Surface formulation for molecular interactions of macroscopic bodies

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 7, 1997, Pages 1161-1183

  Argento, C ^a   Jagota, A ^b   Carter, W C ^c  

^a DUPONT COMPANY   (United States)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

^c NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

A. adhesion and adhesives; B. contact mechanics; B. granular material; C. numerical algorithms

Indexed keywords

ADHESION; ADHESIVES; ALGORITHMS; GRANULAR MATERIALS; INTERFACES (MATERIALS); INTERFACIAL ENERGY; MATHEMATICAL MODELS; SURFACE TENSION; TENSORS;

MACROSCOPIC BODIES; MOLECULAR INTERACTIONS; YOUNG-LAPLACE EQUATION;

MATERIALS SCIENCE;

EID: 0031189785     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(96)00121-4     Document Type: Article

References (32)

1. ABAQUS (TM), Hibbit, Karlsson & Sorensen, Inc.
2. Adamson, A. W. (1976) Physical Chemistry of Surfaces, 3rd edn., John Wiley and Sons.
3. Anandrajah, A. and Chen, J. (1995) Single correction function for computing retarded van der Waals attraction. J. Colloid Interface Sci. 176, 293-300.
4. Argento, C. and French, R. H. (1996) Parametric tip model and force-distance relation for Hamaker constant determination from atomic force microscopy. J. Appl. Phys. 80(11), 6081-6090.
5. Argento, C. and Jagota, A. (1996) A surface finite element for molecular interactions, in preparation.
6. Batchelor, G. K. (1967) An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge, UK.
7. Bradley, R. S. (1932) The cohesive force between solid surfaces and the surface energy of solids. Phil. Mag. 13, 853-862.
8. Carter, W. C., Roosen, A. R., Calm, J. W. and Taylor, J. E. (1995) Shape evolution by surface diffusion and surface attachment limited kinetics on completely faceted surfaces. Acta Metall. Mater. 43, 12, 4309-4323.
9. Chan, D. Y. C., Hughes, B. D. and White, L. R. (1987) A physically consistent theory of fracture in a brittle solid. J. Colloid Interface Sci. 115(1), 240-259.
10. de Boer, J. H. (1936) The influence of van der Waals' forces and primary bonds on binding energy, strength and orientation, with special reference to some artificial resins. Trans. Faraday Soc. 32, 10-38.
11. Defay, R., Prigogine, L. and Bellemans, A. (1966) Surface Tension and Adsorption, translated by D. H. Everett. Longmans, Green, & Co., London
12. Derjaguin, B. V. (1934) Untersuchungen uber die Reibung und Adhasion, IV, (Investigations concerning friction and adhesion IV). Kolloid Z. 69, 155-164.
13. Derjaguin, B. V., Muller, V. M. and Toporov, Y. P. (1975) Effect of contact deformations on the adhesion of particles. J. Colloid Interface Sci. 52(2), 314-326.
14. Hamaker, H. C. (1937) The London-van der Waals attraction between spherical particles. Physica 4, 1058-1072.
15. Hartmann, U. (1991) Theory of van der Waals microscopy. J. Vac. Sci. Technol. B9(2), 465-469.
16. Herring, C. (1953) The use of classical macroscopic concepts in surface-energy problems. In Structure and Properties of Solid Surfaces, ed. R. Gomer and C. S. Smith. University of Chicago Press.
17. Hertz, H. (1896) Miscellaneous Papers. Macmillan, London.
18. Hiram, Y. and Nir, A. (1983) A Simulation of surface tension drive coalescence. J. Colloid Interface Sci. 95(2), 462-470.
19. Hughes, B. D. and White, L. R. (1979) Soft contact problems in linear elasticity. Q. J. Mech. App. Math 32(4), 445-471.
20. Israelachvili, J. (1991) Intermolecular and Surface Forces, 2nd edn. Academic Press, San Diego, USA.
21. Jagota, A. and Dawson, P. R. (1983) Simulation of viscous sintering of two particles. J. Am. Ceram. Soc. 73(1), 173-177.
22. Johnson, K. L., Kendall, K. and Roberts, A. D. (1971) Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. A324, 301-313.
23. Landman, U., Luedtke, W. D., Burnham, N. A. and Colton, R. J. (1990) Atomistic mechanism and dynamics of adhesion, nanoidentation and fracture. Science 248, 454-461.
24. Lawn, B. R. (1993) Fracture of Brittle Solids, 2nd edn. Cambridge University, New York.
25. London, F. (1937) The general theory of molecular forces. Trans. Faraday Soc. 33, 9-26.
26. Muller, V. M., Yushchenko, V. S. and Derjaguin, B. V. (1980) J. Colloid and Interface Sci. 77(1), 91-101.
27. Orowan, E. (1970) Surface energy and surface tension in solids and liquids. Proc. R. Soc. Lond. A316, 473-491.
28. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, S. A. (1986) Numerical Recipes. Cambridge University Press.
29. Rowlinson, J. S. and Widom, B. (1982) Molecular Theory of Capillarity. Oxford University Press, New York.
30. Tabor, D. (1977) Surface forces and surface interactions. J. Colloid Interface Sci. 58(1), 2-13.
31. van de Vorst, G. A. L. (1993) Integral method for a two-dimensional Stokes flow with shrinking holes applied to viscous sintering. J. Fluid. Mech. 257, 667-689.
32. Woodruff, D. P. (1973) The Solid-Liquid Interface. Cambridge University Press, Cambridge, UK.