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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.
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
Linking options:
https://www.mathnet.ru/eng/cheb943 https://www.mathnet.ru/eng/cheb/v21/i3/p292
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Abstract page: | 93 | Full-text PDF : | 45 | References: | 21 |
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