The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models

G. M. Zhuravlev ; V. G. Telichko ; N. S. Kurien ; A. E. Gvozdev ; O. V. Kuzovleva

Čebyševskij sbornik, Tome 21 (2020) no. 3, pp. 292-305.

Résumé

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.

Détail

Keywords: dynamic loading, stress-strain state, explosives, energy method, finite element method, reinforced concrete.

Bibliographie

[1] Bazhenov Y. M., Concrete under dynamic loading, Stroizdat, M., 1970, 271 pp.

[2] Bate K., Wilson E., Numerical methods of analysis and the finite element method, Stroizdat, M., 1982, 448 pp.

[3] Birbraer A. N., Roleder A. Yu., Extreme impacts on structures, Publishing house of Polytech. un-ta, St. Petersburg, 2009, 594 pp.

[4] Gallagher R., Finite element method. Basics, Mir, M., 1984, 428 pp. | MR

[5] Kozlitin A. M., Popov A. I., Kozlitin P. A., Theoretical bases and practice of analysis of technogenic risks. Probabilistic methods for quantifying the dangers of the technosphere, SSTU, Saratov, 2002, 178 pp.

[6] Degtyarev D. V., Lisanov M. V., Sumskoy S. I., Shvyryaev A. A., “Quantitative risk analysis in justifying the explosion resistance of buildings and structures”, Labor Safety in industry, 2013, no. 6, 82–89

[7] Martynyuk V. F., Lectures on the theory of combustion and explosion, Russian state University of oil and gas. I. M. Gubkina, M., 2014, 184 pp.

[8] Zhuravlev G. M., Kurien N. S., “Mathematical modeling of the explosive effect of a non-contact charge on an isotropic concrete slab”, Theses of the 20th International scientific and technical conference «ACTUAL PROBLEMS of CONSTRUCTION, CONSTRUCTION INDUSTRY and ARCHITECTURE» (Tula, 2019), 2019, 194–197

[9] Methodology for assessing the consequences of emergency explosions of fuel and air mixtures: safety guide, Rostekhnadzor order No 137 of March 31, 2016. Ser. 27. Vol. 15, ZAO STC PB, M., 2016, 44 pp.

[10] Methods for substantiating the explosion resistance of buildings and structures during explosions of fuel and air mixtures at hazardous production facilities: safety guide, Rostekhnadzor order No 189 of may 13, 2015, Ser. 27, Vol. 17, ZAO STC PB, M., 2016, 78 pp.

[11] Nevskaya E. E., Glebova E. V., “Analysis of ways and means of increasing the level of protection of buildings and structures from the action of shock waves”, Labor Safety in industry, 2017, no. 2, 73–78

[12] Zhuravlev G. M., Kurien N. S., “Statement of the problem of mathematical modeling of explosion resistance and guaranteed destruction of plates by explosive load”, Scientific and technical journal. Fundamental and applied problems of engineering and technology, 2017, no. 2, 56–63

[13] Rastorguev B. S., Plotnikov A. I., Khusnutdinov D. Z., Design of buildings and structures in case of emergency explosive impacts, ASV publishing House, M., 2007, 152 pp.

[14] Efremov K. V., Lisanov M. V., Sofin A. S., etc., “Calculation of zones of destruction of buildings and structures during explosions of fuel and air mixtures at hazardous production facilities”, Labor Safety in industry, 2011, no. 9, 70–77

[15] Segerlind L., Application of the finite element method, Mir, M., 1979, 392 pp.

[16] Agapova E. A., Degtyarev D. V., Lisanov M. V., et al., “Comparative analysis of Russian and foreign methods and computer programs for modeling emergency emissions and risk assessment”, Labor Safety in industry, 2015, no. 9, 71–78

[17] Orlenko L. P. (ed.), Physics of explosion, v. 1, Fizmatlit, M., 2002, 832 pp.

[18] Design of blast resistant buildings in petrochemical facilities, American Society of Civil Engineers, New York, 2010, 318 pp.

[19] Moxnes J. F. et al., “Experimental and numerical study of the fragmentation of expanding warhead casings by using different numerical codes and solution technics”, Defence Technology, 10 (2014), 161–176 | DOI

[20] Riedel W., Thoma K., Hiermaier S. Schmolinske E., “Penetration of reinforced concrete by BETA-B-500”, Numerical analysis using a new macroscopic concrete model for hydrocodes, Proceeding of 9th international symposium on interaction of the effects of munitions with structures (Berlin, 1999), 315–322

[21] Tham C. Y., “Reinforced concrete perforation and penetration simulation using Autodyn 3D”, Finite Elements in Analysis and Design,, 41 (2005), 1401–1410 | DOI

[22] Uddin N., Blast Protection of Civil Infrastructures and Vehicles Using Composites, New York, 2010, 488 pp.