 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 44, Issue 4 / 2009 | Next article >> |
| A. P. Babin and M. V. Zernin, "Finite-Element Simulation of Contact Interaction with the Use of Concepts of Contact Pseudomedium Mechanics," Mech. Solids. 44 (4), 565-584 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
4 |
Pages |
565-584 |
| DOI |
10.3103/S0025654409040086 |
| Title |
Finite-Element Simulation of Contact Interaction with the Use of Concepts of Contact Pseudomedium Mechanics |
| Author(s) |
A. P. Babin (Bryansk State Technical University, b-r 50-letiya Oktyabrya 7, Bryansk, 241035 Russia, babin@moon.r-style.ru)
M. V. Zernin (Bryansk State Technical University, b-r 50-letiya Oktyabrya 7, Bryansk, 241035 Russia, zerninmv@mail.ru) |
| Abstract |
In the present paper, we analyze an algorithm for solving problems of elastic and elastoplastic contact between rigid deformable bodies taking into account the presence of additional media with various properties in the contact region. These may be nonlinear properties of surface rough layers and films. To take into account the influence of such layers, the finite-element scheme uses contact finite elements with nonlinear properties. We describe an algorithm developed for solving problems with various types of nonlinearities. Using the example of experimental studies described in detail in [1, 2], we identify the nonlinear properties of contact finite elements. Several examples are used to demonstrate the algorithm operating capability. |
| Keywords |
contact problem, nonlinear properties, contact pseudomedium mechanics, nonlinear contact finite elements, method of additional stresses and strains ("mixed method"), identification of properties of contact finite elements, problems with several types of nonlinearity in contact, anisotropy of friction |
| References |
| 1. | N. B. Demkin,
Contacting of Rough Surface
(Nauka, Moscow, 1970)
[in Russian]. |
| 2. | V. I. Maksak,
Preliminary Displacement and Rigidity of Mechanical Contact
(Nauka, Moscow, 1975)
[in Russian]. |
| 3. | A. V. Vobkushevskii,
"Variational Statement and Methods for Solving the Contact Problem with Friction and Surface Roughness Taken into Account,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 56-62 (1991)
[Mech. Solids (Engl. Transl.)]. |
| 4. | L. A. Rozin and M. S. Smirnov,
"Solution of Contact Problems of Elasticity with Compliance in Unilateral Constraints,"
Izv. Vyssh. Uchebn. Zaved. Stroitel'stvo,
No. 5, 27-32 (2000). |
| 5. | A. Baranski, M. Chrzanowski, and K. Nowak,
"Numerical Modelling of Damage Growth in Polycrystalline Bodies,"
in Selec. Probl. Struct. Mech. Mach. Des. Prod. Eng. Motor and Railway Vehicles Org. Chem.
(Crakow, 1995),
pp. 25-33. |
| 6. | M. V. Zernin, A. P. Babin, I. I. Burak, and A. V. Yakovlev,
"Simulation of Damage in Sliding Bearings Based on Failure Criteria. Part 3. Finite Element Models of Surface in Contact,"
Trenie Iznos
21 (4), 361-368 (2000)
[J. Frict. Wear (Engl. Transl.)
21 (4), 16-20 (2000)]. |
| 7. | E. M. Morozov and M. V. Zernin,
Contact Problems in Fracture Mechanics
(Mashinostroenie, Moscow, 1999)
[in Russian]. |
| 8. | B. Fredriksson,
"Finite Elements Solution of Surface Nonlinearities in Structural Mechanics with Special Emphasis to Contact and Fracture Mechanics Problems,"
Comput. Struct.
6 (4-5), 281-290 (1976). |
| 9. | R. Michalowski and Z. Mros,
"Associated and Non-Associated Sliding Rules in Contact Friction Problems,"
Arch. Mech. Stosow.
30 (3), 259-276 (1978). |
| 10. | N. G. Meleshchenko,
"To the Problem of Computation Estimation of Conditions of Motor Junction Units Operation,"
Trudy TsNIDI, No. 73, 31-36 (1878). |
| 11. | S. G. Kuz'menko,
Basic Equations of Elasticity and Plasticity and the Finite-Element Method
(Tula PoliTekh. Inst., Tula, 1980)
[in Russian]. |
| 12. | A. N. Podgornyi, P. P. Gontarovskii, B. N. Kirkach, et al.,
Contact Problems for Structural Elements
(Naukova Dumka, Kiev, 1989)
[in Russian]. |
| 13. | G. P. Nikishkov,
Software Complex for Solving Problems in Solid Mechanics
(MIFI, Moscow, 1988) [in Russian]. |
| 14. | G. P. Nikishkov and V. G. Pashnin,
"Calculation of Stress States in Contacting Bodies
with the Use of Isoparametric Contact Elements,"
in Strength of Materials and Structural Members of Nuclear Reactors,
Collection of MIFI Scientific Works
(Energoatomizdat, Moscow, 1985),
pp. 38-43
[in Russian]. |
| 15. | A. P. Babin,
"Finite-Element Algorithm for Solving Contact Problems
with Nonlinear Effects Taken into Account,"
in Dynamics, Strength, and Reliability of Transport Machines,
(Izd-vo BGTU, Bryansk, 2002),
pp. 138-148
[in Russian]. |
| 16. | M. V. Zernin and A. P. Babin,
"To Contact Rigidity Investigations by Using
the Model of `Contact Pseudomedium' Mechanics,"
Zavodskaya Laboratoriya
67 (6), 51-54 (2001). |
| 17. | S. V. Shil'ko, V. E. Starzhinskii, A. P. Babin, and M. V. Zernin,
"Simulation of Contact Interactions in MEMS,"
Vestn. Gomelsk. Gos. Tekh. Univ.,
Nos. 3-4, 31-38 (2002). |
|
| Received |
05 December 2007 |
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