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The paper proposes a technique of determining the maximum critical load for concrete slabs based on the deformation theory of plasticity by G.A. Geniev. To solve the problem the method of successive loading is used. Physically nonlinear problem is reduced to successive solution of elastic problems for the construction with a variable elasticity mod...
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Based on Reddy’s third-order shear deformation plate theory, the nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates on elastic foundations subjected to dynamic loads and temperature are presented. The plates are reinforced by single-walled carbon nanotubes which vary acco...
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... In other words, these tubes can effectively enhance their resistance to tensile and punching shear forces, which then ensures the flexural rigidity, crack resistance, and load-bearing capacity of the precast bottom plates at a high level. After cracking happened, the specimens entered the elasto-plastic phase, where the slope of the load-displacement curve significantly decreased, indicating that the rigidity rapidly deteriorated, and the rate of displacement accelerated [18]. These results have shown that cracking prevention of the bottom plate is a prerequisite for CDB composite plates to achieve the span with no or minimal support across various span ranges. ...
... The load-displacement of the composite plate specimens is shown in Figure 16. There are obvious elastic and elasto-plastic phases in the loading process of the composite plate specimens [17,18]. Table 7 presents the cracking load and deflection of the CDB composite plate specimens. ...
In recent years, with the development of building technology, the Chinese construction industry has begun to gradually promote the prefabricated buildings to save on construction costs. Among them, composite slabs, as essential components of prefabricated buildings, have been widely used by designers mainly in favor of their low cost. However, is it possible to further reduce the cost without affecting the quality? Researchers think so if the operation cycle of support from the bottom of composite slabs can accelerate and the mechanical properties of their bottom plate can be optimized. To prove this hypothesis, researchers proposed a new type of prestressed concrete composite slab with removable rectangular steel-tube lattice girders (referred to as CDB composite slabs), whose bottom plate consists of a temporary structure composed of a prestressed concrete prefabricated plate and removable rectangular steel-tube lattice girders. Through static bending performance tests on three prefabricated bottom plates and one composite slab, researchers measured corresponding load-displacement curves, load-strain curves, crack development, and distribution, etc. The test results show that the top chord rectangular steel tubes connected to the bottom plate concrete through web reinforcement bars significantly improve the rigidity, crack resistance, and load-bearing capacity of the bottom plate and possess better ductility and out-of-plane stability. The number of supports at the bottom of the bottom plate is effectively reduced, with the maximum unsupported span reaching 4.8 m. Beyond 4.8 m, only one additional support is needed, and the maximum support span can be up to 9.0 m, which provides space for cost reduction. The cooperative load-bearing performance of the prefabricated bottom plate and the post-cast composite layer concrete is good. The top chord rectangular steel tubes are easy to dismantle and can be reused, which reduces the steel consumption by about 24% compared to that used for the same size of ordinary steel-tube lattice-girder concrete composite slabs. It can greatly decrease the cost. In conclusion, the results have shown that the new method researchers proposed here is practically applicable and also provides great space to save on financial costs.
... Finally, several more studies (Bataev et al. 2016;Chepurnenko et al., 2016Chepurnenko et al., , 2019 examine an analytical method of assessing stresses in reinforced-concrete slabs and wall panels with account for creep. ...
Introduction: This paper reviews the analytical method of assessing the seismic and extreme load resistance of buildings with a complex macrostructure that includes elastic-plastic inserts operating in shear. Methods: We analyze a number of studies that rationalize the choice of models for simulating complex elastic-plastic deformation in a mechanical system with several degrees of freedom, as well as studies that review the durability and resilience of buildings with a complex macrostructure based on non-linear shear links when subjected to dynamic and extreme impact. We also consider the methods of structural analysis regarding buildings with elastic-plastic inserts, accounting for the plastic hinged joints of metal frames. Results: We apply the analytical method to linear and non-linear systems with n degrees of freedom. We propose a mathematical equation that describes the nature of shear link response to seismic and extreme loads. Our method makes it possible to obtain an analytical solution for structures with proportionate and disproportionate damping by using the direct integration algorithm. Discussion: Most structures with a broad range of construction material properties require a disproportionate damping model. In this study, we solve equations by using the direct integration algorithm based on disproportionate damping. Under high dynamic load, the reinforcement of shear inserts operates in a plastic state.
... where / sb EE . As equations establishing the relationship between stresses and instantaneous deformations, we use the dependences of the deformation theory of plasticity of concrete by G.A. Geniev [12,13]. In cylindrical coordinates, these equations take the form: ...
The article presents a methodology for determining the stress-strain state and breaking load for concrete filled steel tubular columns in a physically non-linear setting. The calculation is performed step by step, for each step in the load, the problem is reduced to a system of three linear algebraic equations. The results are compared with known analytical dependences, as well as with the results of calculations in a three-dimensional formulation using the finite element method.
... Concrete is a metal with quite complicated mechanical character, which includes instantaneous non-linearity of deformation as well as non-linear creeping. To the problem of calculation of reinforced concrete, constructions with the record of creeping devoted many publications, including [1][2][3][4][5][6]. But, the problem of calculation of arch constructions quite rarely touched in the literature, especially when concerns effect of the loss of stability during creeping. ...
Investigated the phenomenon of the loss of stability under creeping of reinforced arches. The solution of problem is fulfilled with the help of the method of finite elements. For the analysis of stability used the method of Newton – Rafson. It is established that there exists long critic load during rise of which the height of the bilge has undamped character.
... Balan, O.Ya. Berg, V.M. Bondarenko [3,4], S.V. Bondarenko [5], G.A. Geniev [22][23][24][25][26], A.A. Gvozdev [27], N.I. Karpenko [12,13,17] It is necessary to note V.V. Bolotin [32], R. Clough, A. Griffiths, J.L. Lions [33,34], A.I. Lurie [35,36], N. Newmark, Ya.G. ...
The distinctive paper is devoted to development of numerical methods of spatial plate-shell reinforced concrete structures analysis with allowance for non-linearities. Immediacy of the problem and its contemporary state (within Russia and without) are presented. Particularly types of diagrams for reinforced concrete structures modeling, construction of reinforced concrete general deformation models, strength criteria for reinforced concrete structures and methods of structural analysis, main objectives and scientific novelty of study, its theoretical and practical relevance are under consideration.
... The model Modified Mohr-Coulomb [5][6][7][8] was chosen as a mathematical model for describing the behaviour of the engineering-geological elements. ...
Numerical modelling of the ground, based on the application of the MIDAS GTX NX multifunctional software complex has been carried out by constructing a computational model with analysis of physical and mechanical properties and nonlinear behaviour of engineering-geological elements.
... Гвоздева [22], Г.А. Гениева [23][24][25][26][27], Ю.В. Зайцева [28,29], Н.И. ...
Themodern stage of modelling of behavior of reinforced concrete structures is associated with the widespread use of numerical methods. Thedistinctive paper is devoted todevelopment and numerical implementation of methods of structural analysis including progressive collapse analysis of spatial plate-shell reinforced concrete structures with allowance for physical nonlinearity, crack formation and inducedanisotropy. The relevance of the research topic is substantiated, the current status of research on this topic in Russia and abroad (including various aspects dealing with types of diagrams for modelling of reinforced concrete structures,construction of general deformation models of reinforced concrete, strength criteria for reinforced concrete structures and methods of structural analysis) is analyzed, the goals, objectives and boundaries of the study are determined, the provisions constituting scientific novelty, theoretical significance and practical significance are formulated, publications on the topic are under consideration. It should be noted that generallyfurther improvement and modifications of reinforced concrete models and their integration incontemporarysoftware systems for structural analysis remain very important. It is assumed that developing methods of analysis of reinforced concrete structures will replace multi-iterative approaches to the solution of physically nonlinear problems and move from the practically possible high-precision analysis of individual structures to the analysis of complex structural systems with allowance for various factors of physical nonlinearity and anisotropy. As a result,reliability of design solutions will increase significantly. The strength criteria used in this way, in turn, will also eliminate a number of errors in existing methods for strength analysis.
... This led to the creation of nonclassical versions of the theories of plates and shells [3][4][5][6]. Calculation of anisotropic plates and shells is associated with the solution of complex systems of partial differential equations [7][8][9][10]. The finite element method opens up a wide range of possibilities in the study of anisotropic materials [11][12][13][14][15][16][17][18][19]. ...
In the paper, the stress-strain state of the springs from carbon fiber reinforced plastic was analyzed at its loading by a vertical load. The orthotropy of the material was taken into account. The solution was implemented in the software complexes Lira, ANSYS, and also using the program specially developed by the authors in the Matlab package. In the first case, the part was modeled by three-dimensional finite elements in the form of tetrahedral. In Lira and Matlab we used the plane finite elements of the plates. Comparison of the results obtained in three software complexes is given.
... The transition from the integral form of creep equations to the differential form is shown in[13]. Method for determining creep strains is given in the works[14][15][16][17]. Rheological constants of concrete in the calculation were taken to be: γ = 0.062 day-1 , C = 3.77 @BULLET 10-8 kPa-1 , B = 5.68 @BULLET 10-8 kPa-1 , α = 0.032 day-1. ...
The paper presents a derivation of governing equations and the method of calculation of shells of revolution taking the creep into account. Moment theory is considered. The problem is reduced to a system of two second order differential equations. We also present an example of the calculation of reinforced concrete shell on the effect of its own weight. Viscoelastic model of hereditary concrete aging is used.
The article deals with the calculation of triangular dams by numerical and analytical methods. The analytical solution is performed by a semi-inverse method. The stress function is taken as a polynomial of the third degree. Numerical calculation is performed using the finite element method. A comparison of the results obtained by the two methods is performed.
