnetic field, 1865 (Royal Society, London).
5. Bohr, N. On the constitution of atoms and molecules (part 1 of 3). Philos. Mag., 1983, 26, 1-25.
6. Bohr, N. On the constitution of atoms and molecules, part II systems containing only a single nucleus. Philos. Mag., 1913, 26, 476-502.
7. Bohr, N. On the constitution of atoms and molecules, part III. Philos. Mag., 1913, 26, 857-875.
8. Einstein, A. Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Ann. Phys. (Leipzig), 1905, 17, 132.
9. Planck, M. Über irreversible Strahlungsvorgänge. Annalen der Physik, 1900, 1, 6.
10. Einstein, A. Die Feldgleichungen der Gravitation. Sitzungsberichte der Königlich Preussischen. Akademie der Wissenschaften, 1915, pp. 844-847.
11. Navier, L. M. H. Memoire sur les lois du mouvement des fluides, vol. 6, 1827 (Memoires de l'Academie Royale des Sciences, Paris).
12. Stokes, G. G. On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids. Trans. Camb. Phil. Soc., 1845, 8, 287-305.
13. Poisson, S. D. Memoire sur les equations generales d'equilibre et du mouvement des corps solides elastiques et des fluides. J.. de l'Ecole Polytech., 1831, 13, 1.
14. Reynolds, O. On the theory of lubrication and its application to Mr Beauchamp Tower's experiments, including an experimental determination of the viscosity of olive oil. Phil. Trans. R. Soc., 1886, 177, 157-234.
15. Hertz, H. On the contact of elastic solids. J. Reine Angew. Math., 1882, 92, 156-171.
16. Lundberg, G. Elastiche Geruhurng zweir Helbraume. Forschung auf dem Geb. Des Engenieurswesens, 1961, 10(5), 165-174.
17. Leibniz, G. Hypothesis physica nova, 1671 (Hanover).
18. Dowson, D. and Wang, D. An analysis of the normal bouncing of a solid elastic ball on an oily plate. Wear, 1994, 179, 29-37.
19. Al-Samieh, M. F. and Rahnejat, H. Physics of lubricated impact of a sphere on a plate in a narrow continuum to gaps of molecular dimensions./. Phys. D: Appl. Phys., 2002, 35, 1-16.
20. Eyring, H. Viscosity, plasticity and diffusion as examples of reaction rates. J. Chem. Phys., 1936, 4, 283.
21. Chan, D. Y. C. and Horn, R. G. The drainage of the thin liquid films between solid surfaces. J. Chem. Phys., 1984, 83, 5311-5324.
22. Matsuoka, H. and Kato, T. An ultra-thin liquid film lubrication theory- calculation method of solvation pressure and its applications to EHL problem. Trans. ASME, J. Tribol., 1997, 119, 217-226.
23. Al-Samieh, M. F. and Rahnejat, H. Ultra-thin lubricating films under transient conditions. J. Phys. D: Appl. Phys., 2001, 34, 2610-2621.
24. Teodorescu, M., Balakrishnan, S., and Rahnejat, H. Physics of ultra-thin surface films on molecularly smooth surfaces. Proc. IMechE, Part N: J. Nanoengineering and Nanosystems, 2006, 220(1), 7-19.
25. Kepler, J. Astronomia nova, 1609 (Prague).
26. Autumn, K., Majidi, C., Groff, R. E., Dittmore, A., and Fearing, R. S. Effective elastic modulus of isolated gecko setal arrays. J. Expl Biol., 2006, 209, 3558-3568.
27. Lee, J., Majidi, C., Schubert, B., and Fearing, R. S. Sliding-induced adhesion of stiff polymer microfiber arrays. I. Macroscale behaviour. J. R. Soc., 2008 (DOI: 10.1098/rsif.2007.1308).
28. Schubert, B., Lee, J., Majidi, C., and Fearing, R. S. Sliding-induced adhesion of stiff polymer microfiber arrays. II. Microscale behaviour. J. R., Soc., 2008 (DOI: 10.1098/rsif.2007.1309).
29. Teodorescu, M., Theodossiades, S., and Rahnejat, H. Micro-impact dynamics of MEMS gears with rough elastic and SAM protected conjunctions. Tribol. Int. (DOI: 10.1016/j.triboint.2008.05.019).
30. Teodorescu, M., Majidi, C., Fearing, R. S., and Rahnejat, H. Effect of surface roughness on adhesion and friction of microfibers in side contact. In the STLE/ASME International Joint Tribology Conference, Miami, Florida, 20-22 October 2008.
31. Riedo, E., Lévy, F., and Brune, H. Kinetics of capillary condensation in nanoscopic sliding friction. Phys. Rev. Lett., 2002, 88, 185505.
32. Kjellander, R. and Marčelja, S. Perturbation of hydrogen bonding in water near polar surfaces. Chem. Phys. Lett., 1985, 120, 393-396.
33. Attard, P. and Batchelor, M. T. A mechanism for the hydration force demonstrated in a model system. Chem. Phys. Lett., 1988, 149, 206-211.
34. Israelachvili, J. N. and Pashley, R. M. Molecular layering of water at surfaces and origin of repulsive hydration forces. Nature, 1983, 306, 249-250.
35. Pashley, R. Applied colloid and surface chemistry, 2004 (Wiley, New York).
36. Derjaguin, B. V. and Landau, L. Theory of the stability of strongly charged lyophobic sols and the adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochim. (USSR), 1941, 14, 633-662.
37. Verwey, E. J. W. and Overbeek, J. Th. G. Theory of stability of lyophobic coloids, 1948 (Elsevier, Amsterdam).
38. Huber, G. Nanoscale adhesion of individual gecko spatulae explored by atomic force microscopy. PhD Thesis, Universität Stuttgart, Max-Planck-Institut für Metallforschung, 2006.
39. Bhushan, B. and Sayer, A. Surface characterisation and friction of a bio-inspired reversible adhesive tape. Microsyst. Technol., 2007, 13, 71-78.
40. Bocquet, L., Charlaix, E., Ciliberto, S., and Crassous, J. Moisture-induced ageing in granular media and the kinetics of capillarity condensation. Nature, 1998, 396, 735-737.
41. Israelachvili, J. N. Intermolecular and surface forces, 1992 (Academic Press, New York).
42. Teodorescu, M. and Rahnejat, H. Dry and wet nanoscale impact dynamics of rough surfaces with or without a self-assembled mono-layer. Proc. IMechE, Part N: J. Nanoengineering and Nanosystems, 2007, 221(1), 49-58.
43. Huber, G., Mantz, H., Spolenak, R., Mecke, K., Jacobs, K., Gorb, S. N., and Arzt, E. Evidence for capillarity contributions to gecko adhesion from single spatula nanomechanical measurements. Proc Natl Acad. Sci. USA, 2006, 102(45), 16293-16296.
44. Fuller, K. N. G. and Tabor, D. The effect of surface roughness on the adhesion of elastic solids. Proc R. Soc., A, 1975, 345(1642), 327-342.