Персона: Зингерман, Константин Моисеевич
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Институт ядерной физики и технологий
Цель ИЯФиТ и стратегия развития - создание и развитие научно-образовательного центра мирового уровня в области ядерной физики и технологий, радиационного материаловедения, физики элементарных частиц, астрофизики и космофизики.
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Зингерман
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Константин Моисеевич
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7 results
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Теперь показываю 1 - 7 из 7
- ПубликацияТолько метаданныеExact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material(2024) Levin, V. A.; Zingerman, K. M.; Belkin, A. E.; Зингерман, Константин Моисеевич
- ПубликацияТолько метаданныеA METHOD FOR SETTING THE OBJECTIVE FUNCTION IN THE PROBLEM OF THE TOPOLOGICAL OPTIMIZATION OF THREE-DIMENSIONAL STRUCTURES USING A DENSITY GRADIENT(2023) Levin, V. A.; Vershinin, A. V.; Zingerman, K. M.; Vasilyev, P. A.; Зингерман, Константин Моисеевич
- ПубликацияТолько метаданныеAn exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations(2021) Levin, V. A.; Podladchikov, Y. Y.; Zingerman, K. M.; Зингерман, Константин Моисеевич© 2021Constitutive relations of two classes are proposed for nonlinear elastic isotropic materials, which, in case of purely volumetric deformation, are reduced to the Murnaghan's equation of state. Exact analytical solution of the Lame problem of the radially symmetric deformation of a hollow sphere is obtained for one of these material classes. Nonlinear effects are studied. The non-uniqueness of solution is obtained for the case in which the sphere radii are specified in the initial configuration. It is shown for this case that there is a limiting pressure, above which the problem has no solution. The strong ellipticity conditions are tested. The obtained results can be used in geomechanics for modeling the recrystallization of metamorphic rocks.
- ПубликацияТолько метаданныеNUMERICAL SIMULATION OF THE BENDING OF A LAYERED BEAM WITH PRESTRESSED LAYER UNDER FINITE STRAINS USING THE SPECTRAL ELEMENT METHOD(2022) Levin, V. A.; Zingerman, K. M.; Vershinin, A. V.; Konovalov, D. A.; Зингерман, Константин Моисеевич
- ПубликацияТолько метаданныеTorsion of a multilayer elastic cylinder with sequential attachment of layers with multiple superposition of large deformations(2023) Zubov, L. M.; Belkin, A. E.; Biryukov, D. R.; Zingerman, K. M.; Зингерман, Константин Моисеевич© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.An exact analytical solution to the problem of large deformations of a multilayer cylindrical rod under multistage deformation is obtained for incompressible isotropic nonlinear elastic materials. At each step of deformation, another layer is attached to the rod, after which twisting and tension–compression of the cylinder along with the attached layer occur. The solution is obtained on the basis of the theory of multiple superposition of large deformations using one of the universal solutions of the problem of nonlinear elasticity. Numerical results are given. Nonlinear effects and effects associated with superposition of large deformations are analyzed.
- ПубликацияОткрытый доступComparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains(2019) Vershinin, A. V.; Levin, V. A.; Zingerman, K. M.; Зингерман, Константин Моисеевич© Published under licence by IOP Publishing Ltd. The results of a comparison of the numerical-analytical solution of the Lame problem for a cylinder made of nonlinear elastic material with the solution of the same problem by the finite element method are presented. Calculations are made for the compressible Mooney-Rivlin material and the Murnaghan material. The numerical-analytical solution is based on the use of the semi-inverse method, which is briefly described in relation to the class of problems under consideration; the problem reduces to solving the Cauchy problem for an ordinary differential equation. A finite-element solution was found in a three-dimensional formulation using the Fidesys engineering strength analysis system using 8-node and 20-node elements. The influence of the type of finite elements, material parameters and the magnitude of the applied load on the computational error is investigated.
- ПубликацияОткрытый доступCalculation of the effective properties of the prestressed nonlinear elastic heterogeneous materials under finite strains based on the solutions of the boundary value problems using finite element method(2019) Yakovlev, M. Y.; Lukyanchikov, I. S.; Levin, V. A.; Vershinin, A. V.; Zingerman, K. M.; Зингерман, Константин Моисеевич© Published under licence by IOP Publishing Ltd. This paper describes the approach and algorithms for numerical estimation of the effective properties of the prestressed nonlinear elastic heterogeneous materials under finite strains. To numerically evaluate effective properties on a representative volume (or periodicity cell), a series of sequences of elasticity problems differing in the type of the applied boundary conditions is solved. In all the problems being solved, along with the specially applied boundary conditions, the model undergoes the same predetermined prestress. In addition, a separate problem is being solved, in which, besides the prestressed state, zero displacement of the model boundary are set. The results of solving each problem in the form of stress tensors are averaged over the volume. Numerical calculations were carried out using the Fidesys Composite software module of the Fidesys CAE system using the finite element method. The paper presents the solution to a number of problems to estimate the effective coefficients of the porous material prestressed by pore pressure. Dependence graphs of effective properties on porosity and on size of pore pressure are constructed.