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61.
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63.
M. Sh. Burlutskaya A. P. Khromov 《Computational Mathematics and Mathematical Physics》2011,51(12):2102-2114
The Fourier method is used to obtain a classical solution of an initial-boundary value problem for a first-order partial differential
equation with involution in the function and its derivative. The series Σ produced by the Fourier method as a formal solution
of the problem is represented as Σ = S
0 + (Σ − Σ0), where Σ0 is the formal solution of a special reference problem for which the sum S
0 can be explicitly calculated. Refined asymptotic formulas for the solution of the Dirac system are used to show that the
series Σ − Σ0 and the series obtained from it by termwise differentiation converge uniformly. Minimal smoothness assumptions are imposed
on the initial data of the problem. 相似文献
64.
65.
General analytical expressions are obtained for the dynamical matrix D(k) and the elastic constants C ik in an HCP crystal in terms of the Born-von Karman (BvK) parameters. An analytical method is proposed for constructing D(k) on the basis of data about the phonon frequencies ω i (N) at the symmetry points of the Brillouin zone and the elastic constants C ik . A number of relations between the values of ω i (N) and C ik are presented for conventional interaction models. It is shown that the standard method for determining BvK parameters by fitting them to experimental phonon spectra in HCP lattices is, as a rule, ambiguous, whereas the analytical method proposed allows one to find all the solutions of the problem. The methods developed are illustrated by the construction of dynamical matrices for Tb, Sc, Ti, and Co. 相似文献
66.
A. I. Khromov A. A. Bukhan'ko O. V. Kozlova S. L. Stepanov 《Journal of Applied Mechanics and Technical Physics》2006,47(2):274-281
Based on the theory of an ideal rigid-plastic body, an approach is formulated for determining fracture constants on the basis
of standard mechanical tests on uniaxial extension of plane and cylindrical samples. Instead of the experimentally determined
characteristics of fracture of materials (dimensionless elongation and constriction of the sample during its fracture), two
invariant tensor characteristics of the degree of sample deformation are introduced, which correspond to the moment of origination
of a macrocrack and critical strain at the crack tip determining the process of crack propagation.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 2, pp. 147–155, March–April, 2006. 相似文献
67.
Telnova A. Yu. Kurskiev G. S. Balachenkov I. M. Bakharev N. N. Gusev V. K. Zhil’tsov N. S. Kavin A. A. Kiselev E. O. Minaev V. B. Miroshnikov I. V. Patrov M. I. Petrov Yu. V. Sakharov N. V. Tokarev V. A. Tolstyakov S. Yu. Tukhmeneva E. A. Khromov N. A. Shulyat’ev K. D. Shchegolev P. B. 《Technical Physics》2021,66(3):401-408
Technical Physics - The article presents the results of studying the transfer of heat and particles in the Globus-M2 spherical tokamak in discharges with neutral injection at the current ramp up.... 相似文献
68.
A. P. Khromov G. V. Khromova 《Computational Mathematics and Mathematical Physics》2012,52(8):1079-1088
For a class of integral equations of the first kind whose kernels are discontinuous on the diagonals, the convergence of the Lavrent??ev regularization method is proved by using methods of the spectral theory of integral operators. These methods lead to a special Dirac system, and finding the asymptotics of fundamental solutions is an important part of the proof. 相似文献
69.
Timokhin V. M. Sergeev V. Yu. Anufriev E. A. Korobko D. D. Sharov I. A. Varfolomeev V. I. Novokhatsky A. N. Bakharev N. N. Vekshina E. O. Dolgova K. V. Zhil’tsov N. S. Kavin A. A. Kapralov V. G. Kiselev E. O. Koval’ A. N. Kurskiev G. S. Lobanov K. M. Minaev V. B. Miroshnikov I. V. Mukhin E. E. Petrov Yu. V. Rozhansky V. A. Sakharov N. V. Skokov V. G. Tel’nova A. Yu. Tkachenko E. E. Tokarev V. A. Tolstyakov S. Yu. Tyukhmeneva E. A. Khromov N. A. 《JETP Letters》2022,116(5):300-306
JETP Letters - The diagnostic of the peripheral plasma parameters in terms of the relation of lines of neutral helium is included in the diagnostic complex of the tokamak Globus-M2. The first... 相似文献
70.
A method for constructing regularizing families of operators is proposed that is based on combinations of simple operators of the indicated structure. 相似文献