共查询到20条相似文献,搜索用时 15 毫秒
1.
I. Yu. Khoma 《Journal of Mathematical Sciences》1998,92(5):4133-4135
On the basis of a generalized theory constructed using the Fourier-series expansion of the unknowns in Legendre polynomials
of the thickness coordinate we give a representation of the general solution of the equilibrium equations of a transversally
isotropic spherical shell for an arbitrary approximation. On this basis we study the problem of the stressed state of a shallow
spherical shell with a circular cavity on whose boundary surface there are tangential stresses varying nonlinearly over the
thickness.
Bibliography: 3 titles.
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 28, 1998, pp. 19–24. 相似文献
2.
3.
An exact solution to the problem of the distribution of stresses in a transversally isotropic elastic body with inner elliptic
crack is given. An assumption that the linearly varying pressure acts on the surface of the crack is made. The intensity coefficients
of stresses at the vertex of the crack are found. Bibliography: 5 titles.
Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 79, 1995, pp. 117–124. Original 相似文献
4.
We propose a method of determining the thermally stressed state of semibounded bodies containing a defect in the form of a cylindrical foreign inclusion. We give the results of numerical study of the thermal stresses as functions of the geometric parameters of the inclusion. Four figures. Bibliography: 4 titles.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 41–45. 相似文献
5.
A. H. Passos Morgado Yu. N. Podil’chuk I. V. Lebedeva 《Journal of Mathematical Sciences》2000,101(1):2746-2756
An exact solution is constructed to the electroelastic problem for a medium with a sealed-in spheroidal inclusion under the
assumption that the medium and the inclusion are different piezoceramic, transversally isotropic bodies with coincident axes
of anisotropy. The components of the associated electroelastic field of the inclusion are plotted as functions of the external
load and of the geometry of the inclusion. Numerical values of the stresses and of the projection of the electric induction
vector are given for the medium in the neighborhood of the inclusion.
Universidade de Beira Interior, Portugal: Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev; and Ukrainian
State University of Food Technologies, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 29, pp. 28–42, 1999. 相似文献
6.
We examine the properties of the stressed state of the thin intermediate zone separating a nonhomogeneous inclusion from the matrix. Explicit expressions are given for the components of the stress tensor in the thin coating depending on the properties of the phases and the load parameters.Simferopol' University. Translated from Dinamicheskie Sistemy, No. 10, pp. 26–30, 1992. 相似文献
7.
I. N. Shchitov 《Computational Mathematics and Mathematical Physics》2014,54(10):1550-1559
The Cauchy problem for the equations of motion of a homogeneous transversally isotropic elastic medium is considered. For its solution, a short-wavelength asymptotic expansion is constructed, which is also applicable near specific directions. The resonance set, i.e., the set of points at which the ray expansion cannot be used is described. 相似文献
8.
The exact solution to the problem of statical thermoelasticity for a transversally isotropic cone in the case where the characteristic
equation has multiple roots, the surface of the cone is free of the action of external forces, and the temperature on the
boundary can be represented in one variable by the Mellin integral and in a second variable, by a trigonometric series, is
presented. Bibliography: 6 titles.
Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 76, 1992, pp. 23–32. 相似文献
9.
V. S. Kirilyuk 《Journal of Mathematical Sciences》1992,60(1):1257-1260
Two problems of statistical thermoelasticity are considered for an isotropic medium with spherical inhomogeneity. It is assumed that a medium with an inclusion is subjected to piecewise-uniform heating or the action of a homogeneous heat flux. As accurate solutions of the problems are constructed for various types of thermal and mechanical action at the phase interface.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 20, pp. 14–18, 1989. 相似文献
10.
We investigate the initial stage of quasistatic development of plastic deformations in the vicinity of the tips of a rigid
rectangular inclusion whose pair of faces do not contact with a medium. Deformation is caused by shear forces that act at
infinity in parallel with this pair of faces of the inclusion. The cases of plastic deformations localized in bands that develop
from the tips of the inclusion and distributed continually are investigated. The characteristics of plastic zones for loads
much smaller than the yield strength are obtained. 相似文献
11.
To investigate the propagation of normal and damped waves in a layered, transversally isotropic medium, it is necessary to determine the complex and pure imaginary roots of the dispersion equation. The dispersion equation considerably simplifies in the case of large and small wave numbers. It is therefore possible to determine the initial and final points of all roots and to trace the entire motion of the roots between these points.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 99, pp. 104–122, 1980. 相似文献
12.
Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 76–80, 1990. 相似文献
13.
14.
15.
16.
In this article we give an analytic solution of the polar-symmetric quasisteady thermoelastic contact problem for a two-layer
hollow circular cylinder. The problem is solved taking account of frictional heat production and thermal resistance on the
mutually tangent surfaces of the components of the cylinder. On the exterior boundary of the two-layer system we study the
condition of Winkler elastic fixing. In the solution we apply the Laplace transform with respect to time. We carry out a numerical
analysis whose results are shown as graphs.
Translated fromMatematichni Metodi i Fiziko-mekhanichni Polya, Vol. 40, No. 1, 1997, pp. 104–110. 相似文献
17.
18.
V. A. Laz'ko 《Mechanics of Composite Materials》1982,17(5):561-564
Conclusions The theorem formulated here corresponds to the most general variational principle in the theory of elasticity. The equations and conditions derived from it constitute a complete system of relations necessary for defining and solving the problems which involve determining the stress-strain state in anisotropic multilayer shell structures. Assuming that some of the relations (2.2)–(2.9) are satisfied a priori, one can formulate other partial variational principles (Lagrange's, Reissner's, et al.).The result obtained here can be utilized for a correct derivation of two-dimensional equations for anisotropic multilayer shells of discrete structure, also as the starting point for devising approximate methods of solution of problems which involve determining the state of stress and strain in anisotropic multilayer shells.Translated from Mekhanika Kompozitnykh Materialov, No. 5, pp. 832–836, September–October, 1981. 相似文献
19.
Yu. N. Podil'chuk V. F. Tkachenko E. E. Shevchenko 《Journal of Mathematical Sciences》1995,77(6):3480-3485
By solving the stationary thermoelastic problem for a transversally isotropic hyperboloid of revolution we conduct an analytic
study of the thermal stress state of a finite solid of revolution with a meridional section of complicated shape and propose
a way to solve the problem of the reliability of information obtained using the numerical methods developed and algorithms
implemented on a computer.
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 24, 1993, pp. 7–15. 相似文献
20.
G. V. Plyatsko V. N. Maksimovich L. V. Khomlyak 《Journal of Mathematical Sciences》1992,62(1):2518-2523
We solve the thermoplastic problem for a semi-infinite plate under local nonstationary heating by heat sources. The physical equations are taken to be the relations of the nonisothermic theory of plastic flow associated with the Mises fluidity condition. The solution of the problem is constructed by the method of integral equations and the self-correcting method of sequential loading, where time is taken as the loading parameter. We carry out numerical computations of the stresses in the case of heating a plate with heat output by normal-circular heat sources. We study the problem of optimization of heating regimes in order to introduce favorable residual compressive stresses (from the point of view of hardness) in a given region of a half-plane. Two figures.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 29–34. 相似文献