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1.
The elastoplastic state of thin cylindrical shells with two equal circular holes is analyzed with allowance made for finite deflections. The shells are made of an isotropic homogeneous material. The load is internal pressure of given intensity. The distribution of stresses along the hole boundary and in the stress concentration zone (when holes are closely spaced) is analyzed by solving doubly nonlinear boundary-value problems. The results obtained are compared with the solutions that allow either for physical nonlinearity (plastic strains) or geometrical nonlinearity (finite deflections) and with the numerical solution of the linearly elastic problem. The stresses near the holes are analyzed for different distances between the holes and nonlinear factors.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 107–112, October 2004. 相似文献
2.
The elastoplastic state of thin spherical shells with an elliptic hole is analyzed considering that deflections are finite.
The shells are made of an isotropic homogeneous material and subjected to internal pressure of given intensity. Problems are
formulated and a numerical method for their solution with regard for physical and geometrical nonlinearities is proposed.
The distribution of stresses (strains or displacements) along the hole boundary and in the zone of their concentration is
studied. The results obtained are compared with the solutions of problems where only physical nonlinearity (plastic deformations)
or geometrical nonlinearity (finite deflections) is taken into account and with the numerical solution of the linearly elastic
problem. The stress—strain state in the neighborhood of an elliptic hole in a shell is analyzed with allowance for nonlinear
factors
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 6, pp. 95–104, June 2005. 相似文献
3.
The elastoplastic state of thin cylindrical shells weakened by a curvilinear (circular) hole is analyzed considering finite
deflections. The shells are made of an isotropic homogeneous material. The load is internal pressure of given intensity. The
distributions of stresses (strains, displacements) along the hole boundary and in the zone of their concentration are studied.
The results obtained are compared with solutions that account for physical (plastic strains) or geometrical (finite deflections)
nonlinearity alone and with a numerical linear elastic solution. The stress-strain state around a circular hole is analyzed
for different geometries in the case where both nonlinearities are taken into account
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 115–123, December, 2006. 相似文献
4.
Physically and geometrically nonlinear deformation of conical shells with an elliptic hole 总被引:1,自引:1,他引:0
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2008,44(2):174-181
The elastoplastic state of conical shells weakened by an elliptic hole and subjected to finite deflections is studied. The
material of the shells is assumed to be isotropic and homogeneous; the load is constant internal pressure. The problem is
formulated and a technique for numerical solution with allowance for physical and geometrical nonlinearities is proposed.
The distribution of stresses, strains, and displacements along the hole boundary and in the zones of their concentration is
studied. The solution obtained is compared with the solutions of the physically and geometrically nonlinear problems and a
numerical solution of the linear elastic problem. The stress-strain state around an elliptic hole in a conical shell is analyzed
considering both nonlinearities
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 69–77, February 2008. 相似文献
5.
Elastoplastic analysis of thin-walled spherical shells with two identical circular openings is carried out with allowance for finite deflections. The shells are made of an isotropic homogeneous material and subjected to internal pressure of known intensity. The distributions of stresses (strains or displacements) along the contours of the openings and in the zone of their concentration are studied by solving doubly nonlinear boundary-value problems. The solution obtained is compared with the solutions that account for only physical nonlinearity (plastic deformations) and only geometrical nonlinearity (finite deflections) and with a numerical solution of the linearly elastic problem. The stress–strain state near the two openings is analyzed depending on the distance between the openings and the nonlinear factors accounted for 相似文献
6.
I. S. Chernyshenko E. A. Storozhuk F. D. Kadyrov 《International Applied Mechanics》2007,43(5):512-518
The elastoplastic state of isotropic homogeneous cylindrical shells with elliptic holes and finite deflections under internal
pressure is studied. Problems are formulated and numerically solved taking into account physical and geometrical nonlinearities.
The distribution of stresses (displacements, strains) along the boundary of the hole and in the zone of their concentration
is analyzed. The data obtained are compared with the numerical solutions of the physically nonlinear, geometrically nonlinear,
and linear problems. The stress-strain state of cylindrical shells in the neighborhood of the elliptic hole is analyzed with
allowance for nonlinear factors
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 5, pp. 46–54, May 2007. 相似文献
7.
Elastoplastic Deformation of Flexible Cylindrical Shells With Two Circular Holes under Axial Tension
The elastoplastic state of thin cylindrical shells with two circular holes under axial tension is analyzed considering finite deflections. The distributions of stresses along the contours of the holes and in the zone of their concentration are studied by solving doubly nonlinear boundary-value problems. The solution obtained is compared with the solutions that account for either physical nonlinearity (plastic deformations) and geometrical nonlinearity (finite deflections) alone and with a numerical solution of the linearly elastic problem. The stress-strain state near the two holes is analyzed depending on the distance between the holes and the nonlinear factors accounted for__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 52–57, May 2005. 相似文献
8.
Stress distribution in physically and geometrically nonlinear thin cylindrical shells with two holes
The elastoplastic state of thin cylindrical shells weakened by two circular holes is analyzed. The centers of the holes are
on the directrix of the shell. The shells are made of an isotropic homogeneous material and subjected to internal pressure
of given intensity. The distribution of stresses along the hole boundaries and over the zone where they concentrate (when
the distance between the holes is small) is analyzed using approximate and numerical methods to solve doubly nonlinear boundary-value
problems. The data obtained are compared with the solutions of the physically nonlinear (plastic strains taken into account)
and geometrically nonlinear (finite deflections taken into account) problems and with the numerical solution of the linearly
elastic problem. The stress-strain state near the two holes is analyzed depending on the distance between them and the nonlinearities
accounted for
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 88–95, November 2005. 相似文献
9.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2007,43(4):418-424
The elastoplastic state of thin conical shells with a curvilinear (circular) hole is analyzed assuming finite deflections.
The distribution of stresses, strains, and displacements along the hole boundary and in the zone of their concentration are
studied. The stress-strain state around a circular hole in shells subject to internal pressure of prescribed intensity is
analyzed taking into account two nonlinear factors
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 73–79, April 2007. 相似文献
10.
Results obtained on the basis of linearized functionals in the theory of nonlinearly elastic composite shells are analyzed and generalized. The Kirchhoff-Love and Timoshenko hypotheses are used. Possible membrane or shear locking is taken into account. New approaches are proposed to improve the convergence of numerical solution for new classes of nonlinear problems for thin and nonthin shells with a curvilinear (circular, elliptical) hole. The stress-strain state of shells is analyzed using different versions of shell theory. The influence of the nonlinear properties and orthotropy of composite materials on the stress distribution in structural members is studied.Translated from Prikladnaya Mekhanika, Vol. 40, No. 11, pp. 45–84, November 2004.This revised version was published online in April 2005 with a corrected cover date. 相似文献
11.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2011,47(6):679-684
The elastoplastic state of thin conical shells with a circular hole is analyzed assuming finite deflections. The distributions
of stresses, strains, and displacements along the hole boundary and in the zone of their concentration are studied. The stress–strain
state of shells around the hole under axial tension is analyzed taking into account two nonlinear factors. The numerical results
are presented as plots and tables 相似文献
12.
I. S. Chernyshenko E. A. Storozhuk I. B. Rudenko 《International Applied Mechanics》2008,44(12):1397-1404
The elastoplastic state of a thin spherical shell weakened by an elliptic hole is analyzed. Finite deflections are considered.
The hole is reinforced with a thin ring. The shell is made of an isotropic homogeneous material. The load is internal pressure.
A relevant problem is formulated and solved numerically with allowance for physical and geometrical nonlinearities. The distribution
of stresses, strains, and displacements along the elliptic boundary and in the zone of their concentration is studied. The
stress–strain state of the shell near the hole is analyzed
Translated from Prikladnaya Mekhanika, Vol. 44, No. 12, pp. 93–101, December 2008. 相似文献
13.
The nonaxisymmetric plane problem of the nonlinear theory of viscoelasticity is solved for a cylinder reinforced by an elastic circular shell. The cylinder has an internal cut resembling a Maltese cross in shape. The identification of the nonlinear endochronous theory of aging viscoelastic materials is conducted by a genetic algorithm method on the basis a nonmonotonic experimental stress-strain dependence. Some numerical results obtained for the stress-strain state of this cylinder under the action of internal pressure are discussed with consideration of the above physical nonlinearity and the finite logarithmic strains. 相似文献
14.
I. S. Chernyshenko E. A. Storozhuk S. B. Kharenko 《International Applied Mechanics》2008,44(7):802-809
The elastoplastic state of cylindrical shells with a circular hole is studied considering finite deflections. The material
of the shells is isotropic and homogeneous; the load is axial tension. The distribution of stresses, strains, and displacements
along the hole boundary and in the zone of their concentration is studied by solving a doubly nonlinear problem. The data
obtained are compared with the solutions of the physically and geometrically nonlinear problems and a numerical solution of
the linear elastic problem
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 7, pp. 101–109, July 2008. 相似文献
15.
V. I. Butyrin V. N. Maksimenko L. V. Pavshok B. S. Reznikov 《Journal of Applied Mechanics and Technical Physics》2014,55(1):44-51
The stress-strain state of axisymmetric multilayer shells is analyzed using kinematic and static hypotheses that allow for the transverse shear stresses satisfying the necessary equations of state, continuity conditions at the boundaries between the layers and given boundary conditions. A numerical solution of the problem of the stress-strain state for a multilayer bar is compared with the Lekhnitskii solution (for a cantilever beam loaded by a concentrated force and moment) to asses the applicability of the employed bending equations of multilayer shells. It is shown that these solutions are in good agreement. The problem of the initial fracture of the shells considered is formulated using phenomenological strength criteria for each layer. A coordinate-wise descent method in the unit interval is proposed to solve weight optimization problems for multilayer shells of composite materials under combined loading. Regions of safe operating loads and the optimal weight distribution of layer thicknesses are determined for a multilayer bar acted upon by a uniformly distributed load and concentrated force. 相似文献
16.
The approach developed to solve two-dimensional static problems for nonthin conical shells of varying thickness is used to
examine the effect of the geometrical parameters on the stress-strain state of shells. The approach is based on spline-approximation
and a stable numerical method of solving one-dimensional problems
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 46–58, June 2008. 相似文献
17.
V. A. Merzlyakov 《International Applied Mechanics》2008,44(8):892-904
A method to determine the nonstationary temperature fields and the thermoelastoplastic stress-strain state of noncircular
cylindrical shells is developed. It is assumed that the physical and mechanical properties are dependent on temperature. The
heat-conduction problem is solved using an explicit difference scheme. The temperature variation throughout the thickness
is described by a power polynomial. For the other two coordinates, finite differences are used. The thermoplastic problem
is solved using the geometrically nonlinear theory of shells based on the Kirchhoff-Love hypotheses. The theory of simple
processes with deformation history taken into account is used. Its equations are linearized by a modified method of elastic
solutions. The governing system of partial differential equations is derived. Variables are separated in the case where the
curvilinear edges are hinged. The partial case where the stress-strain state does not change along the generatrix is examined.
The systems of ordinary differential equations obtained in all these cases are solved using Godunov's discrete orthogonalization.
The temperature field in a shell with elliptical cross-section is studied. The stress-strain state found by numerical integration
along the generatrix is compared with that obtained using trigonometric Fourier series. The effect of a Winkler foundation
on the stress-strain state is analyzed
Translated from Prikladnaya Mekhanika, Vol. 44, No. 8, pp. 79–90, August 2008. 相似文献
18.
A method is developed for determining the axisymmetric thermoviscoelastoplastic stress-strain state of shells subjected to
bending and torsion. The problem is solved in a geometrically nonlinear formulation with allowance for transverse shear. The
geometrically nonlinear deformation of an annular plate, the thermoviscoelastoplastic deformation of a cylindrical shell,
and the limiting state of a corrugated shell are studied as examples.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 35, No. 12, pp. 40–48, December, 1999. 相似文献
19.
L. P. Zheleznov V. V. Kabanov D. V. Boiko 《Journal of Applied Mechanics and Technical Physics》2010,51(3):431-436
The problem of stability of cylindrical shells with an elliptical cross-sectional contour reinforced by a set of stringers
under combined loading by bending and twisting moments, transverse force, and internal pressure is studied with the use of
the variational method of finite elements in displacements. The subcritical stress-strain state of the shells is assumed to
be moment and nonlinear. The effect of nonlinearity of deformation of the shells and their ellipticity on the critical loads
and buckling type is determined. 相似文献
20.
V. L. Yakushev 《Mechanics of Solids》2011,46(6):937-945
The process of intraocular pressure measurement by an optical analyzer is numerically modeled. The cornea and sclera are treated
as axially symmetric deformable shells of revolution rigidly fixed along the edges; the space between the shells is filled
with an incompressible liquid. The stress-strain state of the cornea and sclera is described by using a nonlinear theory of
shells. The optical system is calculated on the basis of concepts of geometrical optics. Two types of boundary conditions
are compared; for each of them, the relation between the pressure in the air jet and the area of the surface from which the
reflected light is recorded by the photodetector is analyzed. 相似文献