Research Software Package for Solving Boundary Value Problems of Mechanics of Deformable Structures in Three-Dimensional Formulation

1. V. V. Kharchenko, A. Yu. Chirkov, S. V. Kobelskii, and V. I. Kravchenko, Methods of Calculation Analysis in Problems of Strength of Elements of Equipment of WWER Reactor Installations [in Russian], Pisarenko Institute of Problems of Strength of the National Academy of Sciences of Ukraine, Kyiv (2018).

2. A. Yu. Chirkov, Mixed approximation scheme of the finite-element method for the solution of two-dimensional problems of the elasticity theory, Strength Mater, 35, No. 6. 608–633 (2003). https://doi.org/10.1023/B:STOM.0000013613.68456.3010.1023/B:STOM.0000013613.68456.30 ↗

3. S. V. Kobelskyi, Modification of the mixed finite element method for solving boundary problems of mechanics of deformable structures in the three-dimensional statement: basic principles and test problems, Strength Mater, 56, No. 1, 70–82 (2024). https://doi.org/10.1007/s11223-024-00628-610.1007/s11223-024-00628-6 ↗

4. E. F. Garf, M. A. Netrebskii, P. S. Yukhimets, and S. V. Kobelskii, Stress concentration at the sites of corrosion damage to pipelines, Avtomat Svarka, No. 6, 3–6 (2000).

5. P. Yukhymets, R. Spitsa, and S. Kobelsky, Geographic information system for evaluation of technical condition and residual life of pipelines, in: S. Martorell, C. Guedes Soares, and J. Barnett (Eds.), Safety, Reliability and Risk Analysis: Theory, Methods and Applications, Proceedings of the European Safety and Reliability Conference, ESREL 2008, and 17th SRA-Europe, Valencia, Spain, September, 22–25, 2008, Vol. 2, (2009), pp. 1141–1146.

6. S. V. Kobelskyi, V. I. Kravchenko, and V. P. Lisovets, Specialized software for calculating the strength of pipeline parts, Oil and Gas Industry (in Ukrainian), No. 1, 52–54 (2004).

7. S. É. Umanskii, S. A. Romanchenko, and A. V. Ryazanov, Use of splitting schemes in the solution of nonsteady problems by the finite-element method. Report No. 1. Heat-conduction problem, Strength Mater, 19, No. 4, 530–537 (1987). https://doi.org/10.1007/BF01524166.10.1007/BF01524166 ↗

8. A. Yu. Chirkov, Application of a modified algorithm of the method of conjugate gradients in finite-element analyses, Strength Mater, 37, No. 6, 613–623 (2005). https://doi.org/10.1007/s11223-006-0009-610.1007/s11223-006-0009-6 ↗

9. S. N. Atluri (Ed.), Computational Methods in the Mechanics of Fracture, Elsevier Science Publishers B. V., Amsterdam (1986).

10. E. F. Rybicki and M. F. Kanninen, A finite element calculation of stress intensity factors by a modified crack closure integral, Eng Fract Mech, 9, No. 4, 931–938 (1977).10.1016/0013-7944(77)90013-3 ↗

11. Software “Three-dimensional finite element modeling of thermal and thermal stress state of elements of engineering structures (SPACE)” [in Ukrainian], UkrSEPRO Certification System, Certificate of conformity No. UA1.017.0054634-04 (2004)

12. TAREG 2.01/00, Final Report (2010).

13. Unified Procedure for Lifetime Assessment of Components and Piping in WWER NPPs “VERLIFE” (2008).

14. MT-D.0.04.391-06. Methodology for Assessment of Strength and Service Life of WWER Reactor Pressure Vessels in Operation [in Russian], Kyiv (2009).

15. E. A. Zadvornyi, Thermal stressed state of wedge-shaped specimens with thermal-fatigue cracks, Strength Mater, 32, No. 2, 149–151 (2000). https://doi.org/10.1007/BF0251167310.1007/BF02511673 ↗

16. V. T. Troshchenko, B. A. Gryaznov, O. V. Kononuchenko, and S. V. Kobelskii, Fatigue-crack propagation in heat-resistant alloys under thermomechanical loading. Part 1. Experimental method and results of the investigation of crack-propagation rates, Strength Mater, 32, No. 4, 323–330 (2000). https://doi.org/10.1023/A:102664840029910.1023/A:1026648400299 ↗