 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Yu. Yu. Makhovskaya, "Discrete contact of elastic bodies in the presence of adhesion," Mech. Solids. 38 (2), 39-48 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
39-48 |
| Title |
Discrete contact of elastic bodies in the presence of adhesion |
| Author(s) |
Yu. Yu. Makhovskaya (Moscow) |
| Abstract |
The adhesive interaction between a periodic system of punches and
an elastic half-space is analyzed. The adhesion is accounted for by
either molecular attraction of the surfaces or a liquid forming
menisci about each punch in the gap between the surfaces. The
problem is solved by using the localization method [1]. The contact
pressure distribution, shape of the elastic half-space, size of
contact regions, relationship between the force applied to punches
and their penetration into the half-space,
and other characteristics are analyzed,
depending on the roughness parameters (the shape of punches and
the distance between them) and thickness of the liquid film covering
the half-space. |
| References |
| 1. | I. G. Goryacheva, "A periodic contact problem for an
elastic half-space," PMM [Applied Mathematics and Mechanics], Vol. 62,
No. 6, pp. 1036-1044, 1998. |
| 2. | D. Maugis, "Adhesion of spheres: the JKR-DMT transition
using a Dugdale model," J. Colloid Interface Sci., No. 150,
pp. 243-269, 1991. |
| 3. | J. A. Greenwood and K. L. Johnson, "An alternative to the
Maugis model of adhesion between elastic spheres," J. Phys. D:
Appl. Phys., Vol. 31, No. 22, pp. 3279-3290, 1998. |
| 4. | E. B. Ivanova and A. S. Kravchuk, "Variational approach to
solving contact problems taking into account adhesion," in
Strength Analysis [in Russian], No. 30, pp. 156-165, Mashinostroenie,
Moscow, 1989. |
| 5. | J. A. Greenwood, "Adhesion of elastic spheres," Proc.
Roy. Soc. London, Ser. A, Vol. 453, No. 1961, pp. 1227-1297, 1997. |
| 6. | D. Maugis and B. Gauthier-Manuel, "JKR-DMT transition in
the presence of a liquid meniscus," J. Adhesion Sci. Technol.,
Vol. 8, No. 11, pp. 1311-1322, 1994. |
| 7. | I. G. Goryacheva and Yu. Yu. Makhovskaya, "Contact of
elastic bodies in the presence of capillary adhesion,"
PMM [Applied Mathematics and Mechanics], Vol. 63, No. 1,
pp. 128-137, 1999. |
| 8. | Yu. Yu. Makhovskaya and I. G. Goryacheva, "The combined
effect of capillarity and elasticity in contact interaction,"
Tribology International, Vol. 32, No. 9, pp. 507-515, 1999. |
| 9. | S. A. Chizhik, "Capillary mechanism of adhesion and
friction of rough surfaces separated by a thin layer of liquid,"
Trenie i Iznos, Vol. 15, No. 1, pp. 11-26,
1994. |
| 10. | M. J. Matthewson and H. J. Mamin, "Liquid mediated
adhesion of ultra-flat solid surfaces," Mater. Res. Soc. Symp.
Proc., Vol. 119, pp. 87-92, 1988. |
| 11. | I. G. Goryacheva and E. V. Torskaya, "Periodic contact
problem for a system of punches and an elastic layer adhered to an
elastic base," Trenie i Iznos, Vol. 16, No. 4, pp. 642-652,
1995. |
| 12. | L. A. Galin, Contact Problems of Elasticity and
Viscoelasticity [in Russian], Nauka, Moscow, 1980. |
| 13. | I. G. Goryacheva and Yu. Yu. Makhovskaya, "Adhesive
interaction of elastic bodies,"
PMM [Applied Mathematics and Mechanics], Vol. 65, No. 2,
pp. 279-289, 2001. |
|
| Received |
09 April 2001 |
| << Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
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