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Article information
2004 , Volume 9, ¹ 4, p.77-95
Nemirovskii S.K., Yankovskii A.P.
Integration of problem on elasto-plastic dynamic bending of reinforced cores of sections with a variable cross-section using generalized Runge-Kutta methods
A problem on the elasto-plastic dynamic core bending is formulated. A method of numerical integration of the problem based on a generalization of the Runge-Kutta methods is developed. Comparison of the obtained numerical solution with the known analytical solution in the elastic case has been done. The efficiency of the suggested numerical procedure is shown on the calculations of the non-elastic dynamics of isotropic and reinforced cores of sections with constant or variable cross-section.
[full text] Classificator Msc2000:- *74E30 Composite and mixture properties
- 74S20 Finite difference methods
- 74K25 Shells
Keywords: reinforced shell, deflection, initial condition, secondary plasticity
Author(s):
Nemirovskii Sergey Karpovich
Dr. , Senior Scientist
Position: General Scientist
Office: SB RAS ThermoPhysics Institute
Address: 630090, Russia, Novosibirsk, ak. Lavrentev avenue, 1
E-mail: nemir@itp.nsc.ru
Yankovskii A P
Office: Institute of Theoretical and Applied Mechanics of SB RAS
Address: 630090, Russia, Novosibirsk, 4/1 Institutskaya str.
Bibliography link:
Nemirovskii S.K., Yankovskii A.P. Integration of problem on elasto-plastic dynamic bending of reinforced cores of sections with a variable cross-section using generalized Runge-Kutta methods // Computational technologies. 2004. V. 9. ¹ 4. P. 77-95
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