 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A. A. Korolev, "Elastic contact of smooth complex-shaped bodies," Mech. Solids. 37 (3), 51-61 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
3 |
Pages |
51-61 |
| Title |
Elastic contact of smooth complex-shaped bodies |
| Author(s) |
A. A. Korolev (Saratov) |
| Abstract |
The contact problem for smooth elastic
bodies with a single-point initial contact (the Hertz problem) was
considered in numerous publications [1-6]. One of the basic assumptions
under which this problem can be solved is that near the point of the initial contact,
the contact surfaces are represented, as a rule, in terms of a homogeneous
second degree polynomial, and therefore, the initial gap function is
also described by a second degree polynomial. However, this restriction
is justified only if the dimensions of the contact region are small
relative to those of the contacting bodies. In practice, there are many
contact problems in which the contact region is sufficiently large or
the contacting bodies have a complex geometrical structure described
by nonhomogeneous equations of arbitrary degree. Such problems cannot be
treated in the framework of the Hertz problem. Of special interest
is the contact of bodies with different shapes of the initial gap
on the principal cross sections, with the equations of different degrees
describing these shapes. In what follows, this case will be referred to as
contact of bodies of complex geometrical structure. |
| References |
| 1. | V. M. Alexandrov and B. L. Romalis,
Contact Problems in Machine Design [in Russian], Mashinostroenie, 1986. |
| 2. | V. M. Alexandrov and E. V. Kovalenko,
Problems of Continuum Mechanics with Mixed Boundary Conditions [in Russian],
Nauka, Moscow, 1986. |
| 3. | V. M. Alexandrov and D. A. Pozharskii,
Nonclassical Spatial Problems in the Mechanics of
Contact Interaction between Elastic Bodies [in Russian], Faktorial, Moscow, 1998. |
| 4. | I. Ya. Shtaerman, Contact Problems of Elasticity [in Russian],
Gostekhizdat, Moscow, Leningrad, 1949. |
| 5. | A. I. Lur'e, Spatial Problems of Elasticity [in Russian], Gostekhizdat,
Moscow, 1953. |
| 6. | A. V. Korolev, Choosing the Optimal Shape of Contact Surfaces
of Machine Elements [in Russian],
Izd-vo Saratovsk. Un-ta, Saratov, 1972. |
|
| Received |
17 December 2001 |
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