 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V. G. Bazhenov, S. A. Pirogov, and D. T. Chekmarev, "An explicit scheme with a stabilizing operator for solving nonstationary problems of structural dynamics," Mech. Solids. 37 (5), 100-109 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
5 |
Pages |
100-109 |
| Title |
An explicit scheme with a stabilizing operator for solving nonstationary problems of structural dynamics |
| Author(s) |
V. G. Bazhenov (Nizhni Novgorod)
S. A. Pirogov (Nizhni Novgorod)
D. T. Chekmarev (Nizhni Novgorod) |
| Abstract |
A method is justified and developed to increase the efficiency
of explicit schemes for the numerical solution of nonstationary
nonlinear problems of continuum dynamics and the theory of
Timoshenko-type shells. The effectiveness of this method
is illustrated by solving 2D dynamic problems for multilayered
composite plates and shells subject to impulsive and impact
loading. |
| References |
| 1. | G. I. Marchuk, Methods of Computational Mathematics
[in Russian], Nauka, Moscow, 1989. |
| 2. | U. V. Rakitskii, S. M. Ustinov, and I. G. Chernorutskii,
Numerical Methods for Solving Stiff Problems
[in Russian], Nauka, Moscow, 1979. |
| 3. | E. G. Evseev and A. U. Semenov,
"A method for the numerical solution of equations of dynamics
of thin-walled shells based on separating rapidly oscillating
components," Doklady AN SSSR, Vol. 310, No. 4, pp. 485-487, 1990. |
| 4. | V. G. Bazhenov and V. P. Stolov, "Numerical simulation
of nonstationary axially symmetric wave processes in multilayered
composite plates and shells of revolution,"
in Applied Problems of Strength and Plasticity. Numerical
Simulation of Physico-mechanical Processes
[in Russian], pp. 80-88, Izd-vo Gorkovsk. Un-ta, Gorky, 1989. |
| 5. | V. G. Bazhenov and M. B. Prokopenko,
"Numerical solution of axially symmetric nonlinear nonstationary
problems of dynamics of composite elastic-plastic structures,"
in Applied Problems of Strength and Plasticity. Numerical
Simulation of Physico-mechanical Processes
[in Russian], No. 49, pp. 55-63, Izd-vo Nizhegorodsk. Un-ta,
Nizhni Novgorod, 1991. |
| 6. | S. V. Sheshenin and Fu Minkhuei, "A semi-implicit
method for solving problems of elasticity for thin-walled axisymmetric
bodies," Izv. AN. MTT [Mechanics of Solids],
No. 5, pp. 78-85, 1995. |
| 7. | V. G. Bazhenov and D. T. Chekmarev, Variational-difference
Schemes in Nonstationary Wave Problems of Dynamics of
Plates and Shells [in Russian],
Izd-vo Nizhegorodsk. Un-ta, Nizhni Novgorod, 1992. |
| 8. | D. T. Chekmarev, "Construction of finite-difference schemes
equivalent to numerical schemes of the finite element method,"
in Applied Problems of Strength
and Plasticity. Numerical Modeling of Physical and Mechanical
Processes [in Russian], pp. 129-138, Tovarishch. Nauchn. Izd. KMK, Moscow,
1999. |
| 9. | M. L. Wilkins, "Numerical analysis of elastoplastic flows,"
in B. Alder, S. Fernbach, and M. Rotenberg
(Editors), Fundamental Methods in Hydrodynamics [Russian translation],
pp. 212-263, Mir, Moscow, 1967. |
| 10. | V. G. Bazhenov and D. T. Chekmarev, "On the index commutativity
of the numerical differentiation," Zh. Vychisl. Matematiki
i Matemat. Fiziki [Journal of Computational Mathematics and
Mathematical Physics], Vol. 29, No. 5, pp. 662-674, 1989. |
| 11. | V. G. Bazhenov and A. I. Kibets,
"Numerical simulation of 3D problems of nonstationary
deformation of elastic-plastic structures
by the finite-element method,"
Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 52-59, 1994. |
| 12. | V. I. Tsypkin, V. N. Rusak, A. G. Ivanov,
A. G. Fedorenko, and O. S. Vorontsova,
"Deformation and fracture of two-layered metallic/plastic
shells subjected to an internal impulsive loading,"
Mekhanika Komposit. Materialov, No. 5, pp. 833-838, 1987. |
| 13. | V. V. Adishchev, V. M. Kornev, and L. A. Talzi,
Evaluation of Maximal Stresses in Closed Cylindrical Vessels
Subjected to an Axially Symmetric Explosive Loading [in Russian],
No. 6588-83, VINITI, Moscow, 1983. |
|
| Received |
18 April 2000 |
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