The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models
https://doi.org/10.22405/2226-8383-2020-21-3-292-305
Abstract
Today, there is a risk of destruction for a large number of buildings from various emergencies.
Modern regulatory framework for the design and operation of buildings, contains many years of
experience in analyzing the causes of collapse, takes into account a large number of impacts on
structures (dynamic loads, climatic effects, temporary and permanent) during the entire service
life. However, the increasing number of accidents with varying degrees of destruction, both of
individual parts and of the entire structure, suggests that the impact that caused the destruction
was not taken into account in the regulatory documents on the basis of which the object was
designed. Therefore, there is a need for accurate calculation algorithms, modern reliable and
cost-effective methods for the structural strengthening of supporting frames of buildings.
The article considers existing methods for predicting the effects of fracture and solving
problems for determining the stress-strain state based on a specially developed RHT (Riedel-
Hiermaier-Thoma) strength model for high-speed deformation of reinforced concrete under
dynamic loading conditions. A model problem is considered using a variational approach based
on the construction of a functional for calculating the elastic deformation power, taking into
account the power of inertia forces for a spherical explosive charge located directly in front of
the structure. All calculations were performed in the ANSYSLS-DYNA environment, the results
were obtained in the form of graphs of strain rates and stress fields.
About the Authors
Gennady Modestovich ZhuravlevRussian Federation
doctor of technical Sciences, Professor, Professor
Victor Grigorievich Telichko
Russian Federation
candidate of technical Sciences, associate Professor
Nikita Sergeevich Kurien
Russian Federation
post-graduate student
Alexandr Evgenievich Gvozdev
Russian Federation
doctor of engineering, Professor, Professor
Olga Vladimirovna Kuzovleva
Russian Federation
candidate of technical Sciences, docent, docent
References
1. }Bazhenov, Y. M. (1970), \textit{Concrete under dynamic loading}, Moscow, Stroizdat, 271 p.
2. }Bate, K., Wilson, E. (1982) \textit{Numerical methods of analysis and the finite element method}, Moscow, Stroizdat, 448 p.
3. }Birbraer, A.\,N., Roleder, A.\,Yu. (2009) \textit{Extreme impacts on structures}. St. Petersburg: Pub\-li\-shing house of Polytech, UN-TA, 594 p.
4. }Gallagher, R. (1984) \textit{Finite element method}. Basics, Moscow, Mir, 428 p.
5. }Kozlitin, A.\,M., Popov, A.\,I., Kozlitin, P.\,A. (2002) \textit{Theoretical bases and practice of analysis of technogenic risks. Probabilistic methods for quantifying the dangers of the technosphere}, Saratov, SSTU, 178 p.
6. }Degtyarev, D.\,V., Lisanov, M.\,V., Sumskoy, S.\,I., Shvyryaev, A.\,A. (2013), «Quantitative risk analysis in justifying the explosion resistance of buildings and structures», \textit{Labor Safety in industry}, No. 6, pp. 82-89.
7. }Martynyuk, V.\,F. (2014) \textit{Lectures on the theory of combustion and explosion}, Moscow, Russian state University of oil and gas. I. M. Gubkina, 184 p.
8. }Zhuravlev, G.\,M., Kurien N.\,S., (2019), «Mathematical modeling of the explosive effect of a non-contact charge on an isotropic concrete slab», \textit{Theses of the 20th International scientific and technical conference «ACTUAL PROBLEMS of CONSTRUCTION, CONSTRUCTION INDUSTRY and ARCHITECTURE»}. Tula, 2019, pp. 194-197.
9. }Methodology for assessing the consequences of emergency explosions of fuel and air mixtures: safety guide. Rostekhnadzor order №137 of March 31, 2016. Ser. 27. Vol. 15, Moscow, ZAO STC PB, 2016. 44 p.
10. }Methods for substantiating the explosion resistance of buildings and structures during explosions of fuel and air mixtures at hazardous production facilities: safety guide: Ros\-tekh\-nadzor order No. 189 of may 13, 2015, Ser. 27, Vol. 17, Moscow, ZAO STC PB, 2016, 78 pp.
11. }Nevskaya, E.\,E., Glebova, E.\,V. (2017), «Analysis of ways and means of increasing the level of protection of buildings and structures from the action of shock waves», \textit{Labor Safety in industry}, No. 2. Pp. 73-78.
12. }Zhuravlev, G. M., Kurien, N. S. (2017), «Statement of the problem of mathematical modeling of explosion resistance and guaranteed destruction of plates by explosive load», \textit{Scientific and technical journal. Fundamental and applied problems of engineering and technology}, No. 2, pp. 56-63.
13. }Rastorguev, B. S., Plotnikov, A. I., Khusnutdinov, D. Z. (2007) \textit{Design of buildings and structures in case of emergency explosive impacts}, Moscow, ASV publishing House, 152 p.
14. }Efremov, K. V., Lisanov, M. V., Sofin, A. S., etc. (2011) «Calculation of zones of destruction of buildings and structures during explosions of fuel and air mixtures at hazardous production facilities», \textit{Labor Safety in industry}, No. 9. pp. 70-77.
15. }Segerlind, L. (1979) \textit{Application of the finite element method}, Moscow, Mir, 392 p.
16. }Agapova, E. A., Degtyarev, D. V., Lisanov, M. V., et al. (2015) «Comparative analysis of Russian and foreign methods and computer programs for modeling emergency emissions and risk assessment», \textit{Labor Safety in industry}, No. 9, pp. 71-78.
17. }\textit{Physics of explosion}, Editor Orlenko, L. P., T.1, Moscow, FIZMATLIT, 2002, 832 pp.
18. }American Society of Civil Engineers (2010) «Design of blast resistant buildings in petrochemical facilities», New York, 318 p.
19. }Moxnes, J.F. et al. (2014) «Experimental and numerical study of the fragmentation of expanding warhead casings by using different numerical codes and solution technics», \textit{Defence Technology}, vol. 10, pp. 161-176.
20. }Riedel, W., Thoma, K., Hiermaier, S. Schmolinske, E. (1999) «Penetration of reinforced concrete by BETA-B-500. Numerical analysis using a new macroscopic concrete model for hydrocodes», \textit{Proceeding of 9th international symposium on interaction of the effects of munitions with structures}, Berlin, pp. 315-322.
21. }Tham, C.Y. (2005) «Reinforced concrete perforation and penetration simulation using Autodyn 3D», \textit{Finite Elements in Analysis and Design}, vol. 41, pp. 1401-1410.
22. }Uddin, N. (2010) \textit{Blast Protection of Civil Infrastructures and Vehicles Using Composites}, New York, 488 p.
Review
For citations:
Zhuravlev G.M., Telichko V.G., Kurien N.S., Gvozdev A.E., Kuzovleva O.V. The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models. Chebyshevskii Sbornik. 2020;21(3):292-305. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-3-292-305