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Chebyshevskii Sb., 2020, Volume 21, Issue 3, Pages 292–305 (Mi cheb943)  

HISTORY OF MATH AND APPLICATIONS

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

G. M. Zhuravleva, V. G. Telichkoa, N. S. Kuriena, A. E. Gvozdevb, O. V. Kuzovlevac

a Tula State University (Tula)
b Tula State Lev Tolstoy Pedagogical University (Tula)
c Russian State University of Justice (Moscow)

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.

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

DOI: https://doi.org/10.22405/2226-8383-2018-21-3-292-305

Full text: PDF file (1401 kB)

UDC: 51-74
Received: 09.04.2020
Accepted:22.10.2020

Citation: G. M. Zhuravlev, V. G. Telichko, N. S. Kurien, A. E. Gvozdev, O. V. Kuzovleva, “The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models”, Chebyshevskii Sb., 21:3 (2020), 292–305

Citation in format AMSBIB
\Bibitem{ZhuTelKur20}
\by G.~M.~Zhuravlev, V.~G.~Telichko, N.~S.~Kurien, A.~E.~Gvozdev, O.~V.~Kuzovleva
\paper The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 292--305
\mathnet{http://mi.mathnet.ru/cheb943}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-292-305}


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